Retrieve arXiv Information

Courant Research Centre ,Higher Order Structures in Mathematics‘

Format:

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

Preview:

Laurent Bartholdi: “Automorphisms of free groups, I”, 2013; arXiv:1304.0498.
Laurent Bartholdi: “Representation zeta functions of self-similar branched groups”, 2013; arXiv:1303.1805.
Laurent Bartholdi, Xavier Buff, Hans-Christian Graf von Bothmer, Jakob Kröker: “Algorithmic construction of Hurwitz maps”, 2013; arXiv:1303.1579.
Laurent Bartholdi, Anna Erschler: “Ordering the space of finitely generated groups”, 2013; arXiv:1301.4669.
Glenn C. Rhoads, Laurent Bartholdi: “The Game of Pure Strategy is solved!”, 2012; arXiv:1202.0695.
Laurent Bartholdi, Anna Erschler: “Groups of given intermediate word growth”, 2011; arXiv:1110.3650.
Agata Smoktunowicz, Laurent Bartholdi: “Images of Golod-Shafarevich algebras with small growth”, 2011; arXiv:1108.4267.
Laurent Bartholdi, Anna G. Erschler: “Poisson-Furstenberg boundary and growth of groups”, 2011; arXiv:1107.5499.
Laurent Bartholdi: “(Self-)similar groups and the Farrell-Jones conjectures”, 2011; arXiv:1107.5339.
Agata Smoktunowicz, Laurent Bartholdi: “On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2”, 2011; arXiv:1102.2697.
Laurent Bartholdi, Pedro V. Silva: “Rational subsets of groups”, 2010; arXiv:1012.1532.
Laurent Bartholdi, Pedro V. Silva: “Groups defined by automata”, 2010; arXiv:1012.1531.
Laurent Bartholdi, Anna G. Erschler: “Growth of permutational extensions”, 2010; arXiv:1011.5266. DOI: 10.1007/s00222-011-0368-x.
Laurent Bartholdi: “Self-similar Lie algebras”, 2010; arXiv:1003.1125.
Laurent Bartholdi, Oleg Bogopolski: “On abstract commensurators of groups”, 2009; arXiv:0902.4542.
Laurent Bartholdi: “On amenability of group algebras, II: graded algebras”, 2006; arXiv:math/0611709.
Laurent Bartholdi, Fabrice Liardet: “Theorie des groupes et psychologie de l'intelligence”, 2005; arXiv:math/0505651.
Laurent Bartholdi: “Amenability of groups acting on trees”, 2002; arXiv:math/0204076.
Laurent Bartholdi, Rostislav I. Grigorchuk: “On a group associated to $z^2-1$”, 2002; arXiv:math/0203244.
Laurent Bartholdi: “Groups of intermediate growth”, 2002; arXiv:math/0201293.
Laurent Bartholdi: “The 2-dimension series of the just-nonsolvable BSV group”, 2001; arXiv:math/0104076.

Copy and paste the text below for the wiki:

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Automorphisms of free groups, I”, 2013; [http://arxiv.org/abs/1304.0498 arXiv:1304.0498].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Representation zeta functions of self-similar branched groups”, 2013; [http://arxiv.org/abs/1303.1805 arXiv:1303.1805].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Xavier Buff, [[User:Bothmer|Hans-Christian Graf von Bothmer]], [[User:Kroeker|Jakob Kröker]]: “Algorithmic construction of Hurwitz maps”, 2013; [http://arxiv.org/abs/1303.1579 arXiv:1303.1579].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Anna Erschler: “Ordering the space of finitely generated groups”, 2013; [http://arxiv.org/abs/1301.4669 arXiv:1301.4669].

* Glenn C. Rhoads, [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “The Game of Pure Strategy is solved!”, 2012; [http://arxiv.org/abs/1202.0695 arXiv:1202.0695].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Anna Erschler: “Groups of given intermediate word growth”, 2011; [http://arxiv.org/abs/1110.3650 arXiv:1110.3650].

* Agata Smoktunowicz, [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Images of Golod-Shafarevich algebras with small growth”, 2011; [http://arxiv.org/abs/1108.4267 arXiv:1108.4267].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Anna G. Erschler: “Poisson-Furstenberg boundary and growth of groups”, 2011; [http://arxiv.org/abs/1107.5499 arXiv:1107.5499].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “(Self-)similar groups and the Farrell-Jones conjectures”, 2011; [http://arxiv.org/abs/1107.5339 arXiv:1107.5339].

* Agata Smoktunowicz, [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2”, 2011; [http://arxiv.org/abs/1102.2697 arXiv:1102.2697].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Pedro V. Silva: “Rational subsets of groups”, 2010; [http://arxiv.org/abs/1012.1532 arXiv:1012.1532].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Pedro V. Silva: “Groups defined by automata”, 2010; [http://arxiv.org/abs/1012.1531 arXiv:1012.1531].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Anna G. Erschler: “Growth of permutational extensions”, 2010; [http://arxiv.org/abs/1011.5266 arXiv:1011.5266]. DOI: [http://dx.doi.org/10.1007/s00222-011-0368-x 10.1007/s00222-011-0368-x].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Self-similar Lie algebras”, 2010; [http://arxiv.org/abs/1003.1125 arXiv:1003.1125].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Oleg Bogopolski: “On abstract commensurators of groups”, 2009; [http://arxiv.org/abs/0902.4542 arXiv:0902.4542].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “On amenability of group algebras, II: graded algebras”, 2006; [http://arxiv.org/abs/math/0611709 arXiv:math/0611709].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Fabrice Liardet: “Theorie des groupes et psychologie de l'intelligence”, 2005; [http://arxiv.org/abs/math/0505651 arXiv:math/0505651].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Amenability of groups acting on trees”, 2002; [http://arxiv.org/abs/math/0204076 arXiv:math/0204076].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk: “On a group associated to $z^2-1$”, 2002; [http://arxiv.org/abs/math/0203244 arXiv:math/0203244].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Groups of intermediate growth”, 2002; [http://arxiv.org/abs/math/0201293 arXiv:math/0201293].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “The 2-dimension series of the just-nonsolvable BSV group”, 2001; [http://arxiv.org/abs/math/0104076 arXiv:math/0104076].

Published:

Preview:

Laurent Bartholdi, André G. Henriques: “Orange Peels and Fresnel Integrals”, 2012, Math. Intelligencer 34 (2012) no. 3, 1-3; arXiv:1202.3033. DOI: 10.1007/s00283-012-9304-1.
Laurent Bartholdi, Thomas Schick, Nat Smale, Steve Smale, Anthony W. Baker: “Hodge Theory on Metric Spaces”, 2009, Foundations of Computational Mathematics 12:1 (2012), 1-48; arXiv:0912.0284. DOI: 10.1007/s10208-011-9107-3.
Laurent Bartholdi, Olivier Siegenthaler: “The Twisted Twin of the Grigorchuk Group”, 2009, Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488; arXiv:0904.1600. DOI: 10.1142/S0218196710005728.
Laurent Bartholdi, Olivier Siegenthaler, Pavel Zalesskii: “The congruence subgroup problem for branch groups”, 2009, Isr. J. Math. 187 (2012) 419--450; arXiv:0902.3220. DOI: 10.1007/s11856-011-0086-5.
Laurent Bartholdi, Pierre de la Harpe: “Representation zeta functions of wreath products with finite groups”, 2008, Groups Geom. Dyn. 4 (2010), 209--249; arXiv:0809.0131. DOI: 10.4171/GGD/81.
Laurent Bartholdi, Vadim A. Kaimanovich, Volodymyr V. Nekrashevych: “On amenability of automata groups”, 2008, Duke Math. J. Volume 154, Number 3 (2010), 575-598; arXiv:0802.2837. DOI: 10.1215/00127094-2010-046.
Laurent Bartholdi, Floriane Pochon: “On growth and torsion of groups”, 2007, Groups Geom. Dyn. 3 (2009), no. 4, 525--539; arXiv:0712.4005.
Laurent Bartholdi: “A converse to Moore's theorem on cellular automata”, 2007, J. Eur. Math. Soc. 12 (2010), 241-248; arXiv:0709.4280. DOI: 10.471/JEMS/196.
Bettina Eick, René Hartung, Laurent Bartholdi: “A nilpotent quotient algorithm for L-presented groups”, 2007, Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344; arXiv:0706.3131. DOI: 10.1142/S0218196708004871.
Laurent Bartholdi, Serge Cantat, Tullio Ceccherini-Silberstein, Pierre de la Harpe: “Estimates for simple random walks on fundamental groups of surfaces”, 2006, Colloq. Math. 72 (1997), no. 1, 173--193; arXiv:math/0612409.
Laurent Bartholdi, Volodymyr V. Nekrashevych: “Iterated Monodromy Groups of Quadratic Polynomials, I”, 2006, Groups Geom. Dyn. 2 (2008), no. 3, 309--336; arXiv:math/0611177.
Laurent Bartholdi: “On Amenability of Group Algebras, I”, 2006, Israel J. Math. 168 (2008), 153--165; arXiv:math/0608302. DOI: 10.1007/s11856-008-1061-7.
Laurent Bartholdi, Zoran Šunik: “Some solvable automaton groups”, 2006, Contemp. Math. 394 (2006), pages 11--30; arXiv:math/0603032.
L. Bartholdi, M. R. Bush: “Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)”, 2006, J. Number Theory 124 (2007), no. 1, 159--166; arXiv:math/0602364. DOI: 10.1016/j.jnt.2006.08.008.
Laurent Bartholdi, Markus Neuhauser, Wolfgang Woess: “Horocyclic products of trees”, 2006, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816; arXiv:math/0601417.
Laurent Bartholdi, Rostislav I. Grigorchuk, Zoran Sunik: “Branch Groups”, 2005, Handbook of algebra, Vol. 3, 989--1112, North-Holland, Amsterdam, 2003; arXiv:math/0510294.
Laurent Bartholdi, Yves de Cornulier: “Infinite groups with large balls of torsion elements and small entropy”, 2005, Archiv der Mathematik 87(2), 104-112, 2006; arXiv:math/0510141. DOI: 10.1007/s00013-005-1684-4.
Laurent Bartholdi, Volodymyr Nekrashevych: “Thurston equivalence of topological polynomials”, 2005, Acta Math. 197 (2006), no. 1, 1--51; arXiv:math/0510082. DOI: 10.1007/s11511-006-0007-3.
Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof, Eric Rains: “Groups and Lie algebras corresponding to the Yang-Baxter equations”, 2005, J. Algebra 305 (2006), no. 2, 742--764; arXiv:math/0509661. DOI: 10.1016/j.jalgebra.2005.12.006.
Laurent Bartholdi, Illya I. Reznykov: “A Mealy machine with polynomial growth of irrational degree”, 2005, Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82; arXiv:math/0506203. DOI: 10.1142/S0218196708004287.
Laurent Bartholdi, Andre G. Henriques, Volodymyr V. Nekrashevych: “Automata, Groups, Limit Spaces, and Tilings”, 2004, J. Algebra 305 (2006), no. 2, 629--663; arXiv:math/0412373. DOI: 10.1016/j.jalgebra.2005.10.022.
Laurent Bartholdi: “Branch Rings, Thinned Rings, Tree Enveloping Rings”, 2004, Israel J. Math. 154 (2006), 93--139; arXiv:math/0410226. DOI: 10.1007/BF02773601.
Laurent Bartholdi, Illya I. Reznykov, Vitaly I. Sushchansky: “The smallest Mealy automaton of intermediate growth”, 2004, J. Algebra 295 (2006), no. 2, 387--414; arXiv:math/0407312. DOI: 10.1016/j.jalgebra.2004.08.040.
Laurent Bartholdi, Wolfgang Woess: “Spectral computations on lamplighter groups and Diestel-Leader graphs”, 2004, J. Fourier Anal. Appl. 11 (2005), no. 2, 175--202; arXiv:math/0405182. DOI: 10.1007/s00041-005-3079-0.
Laurent Bartholdi, Said N. Sidki: “The Automorphism Tower of Groups acting on Rooted Trees”, 2003, Trans. Amer. Math. Soc. 358 (2006), no. 1, 329--358; arXiv:math/0308127. DOI: 10.1090/S0002-9947-05-03712-8.
Laurent Bartholdi, Balint Virag: “Amenability via random walks”, 2003, Duke Math. J. 130 (2005), no. 1, 39--56; arXiv:math/0305262. DOI: 10.1215/S0012-7094-05-13012-5.
Laurent Bartholdi: “A Wilson Group of Non-Uniformly Exponential Growth”, 2002, C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 549--554; arXiv:math/0210471. DOI: 10.1016/S1631-073X(03)00131-6.
Laurent Bartholdi, Rostislav I. Grigorchuk, Volodymyr V. Nekrashevych: “From fractal groups to fractal sets”, 2002, Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003; arXiv:math/0202001.
Laurent Bartholdi: “The 2-dimension series of the just-nonsolvable BSV group”, 2001, New Zealand J. Math. 33 (2004), no. 1, 17--23; arXiv:math/0112109.
Laurent Bartholdi: “Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs”, 2001, Random walks and geometry, 349--361, Walter de Gruyter GmbH & Co. KG, Berlin, 2004; arXiv:math/0112108.
Laurent Bartholdi, Tullio G. Ceccherini-Silberstein: “Growth Series and Random Walks on Some Hyperbolic Graphs”, 2001, Monatsh. Math. 136 (2002), no. 3, 181--202; arXiv:math/0109069. DOI: 10.1007/s006050200043.
Laurent Bartholdi: “Lie Algebras and Growth in Branch Groups”, 2001, Pacific J. Math. 218 (2005), no. 2, 241--282; arXiv:math/0101222. DOI: 10.2140/pjm.2005.218.241.
Laurent Bartholdi, Rostislav I. Grigorchuk: “Sous-groupes paraboliques et representations de groupes branches”, 2000, C. R. Acad. Sci. Paris, Ser. Math. 332 (2001), no. 9, 789-794; arXiv:math/0012175. DOI: 10.1016/S0764-4442(01)01946-2.
Laurent Bartholdi, Rostislav I. Grigorchuk: “Spectra of non-commutative dynamical systems and graphs related to fractal groups”, 2000, C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434; arXiv:math/0012174. DOI: 10.1016/S0764-4442(00)01658-X.
Laurent Bartholdi: “Counting Paths in Graphs”, 2000, Enseign. Math. 45 (1999) 83-131; arXiv:math/0012161.
Laurent Bartholdi: “The Growth of Grigorchuk's Group”, 2000, Internat. Math. Res. Notices 20 (1998) 1049--1054; arXiv:math/0012108. DOI: 10.1155/S1073792898000622.
Laurent Bartholdi: “L-presentations and branch groups”, 2000, J. Algebra 268 (2003), no. 2, 419--443; arXiv:math/0007062. DOI: 10.1016/S0021-8693(03)00268-0.
Laurent Bartholdi, Zoran Sunik: “On the Word and Period Growth of some Groups of Tree Automorphisms”, 2000, Comm. Algebra 29 (2001), no. 11, 4923--4964; arXiv:math/0005113. DOI: 10.1081/AGB-100106794.
Laurent Bartholdi, Rostislav I. Grigorchuk: “Lie Methods in Growth of Groups and Groups of Finite Width”, 2000, Computational and geometric aspects of modern algebra (Edinburgh, 1998), 1--27, London Math. Soc. Lecture Note Ser., 275, Cambridge Univ. Press, Cambridge, 2000; arXiv:math/0002010.
Laurent Bartholdi, Rostislav I. Grigorchuk: “On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups”, 1999, Serdica Math. J. 28 (2002), no. 1, 47--90; arXiv:math/9911206.
Laurent Bartholdi, Rostislav I. Grigorchuk: “On the Spectrum of Hecke Type Operators related to some Fractal Groups”, 1999, Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 5--45; translation in Proc. Steklov Inst. Math. 2000, no. 4 (231), 1--41; arXiv:math/9910102.
Laurent Bartholdi: “Lower Bounds on the Growth of Grigorchuk's Torsion Group”, 1999, Internat. Math. Res. Notices 1998, no. 20, 1049--1054; arXiv:math/9910068. DOI: 10.1155/S1073792898000622.
Laurent Bartholdi, Tullio G. Ceccherini-Silberstein: “Growth series of some hyperbolic graphs and Salem numbers”, 1999, Geom. Dedicata 90 (2002), 107--114; arXiv:math/9910067. DOI: 10.1023/A:1014902918849.
Laurent Bartholdi: “Lamps, Factorizations and Finite Fields”, 1999, Amer. Math. Monthly 107 (2000), no. 5, 429--436; arXiv:math/9910056. DOI: 10.2307/2695298.

Copy and paste the text below for the wiki:

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], André G. Henriques: “Orange Peels and Fresnel Integrals”, 2012, Math. Intelligencer 34 (2012) no. 3, 1-3; [http://arxiv.org/abs/1202.3033 arXiv:1202.3033]. DOI: [http://dx.doi.org/10.1007/s00283-012-9304-1 10.1007/s00283-012-9304-1].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], [http://www.uni-math.gwdg.de/schick/ Thomas Schick], Nat Smale, Steve Smale, Anthony W. Baker: “Hodge Theory on Metric Spaces”, 2009, Foundations of Computational Mathematics 12:1 (2012), 1-48; [http://arxiv.org/abs/0912.0284 arXiv:0912.0284]. DOI: [http://dx.doi.org/10.1007/s10208-011-9107-3 10.1007/s10208-011-9107-3].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Olivier Siegenthaler: “The Twisted Twin of the Grigorchuk Group”, 2009, Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488; [http://arxiv.org/abs/0904.1600 arXiv:0904.1600]. DOI: [http://dx.doi.org/10.1142/S0218196710005728 10.1142/S0218196710005728].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Olivier Siegenthaler, Pavel Zalesskii: “The congruence subgroup problem for branch groups”, 2009, Isr. J. Math. 187 (2012) 419--450; [http://arxiv.org/abs/0902.3220 arXiv:0902.3220]. DOI: [http://dx.doi.org/10.1007/s11856-011-0086-5 10.1007/s11856-011-0086-5].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Pierre de la Harpe: “Representation zeta functions of wreath products with finite groups”, 2008, Groups Geom. Dyn. 4 (2010), 209--249; [http://arxiv.org/abs/0809.0131 arXiv:0809.0131]. DOI: [http://dx.doi.org/10.4171/GGD/81 10.4171/GGD/81].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Vadim A. Kaimanovich, Volodymyr V. Nekrashevych: “On amenability of automata groups”, 2008, Duke Math. J. Volume 154, Number 3 (2010), 575-598; [http://arxiv.org/abs/0802.2837 arXiv:0802.2837]. DOI: [http://dx.doi.org/10.1215/00127094-2010-046 10.1215/00127094-2010-046].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Floriane Pochon: “On growth and torsion of groups”, 2007, Groups Geom. Dyn. 3 (2009), no. 4, 525--539; [http://arxiv.org/abs/0712.4005 arXiv:0712.4005].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “A converse to Moore's theorem on cellular automata”, 2007, J. Eur. Math. Soc. 12 (2010), 241-248; [http://arxiv.org/abs/0709.4280 arXiv:0709.4280]. DOI: [http://dx.doi.org/10.471/JEMS/196 10.471/JEMS/196].

* Bettina Eick, René Hartung, [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “A nilpotent quotient algorithm for L-presented groups”, 2007, Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344; [http://arxiv.org/abs/0706.3131 arXiv:0706.3131]. DOI: [http://dx.doi.org/10.1142/S0218196708004871 10.1142/S0218196708004871].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Serge Cantat, Tullio Ceccherini-Silberstein, Pierre de la Harpe: “Estimates for simple random walks on fundamental groups of surfaces”, 2006, Colloq. Math. 72 (1997), no. 1, 173--193; [http://arxiv.org/abs/math/0612409 arXiv:math/0612409].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Volodymyr V. Nekrashevych: “Iterated Monodromy Groups of Quadratic Polynomials, I”, 2006, Groups Geom. Dyn. 2 (2008), no. 3, 309--336; [http://arxiv.org/abs/math/0611177 arXiv:math/0611177].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “On Amenability of Group Algebras, I”, 2006, Israel J. Math. 168 (2008), 153--165; [http://arxiv.org/abs/math/0608302 arXiv:math/0608302]. DOI: [http://dx.doi.org/10.1007/s11856-008-1061-7 10.1007/s11856-008-1061-7].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Zoran Šunik: “Some solvable automaton groups”, 2006, Contemp. Math. 394 (2006), pages 11--30; [http://arxiv.org/abs/math/0603032 arXiv:math/0603032].

* [http://www.uni-math.gwdg.de/laurent/ L. Bartholdi], M. R. Bush: “Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)”, 2006, J. Number Theory 124 (2007), no. 1, 159--166; [http://arxiv.org/abs/math/0602364 arXiv:math/0602364]. DOI: [http://dx.doi.org/10.1016/j.jnt.2006.08.008 10.1016/j.jnt.2006.08.008].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Markus Neuhauser, Wolfgang Woess: “Horocyclic products of trees”, 2006, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816; [http://arxiv.org/abs/math/0601417 arXiv:math/0601417].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk, Zoran Sunik: “Branch Groups”, 2005, Handbook of algebra, Vol. 3, 989--1112, North-Holland, Amsterdam, 2003; [http://arxiv.org/abs/math/0510294 arXiv:math/0510294].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Yves de Cornulier: “Infinite groups with large balls of torsion elements and small entropy”, 2005, Archiv der Mathematik 87(2), 104-112, 2006; [http://arxiv.org/abs/math/0510141 arXiv:math/0510141]. DOI: [http://dx.doi.org/10.1007/s00013-005-1684-4 10.1007/s00013-005-1684-4].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Volodymyr Nekrashevych: “Thurston equivalence of topological polynomials”, 2005, Acta Math. 197 (2006), no. 1, 1--51; [http://arxiv.org/abs/math/0510082 arXiv:math/0510082]. DOI: [http://dx.doi.org/10.1007/s11511-006-0007-3 10.1007/s11511-006-0007-3].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Benjamin Enriquez, Pavel Etingof, Eric Rains: “Groups and Lie algebras corresponding to the Yang-Baxter equations”, 2005, J. Algebra 305 (2006), no. 2, 742--764; [http://arxiv.org/abs/math/0509661 arXiv:math/0509661]. DOI: [http://dx.doi.org/10.1016/j.jalgebra.2005.12.006 10.1016/j.jalgebra.2005.12.006].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Illya I. Reznykov: “A Mealy machine with polynomial growth of irrational degree”, 2005, Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82; [http://arxiv.org/abs/math/0506203 arXiv:math/0506203]. DOI: [http://dx.doi.org/10.1142/S0218196708004287 10.1142/S0218196708004287].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Andre G. Henriques, Volodymyr V. Nekrashevych: “Automata, Groups, Limit Spaces, and Tilings”, 2004, J. Algebra 305 (2006), no. 2, 629--663; [http://arxiv.org/abs/math/0412373 arXiv:math/0412373]. DOI: [http://dx.doi.org/10.1016/j.jalgebra.2005.10.022 10.1016/j.jalgebra.2005.10.022].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Branch Rings, Thinned Rings, Tree Enveloping Rings”, 2004, Israel J. Math. 154 (2006), 93--139; [http://arxiv.org/abs/math/0410226 arXiv:math/0410226]. DOI: [http://dx.doi.org/10.1007/BF02773601 10.1007/BF02773601].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Illya I. Reznykov, Vitaly I. Sushchansky: “The smallest Mealy automaton of intermediate growth”, 2004, J. Algebra 295 (2006), no. 2, 387--414; [http://arxiv.org/abs/math/0407312 arXiv:math/0407312]. DOI: [http://dx.doi.org/10.1016/j.jalgebra.2004.08.040 10.1016/j.jalgebra.2004.08.040].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Wolfgang Woess: “Spectral computations on lamplighter groups and Diestel-Leader graphs”, 2004, J. Fourier Anal. Appl. 11 (2005), no. 2, 175--202; [http://arxiv.org/abs/math/0405182 arXiv:math/0405182]. DOI: [http://dx.doi.org/10.1007/s00041-005-3079-0 10.1007/s00041-005-3079-0].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Said N. Sidki: “The Automorphism Tower of Groups acting on Rooted Trees”, 2003, Trans. Amer. Math. Soc. 358 (2006), no. 1, 329--358; [http://arxiv.org/abs/math/0308127 arXiv:math/0308127]. DOI: [http://dx.doi.org/10.1090/S0002-9947-05-03712-8 10.1090/S0002-9947-05-03712-8].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Balint Virag: “Amenability via random walks”, 2003, Duke Math. J. 130 (2005), no. 1, 39--56; [http://arxiv.org/abs/math/0305262 arXiv:math/0305262]. DOI: [http://dx.doi.org/10.1215/S0012-7094-05-13012-5 10.1215/S0012-7094-05-13012-5].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “A Wilson Group of Non-Uniformly Exponential Growth”, 2002, C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 549--554; [http://arxiv.org/abs/math/0210471 arXiv:math/0210471]. DOI: [http://dx.doi.org/10.1016/S1631-073X(03)00131-6 10.1016/S1631-073X(03)00131-6].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk, Volodymyr V. Nekrashevych: “From fractal groups to fractal sets”, 2002, Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003; [http://arxiv.org/abs/math/0202001 arXiv:math/0202001].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “The 2-dimension series of the just-nonsolvable BSV group”, 2001, New Zealand J. Math. 33 (2004), no. 1, 17--23; [http://arxiv.org/abs/math/0112109 arXiv:math/0112109].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs”, 2001, Random walks and geometry, 349--361, Walter de Gruyter GmbH & Co. KG, Berlin, 2004; [http://arxiv.org/abs/math/0112108 arXiv:math/0112108].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Tullio G. Ceccherini-Silberstein: “Growth Series and Random Walks on Some Hyperbolic Graphs”, 2001, Monatsh. Math. 136 (2002), no. 3, 181--202; [http://arxiv.org/abs/math/0109069 arXiv:math/0109069]. DOI: [http://dx.doi.org/10.1007/s006050200043 10.1007/s006050200043].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Lie Algebras and Growth in Branch Groups”, 2001, Pacific J. Math. 218 (2005), no. 2, 241--282; [http://arxiv.org/abs/math/0101222 arXiv:math/0101222]. DOI: [http://dx.doi.org/10.2140/pjm.2005.218.241 10.2140/pjm.2005.218.241].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk: “Sous-groupes paraboliques et representations de groupes branches”, 2000, C. R. Acad. Sci. Paris, Ser. Math. 332 (2001), no. 9, 789-794; [http://arxiv.org/abs/math/0012175 arXiv:math/0012175]. DOI: [http://dx.doi.org/10.1016/S0764-4442(01)01946-2 10.1016/S0764-4442(01)01946-2].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk: “Spectra of non-commutative dynamical systems and graphs related to fractal groups”, 2000, C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434; [http://arxiv.org/abs/math/0012174 arXiv:math/0012174]. DOI: [http://dx.doi.org/10.1016/S0764-4442(00)01658-X 10.1016/S0764-4442(00)01658-X].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Counting Paths in Graphs”, 2000, Enseign. Math. 45 (1999) 83-131; [http://arxiv.org/abs/math/0012161 arXiv:math/0012161].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “The Growth of Grigorchuk's Group”, 2000, Internat. Math. Res. Notices 20 (1998) 1049--1054; [http://arxiv.org/abs/math/0012108 arXiv:math/0012108]. DOI: [http://dx.doi.org/10.1155/S1073792898000622 10.1155/S1073792898000622].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “L-presentations and branch groups”, 2000, J. Algebra 268 (2003), no. 2, 419--443; [http://arxiv.org/abs/math/0007062 arXiv:math/0007062]. DOI: [http://dx.doi.org/10.1016/S0021-8693(03)00268-0 10.1016/S0021-8693(03)00268-0].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Zoran Sunik: “On the Word and Period Growth of some Groups of Tree Automorphisms”, 2000, Comm. Algebra 29 (2001), no. 11, 4923--4964; [http://arxiv.org/abs/math/0005113 arXiv:math/0005113]. DOI: [http://dx.doi.org/10.1081/AGB-100106794 10.1081/AGB-100106794].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk: “Lie Methods in Growth of Groups and Groups of Finite Width”, 2000, Computational and geometric aspects of modern algebra (Edinburgh, 1998), 1--27, London Math. Soc. Lecture Note Ser., 275, Cambridge Univ. Press, Cambridge, 2000; [http://arxiv.org/abs/math/0002010 arXiv:math/0002010].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk: “On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups”, 1999, Serdica Math. J. 28 (2002), no. 1, 47--90; [http://arxiv.org/abs/math/9911206 arXiv:math/9911206].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Rostislav I. Grigorchuk: “On the Spectrum of Hecke Type Operators related to some Fractal Groups”, 1999, Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 5--45; translation in Proc. Steklov Inst. Math. 2000, no. 4 (231), 1--41; [http://arxiv.org/abs/math/9910102 arXiv:math/9910102].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Lower Bounds on the Growth of Grigorchuk's Torsion Group”, 1999, Internat. Math. Res. Notices 1998, no. 20, 1049--1054; [http://arxiv.org/abs/math/9910068 arXiv:math/9910068]. DOI: [http://dx.doi.org/10.1155/S1073792898000622 10.1155/S1073792898000622].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi], Tullio G. Ceccherini-Silberstein: “Growth series of some hyperbolic graphs and Salem numbers”, 1999, Geom. Dedicata 90 (2002), 107--114; [http://arxiv.org/abs/math/9910067 arXiv:math/9910067]. DOI: [http://dx.doi.org/10.1023/A:1014902918849 10.1023/A:1014902918849].

* [http://www.uni-math.gwdg.de/laurent/ Laurent Bartholdi]: “Lamps, Factorizations and Finite Fields”, 1999, Amer. Math. Monthly 107 (2000), no. 5, 429--436; [http://arxiv.org/abs/math/9910056 arXiv:math/9910056]. DOI: [http://dx.doi.org/10.2307/2695298 10.2307/2695298].

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

<ul>
<li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Automorphisms of free groups, I”, 2013; <a href='http://arxiv.org/abs/1304.0498'>arXiv:1304.0498</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Representation zeta functions of self-similar branched groups”, 2013; <a href='http://arxiv.org/abs/1303.1805'>arXiv:1303.1805</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Xavier Buff, <a href='http://www.crcg.de/wiki/User:Bothmer'>Hans-Christian Graf von Bothmer</a>, <a href='http://www.crcg.de/wiki/User:Kroeker'>Jakob Kröker</a>: “Algorithmic construction of Hurwitz maps”, 2013; <a href='http://arxiv.org/abs/1303.1579'>arXiv:1303.1579</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Anna Erschler: “Ordering the space of finitely generated groups”, 2013; <a href='http://arxiv.org/abs/1301.4669'>arXiv:1301.4669</a>.
</li><li>
Glenn C. Rhoads, <a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “The Game of Pure Strategy is solved!”, 2012; <a href='http://arxiv.org/abs/1202.0695'>arXiv:1202.0695</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Anna Erschler: “Groups of given intermediate word growth”, 2011; <a href='http://arxiv.org/abs/1110.3650'>arXiv:1110.3650</a>.
</li><li>
Agata Smoktunowicz, <a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Images of Golod-Shafarevich algebras with small growth”, 2011; <a href='http://arxiv.org/abs/1108.4267'>arXiv:1108.4267</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Anna G. Erschler: “Poisson-Furstenberg boundary and growth of groups”, 2011; <a href='http://arxiv.org/abs/1107.5499'>arXiv:1107.5499</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “(Self-)similar groups and the Farrell-Jones conjectures”, 2011; <a href='http://arxiv.org/abs/1107.5339'>arXiv:1107.5339</a>.
</li><li>
Agata Smoktunowicz, <a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2”, 2011; <a href='http://arxiv.org/abs/1102.2697'>arXiv:1102.2697</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Pedro V. Silva: “Rational subsets of groups”, 2010; <a href='http://arxiv.org/abs/1012.1532'>arXiv:1012.1532</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Pedro V. Silva: “Groups defined by automata”, 2010; <a href='http://arxiv.org/abs/1012.1531'>arXiv:1012.1531</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Anna G. Erschler: “Growth of permutational extensions”, 2010; <a href='http://arxiv.org/abs/1011.5266'>arXiv:1011.5266</a>. DOI: <a href='http://dx.doi.org/10.1007/s00222-011-0368-x'>10.1007/s00222-011-0368-x</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Self-similar Lie algebras”, 2010; <a href='http://arxiv.org/abs/1003.1125'>arXiv:1003.1125</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Oleg Bogopolski: “On abstract commensurators of groups”, 2009; <a href='http://arxiv.org/abs/0902.4542'>arXiv:0902.4542</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “On amenability of group algebras, II: graded algebras”, 2006; <a href='http://arxiv.org/abs/math/0611709'>arXiv:math/0611709</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Fabrice Liardet: “Theorie des groupes et psychologie de l'intelligence”, 2005; <a href='http://arxiv.org/abs/math/0505651'>arXiv:math/0505651</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Amenability of groups acting on trees”, 2002; <a href='http://arxiv.org/abs/math/0204076'>arXiv:math/0204076</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk: “On a group associated to $z^2-1$”, 2002; <a href='http://arxiv.org/abs/math/0203244'>arXiv:math/0203244</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Groups of intermediate growth”, 2002; <a href='http://arxiv.org/abs/math/0201293'>arXiv:math/0201293</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “The 2-dimension series of the just-nonsolvable BSV group”, 2001; <a href='http://arxiv.org/abs/math/0104076'>arXiv:math/0104076</a>.
</li>
</ul>

Published:

<ul>
<li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, André G. Henriques: “Orange Peels and Fresnel Integrals”, 2012, Math. Intelligencer 34 (2012) no. 3, 1-3; <a href='http://arxiv.org/abs/1202.3033'>arXiv:1202.3033</a>. DOI: <a href='http://dx.doi.org/10.1007/s00283-012-9304-1'>10.1007/s00283-012-9304-1</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, <a href='http://www.uni-math.gwdg.de/schick/'>Thomas Schick</a>, Nat Smale, Steve Smale, Anthony W. Baker: “Hodge Theory on Metric Spaces”, 2009, Foundations of Computational Mathematics 12:1 (2012), 1-48; <a href='http://arxiv.org/abs/0912.0284'>arXiv:0912.0284</a>. DOI: <a href='http://dx.doi.org/10.1007/s10208-011-9107-3'>10.1007/s10208-011-9107-3</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Olivier Siegenthaler: “The Twisted Twin of the Grigorchuk Group”, 2009, Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488; <a href='http://arxiv.org/abs/0904.1600'>arXiv:0904.1600</a>. DOI: <a href='http://dx.doi.org/10.1142/S0218196710005728'>10.1142/S0218196710005728</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Olivier Siegenthaler, Pavel Zalesskii: “The congruence subgroup problem for branch groups”, 2009, Isr. J. Math. 187 (2012) 419--450; <a href='http://arxiv.org/abs/0902.3220'>arXiv:0902.3220</a>. DOI: <a href='http://dx.doi.org/10.1007/s11856-011-0086-5'>10.1007/s11856-011-0086-5</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Pierre de la Harpe: “Representation zeta functions of wreath products with finite groups”, 2008, Groups Geom. Dyn. 4 (2010), 209--249; <a href='http://arxiv.org/abs/0809.0131'>arXiv:0809.0131</a>. DOI: <a href='http://dx.doi.org/10.4171/GGD/81'>10.4171/GGD/81</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Vadim A. Kaimanovich, Volodymyr V. Nekrashevych: “On amenability of automata groups”, 2008, Duke Math. J. Volume 154, Number 3 (2010), 575-598; <a href='http://arxiv.org/abs/0802.2837'>arXiv:0802.2837</a>. DOI: <a href='http://dx.doi.org/10.1215/00127094-2010-046'>10.1215/00127094-2010-046</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Floriane Pochon: “On growth and torsion of groups”, 2007, Groups Geom. Dyn. 3 (2009), no. 4, 525--539; <a href='http://arxiv.org/abs/0712.4005'>arXiv:0712.4005</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “A converse to Moore's theorem on cellular automata”, 2007, J. Eur. Math. Soc. 12 (2010), 241-248; <a href='http://arxiv.org/abs/0709.4280'>arXiv:0709.4280</a>. DOI: <a href='http://dx.doi.org/10.471/JEMS/196'>10.471/JEMS/196</a>.
</li><li>
Bettina Eick, René Hartung, <a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “A nilpotent quotient algorithm for L-presented groups”, 2007, Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344; <a href='http://arxiv.org/abs/0706.3131'>arXiv:0706.3131</a>. DOI: <a href='http://dx.doi.org/10.1142/S0218196708004871'>10.1142/S0218196708004871</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Serge Cantat, Tullio Ceccherini-Silberstein, Pierre de la Harpe: “Estimates for simple random walks on fundamental groups of surfaces”, 2006, Colloq. Math. 72 (1997), no. 1, 173--193; <a href='http://arxiv.org/abs/math/0612409'>arXiv:math/0612409</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Volodymyr V. Nekrashevych: “Iterated Monodromy Groups of Quadratic Polynomials, I”, 2006, Groups Geom. Dyn. 2 (2008), no. 3, 309--336; <a href='http://arxiv.org/abs/math/0611177'>arXiv:math/0611177</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “On Amenability of Group Algebras, I”, 2006, Israel J. Math. 168 (2008), 153--165; <a href='http://arxiv.org/abs/math/0608302'>arXiv:math/0608302</a>. DOI: <a href='http://dx.doi.org/10.1007/s11856-008-1061-7'>10.1007/s11856-008-1061-7</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Zoran Šunik: “Some solvable automaton groups”, 2006, Contemp. Math. 394 (2006), pages 11--30; <a href='http://arxiv.org/abs/math/0603032'>arXiv:math/0603032</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>L. Bartholdi</a>, M. R. Bush: “Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)”, 2006, J. Number Theory 124 (2007), no. 1, 159--166; <a href='http://arxiv.org/abs/math/0602364'>arXiv:math/0602364</a>. DOI: <a href='http://dx.doi.org/10.1016/j.jnt.2006.08.008'>10.1016/j.jnt.2006.08.008</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Markus Neuhauser, Wolfgang Woess: “Horocyclic products of trees”, 2006, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816; <a href='http://arxiv.org/abs/math/0601417'>arXiv:math/0601417</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk, Zoran Sunik: “Branch Groups”, 2005, Handbook of algebra, Vol. 3, 989--1112, North-Holland, Amsterdam, 2003; <a href='http://arxiv.org/abs/math/0510294'>arXiv:math/0510294</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Yves de Cornulier: “Infinite groups with large balls of torsion elements and small entropy”, 2005, Archiv der Mathematik 87(2), 104-112, 2006; <a href='http://arxiv.org/abs/math/0510141'>arXiv:math/0510141</a>. DOI: <a href='http://dx.doi.org/10.1007/s00013-005-1684-4'>10.1007/s00013-005-1684-4</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Volodymyr Nekrashevych: “Thurston equivalence of topological polynomials”, 2005, Acta Math. 197 (2006), no. 1, 1--51; <a href='http://arxiv.org/abs/math/0510082'>arXiv:math/0510082</a>. DOI: <a href='http://dx.doi.org/10.1007/s11511-006-0007-3'>10.1007/s11511-006-0007-3</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Benjamin Enriquez, Pavel Etingof, Eric Rains: “Groups and Lie algebras corresponding to the Yang-Baxter equations”, 2005, J. Algebra 305 (2006), no. 2, 742--764; <a href='http://arxiv.org/abs/math/0509661'>arXiv:math/0509661</a>. DOI: <a href='http://dx.doi.org/10.1016/j.jalgebra.2005.12.006'>10.1016/j.jalgebra.2005.12.006</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Illya I. Reznykov: “A Mealy machine with polynomial growth of irrational degree”, 2005, Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82; <a href='http://arxiv.org/abs/math/0506203'>arXiv:math/0506203</a>. DOI: <a href='http://dx.doi.org/10.1142/S0218196708004287'>10.1142/S0218196708004287</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Andre G. Henriques, Volodymyr V. Nekrashevych: “Automata, Groups, Limit Spaces, and Tilings”, 2004, J. Algebra 305 (2006), no. 2, 629--663; <a href='http://arxiv.org/abs/math/0412373'>arXiv:math/0412373</a>. DOI: <a href='http://dx.doi.org/10.1016/j.jalgebra.2005.10.022'>10.1016/j.jalgebra.2005.10.022</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Branch Rings, Thinned Rings, Tree Enveloping Rings”, 2004, Israel J. Math. 154 (2006), 93--139; <a href='http://arxiv.org/abs/math/0410226'>arXiv:math/0410226</a>. DOI: <a href='http://dx.doi.org/10.1007/BF02773601'>10.1007/BF02773601</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Illya I. Reznykov, Vitaly I. Sushchansky: “The smallest Mealy automaton of intermediate growth”, 2004, J. Algebra 295 (2006), no. 2, 387--414; <a href='http://arxiv.org/abs/math/0407312'>arXiv:math/0407312</a>. DOI: <a href='http://dx.doi.org/10.1016/j.jalgebra.2004.08.040'>10.1016/j.jalgebra.2004.08.040</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Wolfgang Woess: “Spectral computations on lamplighter groups and Diestel-Leader graphs”, 2004, J. Fourier Anal. Appl. 11 (2005), no. 2, 175--202; <a href='http://arxiv.org/abs/math/0405182'>arXiv:math/0405182</a>. DOI: <a href='http://dx.doi.org/10.1007/s00041-005-3079-0'>10.1007/s00041-005-3079-0</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Said N. Sidki: “The Automorphism Tower of Groups acting on Rooted Trees”, 2003, Trans. Amer. Math. Soc. 358 (2006), no. 1, 329--358; <a href='http://arxiv.org/abs/math/0308127'>arXiv:math/0308127</a>. DOI: <a href='http://dx.doi.org/10.1090/S0002-9947-05-03712-8'>10.1090/S0002-9947-05-03712-8</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Balint Virag: “Amenability via random walks”, 2003, Duke Math. J. 130 (2005), no. 1, 39--56; <a href='http://arxiv.org/abs/math/0305262'>arXiv:math/0305262</a>. DOI: <a href='http://dx.doi.org/10.1215/S0012-7094-05-13012-5'>10.1215/S0012-7094-05-13012-5</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “A Wilson Group of Non-Uniformly Exponential Growth”, 2002, C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 549--554; <a href='http://arxiv.org/abs/math/0210471'>arXiv:math/0210471</a>. DOI: <a href='http://dx.doi.org/10.1016/S1631-073X(03)00131-6'>10.1016/S1631-073X(03)00131-6</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk, Volodymyr V. Nekrashevych: “From fractal groups to fractal sets”, 2002, Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003; <a href='http://arxiv.org/abs/math/0202001'>arXiv:math/0202001</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “The 2-dimension series of the just-nonsolvable BSV group”, 2001, New Zealand J. Math. 33 (2004), no. 1, 17--23; <a href='http://arxiv.org/abs/math/0112109'>arXiv:math/0112109</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs”, 2001, Random walks and geometry, 349--361, Walter de Gruyter GmbH & Co. KG, Berlin, 2004; <a href='http://arxiv.org/abs/math/0112108'>arXiv:math/0112108</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Tullio G. Ceccherini-Silberstein: “Growth Series and Random Walks on Some Hyperbolic Graphs”, 2001, Monatsh. Math. 136 (2002), no. 3, 181--202; <a href='http://arxiv.org/abs/math/0109069'>arXiv:math/0109069</a>. DOI: <a href='http://dx.doi.org/10.1007/s006050200043'>10.1007/s006050200043</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Lie Algebras and Growth in Branch Groups”, 2001, Pacific J. Math. 218 (2005), no. 2, 241--282; <a href='http://arxiv.org/abs/math/0101222'>arXiv:math/0101222</a>. DOI: <a href='http://dx.doi.org/10.2140/pjm.2005.218.241'>10.2140/pjm.2005.218.241</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk: “Sous-groupes paraboliques et representations de groupes branches”, 2000, C. R. Acad. Sci. Paris, Ser. Math. 332 (2001), no. 9, 789-794; <a href='http://arxiv.org/abs/math/0012175'>arXiv:math/0012175</a>. DOI: <a href='http://dx.doi.org/10.1016/S0764-4442(01)01946-2'>10.1016/S0764-4442(01)01946-2</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk: “Spectra of non-commutative dynamical systems and graphs related to fractal groups”, 2000, C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434; <a href='http://arxiv.org/abs/math/0012174'>arXiv:math/0012174</a>. DOI: <a href='http://dx.doi.org/10.1016/S0764-4442(00)01658-X'>10.1016/S0764-4442(00)01658-X</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Counting Paths in Graphs”, 2000, Enseign. Math. 45 (1999) 83-131; <a href='http://arxiv.org/abs/math/0012161'>arXiv:math/0012161</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “The Growth of Grigorchuk's Group”, 2000, Internat. Math. Res. Notices 20 (1998) 1049--1054; <a href='http://arxiv.org/abs/math/0012108'>arXiv:math/0012108</a>. DOI: <a href='http://dx.doi.org/10.1155/S1073792898000622'>10.1155/S1073792898000622</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “L-presentations and branch groups”, 2000, J. Algebra 268 (2003), no. 2, 419--443; <a href='http://arxiv.org/abs/math/0007062'>arXiv:math/0007062</a>. DOI: <a href='http://dx.doi.org/10.1016/S0021-8693(03)00268-0'>10.1016/S0021-8693(03)00268-0</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Zoran Sunik: “On the Word and Period Growth of some Groups of Tree Automorphisms”, 2000, Comm. Algebra 29 (2001), no. 11, 4923--4964; <a href='http://arxiv.org/abs/math/0005113'>arXiv:math/0005113</a>. DOI: <a href='http://dx.doi.org/10.1081/AGB-100106794'>10.1081/AGB-100106794</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk: “Lie Methods in Growth of Groups and Groups of Finite Width”, 2000, Computational and geometric aspects of modern algebra (Edinburgh, 1998), 1--27, London Math. Soc. Lecture Note Ser., 275, Cambridge Univ. Press, Cambridge, 2000; <a href='http://arxiv.org/abs/math/0002010'>arXiv:math/0002010</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk: “On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups”, 1999, Serdica Math. J. 28 (2002), no. 1, 47--90; <a href='http://arxiv.org/abs/math/9911206'>arXiv:math/9911206</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Rostislav I. Grigorchuk: “On the Spectrum of Hecke Type Operators related to some Fractal Groups”, 1999, Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 5--45; translation in Proc. Steklov Inst. Math. 2000, no. 4 (231), 1--41; <a href='http://arxiv.org/abs/math/9910102'>arXiv:math/9910102</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Lower Bounds on the Growth of Grigorchuk's Torsion Group”, 1999, Internat. Math. Res. Notices 1998, no. 20, 1049--1054; <a href='http://arxiv.org/abs/math/9910068'>arXiv:math/9910068</a>. DOI: <a href='http://dx.doi.org/10.1155/S1073792898000622'>10.1155/S1073792898000622</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>, Tullio G. Ceccherini-Silberstein: “Growth series of some hyperbolic graphs and Salem numbers”, 1999, Geom. Dedicata 90 (2002), 107--114; <a href='http://arxiv.org/abs/math/9910067'>arXiv:math/9910067</a>. DOI: <a href='http://dx.doi.org/10.1023/A:1014902918849'>10.1023/A:1014902918849</a>.
</li><li>
<a href='http://www.uni-math.gwdg.de/laurent/'>Laurent Bartholdi</a>: “Lamps, Factorizations and Finite Fields”, 1999, Amer. Math. Monthly 107 (2000), no. 5, 429--436; <a href='http://arxiv.org/abs/math/9910056'>arXiv:math/9910056</a>. DOI: <a href='http://dx.doi.org/10.2307/2695298'>10.2307/2695298</a>.
</li>
</ul>

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

@misc{1304.0498,
Author = {Laurent Bartholdi},
Title = {Automorphisms of free groups, I},
Year = {2013},
Eprint = {arXiv:1304.0498},
}

@misc{1303.1805,
Author = {Laurent Bartholdi},
Title = {Representation zeta functions of self-similar branched groups},
Year = {2013},
Eprint = {arXiv:1303.1805},
}

@misc{1303.1579,
Author = {Laurent Bartholdi and Xavier Buff and Hans-Christian Graf von Bothmer and Jakob Kröker},
Title = {Algorithmic construction of Hurwitz maps},
Year = {2013},
Eprint = {arXiv:1303.1579},
}

@misc{1301.4669,
Author = {Laurent Bartholdi and Anna Erschler},
Title = {Ordering the space of finitely generated groups},
Year = {2013},
Eprint = {arXiv:1301.4669},
}

@misc{1202.0695,
Author = {Glenn C. Rhoads and Laurent Bartholdi},
Title = {The Game of Pure Strategy is solved!},
Year = {2012},
Eprint = {arXiv:1202.0695},
}

@misc{1110.3650,
Author = {Laurent Bartholdi and Anna Erschler},
Title = {Groups of given intermediate word growth},
Year = {2011},
Eprint = {arXiv:1110.3650},
}

@misc{1108.4267,
Author = {Agata Smoktunowicz and Laurent Bartholdi},
Title = {Images of Golod-Shafarevich algebras with small growth},
Year = {2011},
Eprint = {arXiv:1108.4267},
}

@misc{1107.5499,
Author = {Laurent Bartholdi and Anna G. Erschler},
Title = {Poisson-Furstenberg boundary and growth of groups},
Year = {2011},
Eprint = {arXiv:1107.5499},
}

@misc{1107.5339,
Author = {Laurent Bartholdi},
Title = {(Self-)similar groups and the Farrell-Jones conjectures},
Year = {2011},
Eprint = {arXiv:1107.5339},
}

@misc{1102.2697,
Author = {Agata Smoktunowicz and Laurent Bartholdi},
Title = {On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2},
Year = {2011},
Eprint = {arXiv:1102.2697},
}

@misc{1012.1532,
Author = {Laurent Bartholdi and Pedro V. Silva},
Title = {Rational subsets of groups},
Year = {2010},
Eprint = {arXiv:1012.1532},
}

@misc{1012.1531,
Author = {Laurent Bartholdi and Pedro V. Silva},
Title = {Groups defined by automata},
Year = {2010},
Eprint = {arXiv:1012.1531},
}

@misc{1011.5266,
Author = {Laurent Bartholdi and Anna G. Erschler},
Title = {Growth of permutational extensions},
Year = {2010},
Eprint = {arXiv:1011.5266},
Doi = {10.1007/s00222-011-0368-x},
}

@misc{1003.1125,
Author = {Laurent Bartholdi},
Title = {Self-similar Lie algebras},
Year = {2010},
Eprint = {arXiv:1003.1125},
}

@misc{0902.4542,
Author = {Laurent Bartholdi and Oleg Bogopolski},
Title = {On abstract commensurators of groups},
Year = {2009},
Eprint = {arXiv:0902.4542},
}

@misc{math/0611709,
Author = {Laurent Bartholdi},
Title = {On amenability of group algebras, II: graded algebras},
Year = {2006},
Eprint = {arXiv:math/0611709},
}

@misc{math/0505651,
Author = {Laurent Bartholdi and Fabrice Liardet},
Title = {Theorie des groupes et psychologie de l'intelligence},
Year = {2005},
Eprint = {arXiv:math/0505651},
}

@misc{math/0204076,
Author = {Laurent Bartholdi},
Title = {Amenability of groups acting on trees},
Year = {2002},
Eprint = {arXiv:math/0204076},
}

@misc{math/0203244,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
Title = {On a group associated to $z^2-1$},
Year = {2002},
Eprint = {arXiv:math/0203244},
}

@misc{math/0201293,
Author = {Laurent Bartholdi},
Title = {Groups of intermediate growth},
Year = {2002},
Eprint = {arXiv:math/0201293},
}

@misc{math/0104076,
Author = {Laurent Bartholdi},
Title = {The 2-dimension series of the just-nonsolvable BSV group},
Year = {2001},
Eprint = {arXiv:math/0104076},
}

Published:

These BibTeX records are based on arXiv information only. You may prefer getting the more detailed records provided by MathSciNet instead.

@misc{1202.3033,
Author = {Laurent Bartholdi and André G. Henriques},
Title = {Orange Peels and Fresnel Integrals},
Year = {2012},
Eprint = {arXiv:1202.3033},
Howpublished = {Math. Intelligencer 34 (2012) no. 3, 1-3},
Doi = {10.1007/s00283-012-9304-1},
}

@misc{0912.0284,
Author = {Laurent Bartholdi and Thomas Schick and Nat Smale and Steve Smale and Anthony W. Baker},
Title = {Hodge Theory on Metric Spaces},
Year = {2009},
Eprint = {arXiv:0912.0284},
Howpublished = {Foundations of Computational Mathematics 12:1 (2012), 1-48},
Doi = {10.1007/s10208-011-9107-3},
}

@misc{0904.1600,
Author = {Laurent Bartholdi and Olivier Siegenthaler},
Title = {The Twisted Twin of the Grigorchuk Group},
Year = {2009},
Eprint = {arXiv:0904.1600},
Howpublished = {Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488},
Doi = {10.1142/S0218196710005728},
}

@misc{0902.3220,
Author = {Laurent Bartholdi and Olivier Siegenthaler and Pavel Zalesskii},
Title = {The congruence subgroup problem for branch groups},
Year = {2009},
Eprint = {arXiv:0902.3220},
Howpublished = {Isr. J. Math. 187 (2012) 419--450},
Doi = {10.1007/s11856-011-0086-5},
}

@misc{0809.0131,
Author = {Laurent Bartholdi and Pierre de la Harpe},
Title = {Representation zeta functions of wreath products with finite groups},
Year = {2008},
Eprint = {arXiv:0809.0131},
Howpublished = {Groups Geom. Dyn. 4 (2010), 209--249},
Doi = {10.4171/GGD/81},
}

@misc{0802.2837,
Author = {Laurent Bartholdi and Vadim A. Kaimanovich and Volodymyr V. Nekrashevych},
Title = {On amenability of automata groups},
Year = {2008},
Eprint = {arXiv:0802.2837},
Howpublished = {Duke Math. J. Volume 154, Number 3 (2010), 575-598},
Doi = {10.1215/00127094-2010-046},
}

@misc{0712.4005,
Author = {Laurent Bartholdi and Floriane Pochon},
Title = {On growth and torsion of groups},
Year = {2007},
Eprint = {arXiv:0712.4005},
Howpublished = {Groups Geom. Dyn. 3 (2009), no. 4, 525--539},
}

@misc{0709.4280,
Author = {Laurent Bartholdi},
Title = {A converse to Moore's theorem on cellular automata},
Year = {2007},
Eprint = {arXiv:0709.4280},
Howpublished = {J. Eur. Math. Soc. 12 (2010), 241-248},
Doi = {10.471/JEMS/196},
}

@misc{0706.3131,
Author = {Bettina Eick and René Hartung and Laurent Bartholdi},
Title = {A nilpotent quotient algorithm for L-presented groups},
Year = {2007},
Eprint = {arXiv:0706.3131},
Howpublished = {Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344},
Doi = {10.1142/S0218196708004871},
}

@misc{math/0612409,
Author = {Laurent Bartholdi and Serge Cantat and Tullio Ceccherini-Silberstein and Pierre de la Harpe},
Title = {Estimates for simple random walks on fundamental groups of surfaces},
Year = {2006},
Eprint = {arXiv:math/0612409},
Howpublished = {Colloq. Math. 72 (1997), no. 1, 173--193},
}

@misc{math/0611177,
Author = {Laurent Bartholdi and Volodymyr V. Nekrashevych},
Title = {Iterated Monodromy Groups of Quadratic Polynomials, I},
Year = {2006},
Eprint = {arXiv:math/0611177},
Howpublished = {Groups Geom. Dyn. 2 (2008), no. 3, 309--336},
}

@misc{math/0608302,
Author = {Laurent Bartholdi},
Title = {On Amenability of Group Algebras, I},
Year = {2006},
Eprint = {arXiv:math/0608302},
Howpublished = {Israel J. Math. 168 (2008), 153--165},
Doi = {10.1007/s11856-008-1061-7},
}

@misc{math/0603032,
Author = {Laurent Bartholdi and Zoran Šunik},
Title = {Some solvable automaton groups},
Year = {2006},
Eprint = {arXiv:math/0603032},
Howpublished = {Contemp. Math. 394 (2006), pages 11--30},
}

@misc{math/0602364,
Author = {L. Bartholdi and M. R. Bush},
Title = {Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)},
Year = {2006},
Eprint = {arXiv:math/0602364},
Howpublished = {J. Number Theory 124 (2007), no. 1, 159--166},
Doi = {10.1016/j.jnt.2006.08.008},
}

@misc{math/0601417,
Author = {Laurent Bartholdi and Markus Neuhauser and Wolfgang Woess},
Title = {Horocyclic products of trees},
Year = {2006},
Eprint = {arXiv:math/0601417},
Howpublished = {J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816},
}

@misc{math/0510294,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk and Zoran Sunik},
Title = {Branch Groups},
Year = {2005},
Eprint = {arXiv:math/0510294},
Howpublished = {Handbook of algebra, Vol. 3, 989--1112, North-Holland, Amsterdam, 2003},
}

@misc{math/0510141,
Author = {Laurent Bartholdi and Yves de Cornulier},
Title = {Infinite groups with large balls of torsion elements and small entropy},
Year = {2005},
Eprint = {arXiv:math/0510141},
Howpublished = {Archiv der Mathematik 87(2), 104-112, 2006},
Doi = {10.1007/s00013-005-1684-4},
}

@misc{math/0510082,
Author = {Laurent Bartholdi and Volodymyr Nekrashevych},
Title = {Thurston equivalence of topological polynomials},
Year = {2005},
Eprint = {arXiv:math/0510082},
Howpublished = {Acta Math. 197 (2006), no. 1, 1--51},
Doi = {10.1007/s11511-006-0007-3},
}

@misc{math/0509661,
Author = {Laurent Bartholdi and Benjamin Enriquez and Pavel Etingof and Eric Rains},
Title = {Groups and Lie algebras corresponding to the Yang-Baxter equations},
Year = {2005},
Eprint = {arXiv:math/0509661},
Howpublished = {J. Algebra 305 (2006), no. 2, 742--764},
Doi = {10.1016/j.jalgebra.2005.12.006},
}

@misc{math/0506203,
Author = {Laurent Bartholdi and Illya I. Reznykov},
Title = {A Mealy machine with polynomial growth of irrational degree},
Year = {2005},
Eprint = {arXiv:math/0506203},
Howpublished = {Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82},
Doi = {10.1142/S0218196708004287},
}

@misc{math/0412373,
Author = {Laurent Bartholdi and Andre G. Henriques and Volodymyr V. Nekrashevych},
Title = {Automata, Groups, Limit Spaces, and Tilings},
Year = {2004},
Eprint = {arXiv:math/0412373},
Howpublished = {J. Algebra 305 (2006), no. 2, 629--663},
Doi = {10.1016/j.jalgebra.2005.10.022},
}

@misc{math/0410226,
Author = {Laurent Bartholdi},
Title = {Branch Rings, Thinned Rings, Tree Enveloping Rings},
Year = {2004},
Eprint = {arXiv:math/0410226},
Howpublished = {Israel J. Math. 154 (2006), 93--139},
Doi = {10.1007/BF02773601},
}

@misc{math/0407312,
Author = {Laurent Bartholdi and Illya I. Reznykov and Vitaly I. Sushchansky},
Title = {The smallest Mealy automaton of intermediate growth},
Year = {2004},
Eprint = {arXiv:math/0407312},
Howpublished = {J. Algebra 295 (2006), no. 2, 387--414},
Doi = {10.1016/j.jalgebra.2004.08.040},
}

@misc{math/0405182,
Author = {Laurent Bartholdi and Wolfgang Woess},
Title = {Spectral computations on lamplighter groups and Diestel-Leader graphs},
Year = {2004},
Eprint = {arXiv:math/0405182},
Howpublished = {J. Fourier Anal. Appl. 11 (2005), no. 2, 175--202},
Doi = {10.1007/s00041-005-3079-0},
}

@misc{math/0308127,
Author = {Laurent Bartholdi and Said N. Sidki},
Title = {The Automorphism Tower of Groups acting on Rooted Trees},
Year = {2003},
Eprint = {arXiv:math/0308127},
Howpublished = {Trans. Amer. Math. Soc. 358 (2006), no. 1, 329--358},
Doi = {10.1090/S0002-9947-05-03712-8},
}

@misc{math/0305262,
Author = {Laurent Bartholdi and Balint Virag},
Title = {Amenability via random walks},
Year = {2003},
Eprint = {arXiv:math/0305262},
Howpublished = {Duke Math. J. 130 (2005), no. 1, 39--56},
Doi = {10.1215/S0012-7094-05-13012-5},
}

@misc{math/0210471,
Author = {Laurent Bartholdi},
Title = {A Wilson Group of Non-Uniformly Exponential Growth},
Year = {2002},
Eprint = {arXiv:math/0210471},
Howpublished = {C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 549--554},
Doi = {10.1016/S1631-073X(03)00131-6},
}

@misc{math/0202001,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk and Volodymyr V. Nekrashevych},
Title = {From fractal groups to fractal sets},
Year = {2002},
Eprint = {arXiv:math/0202001},
Howpublished = {Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003},
}

@misc{math/0112109,
Author = {Laurent Bartholdi},
Title = {The 2-dimension series of the just-nonsolvable BSV group},
Year = {2001},
Eprint = {arXiv:math/0112109},
Howpublished = {New Zealand J. Math. 33 (2004), no. 1, 17--23},
}

@misc{math/0112108,
Author = {Laurent Bartholdi},
Title = {Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs},
Year = {2001},
Eprint = {arXiv:math/0112108},
Howpublished = {Random walks and geometry, 349--361, Walter de Gruyter GmbH & Co. KG, Berlin, 2004},
}

@misc{math/0109069,
Author = {Laurent Bartholdi and Tullio G. Ceccherini-Silberstein},
Title = {Growth Series and Random Walks on Some Hyperbolic Graphs},
Year = {2001},
Eprint = {arXiv:math/0109069},
Howpublished = {Monatsh. Math. 136 (2002), no. 3, 181--202},
Doi = {10.1007/s006050200043},
}

@misc{math/0101222,
Author = {Laurent Bartholdi},
Title = {Lie Algebras and Growth in Branch Groups},
Year = {2001},
Eprint = {arXiv:math/0101222},
Howpublished = {Pacific J. Math. 218 (2005), no. 2, 241--282},
Doi = {10.2140/pjm.2005.218.241},
}

@misc{math/0012175,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
Title = {Sous-groupes paraboliques et representations de groupes branches},
Year = {2000},
Eprint = {arXiv:math/0012175},
Howpublished = {C. R. Acad. Sci. Paris, Ser. Math. 332 (2001), no. 9, 789-794},
Doi = {10.1016/S0764-4442(01)01946-2},
}

@misc{math/0012174,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
Title = {Spectra of non-commutative dynamical systems and graphs related to fractal groups},
Year = {2000},
Eprint = {arXiv:math/0012174},
Howpublished = {C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434},
Doi = {10.1016/S0764-4442(00)01658-X},
}

@misc{math/0012161,
Author = {Laurent Bartholdi},
Title = {Counting Paths in Graphs},
Year = {2000},
Eprint = {arXiv:math/0012161},
Howpublished = {Enseign. Math. 45 (1999) 83-131},
}

@misc{math/0012108,
Author = {Laurent Bartholdi},
Title = {The Growth of Grigorchuk's Group},
Year = {2000},
Eprint = {arXiv:math/0012108},
Howpublished = {Internat. Math. Res. Notices 20 (1998) 1049--1054},
Doi = {10.1155/S1073792898000622},
}

@misc{math/0007062,
Author = {Laurent Bartholdi},
Title = {L-presentations and branch groups},
Year = {2000},
Eprint = {arXiv:math/0007062},
Howpublished = {J. Algebra 268 (2003), no. 2, 419--443},
Doi = {10.1016/S0021-8693(03)00268-0},
}

@misc{math/0005113,
Author = {Laurent Bartholdi and Zoran Sunik},
Title = {On the Word and Period Growth of some Groups of Tree Automorphisms},
Year = {2000},
Eprint = {arXiv:math/0005113},
Howpublished = {Comm. Algebra 29 (2001), no. 11, 4923--4964},
Doi = {10.1081/AGB-100106794},
}

@misc{math/0002010,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
Title = {Lie Methods in Growth of Groups and Groups of Finite Width},
Year = {2000},
Eprint = {arXiv:math/0002010},
Howpublished = {Computational and geometric aspects of modern algebra (Edinburgh, 1998), 1--27, London Math. Soc. Lecture Note Ser., 275, Cambridge Univ. Press, Cambridge, 2000},
}

@misc{math/9911206,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
Title = {On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups},
Year = {1999},
Eprint = {arXiv:math/9911206},
Howpublished = {Serdica Math. J. 28 (2002), no. 1, 47--90},
}

@misc{math/9910102,
Author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
Title = {On the Spectrum of Hecke Type Operators related to some Fractal Groups},
Year = {1999},
Eprint = {arXiv:math/9910102},
Howpublished = {Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 5--45; translation in Proc. Steklov Inst. Math. 2000, no. 4 (231), 1--41},
}

@misc{math/9910068,
Author = {Laurent Bartholdi},
Title = {Lower Bounds on the Growth of Grigorchuk's Torsion Group},
Year = {1999},
Eprint = {arXiv:math/9910068},
Howpublished = {Internat. Math. Res. Notices 1998, no. 20, 1049--1054},
Doi = {10.1155/S1073792898000622},
}

@misc{math/9910067,
Author = {Laurent Bartholdi and Tullio G. Ceccherini-Silberstein},
Title = {Growth series of some hyperbolic graphs and Salem numbers},
Year = {1999},
Eprint = {arXiv:math/9910067},
Howpublished = {Geom. Dedicata 90 (2002), 107--114},
Doi = {10.1023/A:1014902918849},
}

@misc{math/9910056,
Author = {Laurent Bartholdi},
Title = {Lamps, Factorizations and Finite Fields},
Year = {1999},
Eprint = {arXiv:math/9910056},
Howpublished = {Amer. Math. Monthly 107 (2000), no. 5, 429--436},
Doi = {10.2307/2695298},
}

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

Simple-minded \bibitems:

\begin{thebibliography}

\bibitem{1304.0498}
Laurent Bartholdi.
\newblock Automorphisms of free groups, I, 2013;
\newblock arXiv:1304.0498.

\bibitem{1303.1805}
Laurent Bartholdi.
\newblock Representation zeta functions of self-similar branched groups, 2013;
\newblock arXiv:1303.1805.

\bibitem{1303.1579}
Laurent Bartholdi, Xavier Buff, Hans-Christian Graf von Bothmer and Jakob Kröker.
\newblock Algorithmic construction of Hurwitz maps, 2013;
\newblock arXiv:1303.1579.

\bibitem{1301.4669}
Laurent Bartholdi and Anna Erschler.
\newblock Ordering the space of finitely generated groups, 2013;
\newblock arXiv:1301.4669.

\bibitem{1202.0695}
Glenn C. Rhoads and Laurent Bartholdi.
\newblock The Game of Pure Strategy is solved!, 2012;
\newblock arXiv:1202.0695.

\bibitem{1110.3650}
Laurent Bartholdi and Anna Erschler.
\newblock Groups of given intermediate word growth, 2011;
\newblock arXiv:1110.3650.

\bibitem{1108.4267}
Agata Smoktunowicz and Laurent Bartholdi.
\newblock Images of Golod-Shafarevich algebras with small growth, 2011;
\newblock arXiv:1108.4267.

\bibitem{1107.5499}
Laurent Bartholdi and Anna G. Erschler.
\newblock Poisson-Furstenberg boundary and growth of groups, 2011;
\newblock arXiv:1107.5499.

\bibitem{1107.5339}
Laurent Bartholdi.
\newblock (Self-)similar groups and the Farrell-Jones conjectures, 2011;
\newblock arXiv:1107.5339.

\bibitem{1102.2697}
Agata Smoktunowicz and Laurent Bartholdi.
\newblock On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2, 2011;
\newblock arXiv:1102.2697.

\bibitem{1012.1532}
Laurent Bartholdi and Pedro V. Silva.
\newblock Rational subsets of groups, 2010;
\newblock arXiv:1012.1532.

\bibitem{1012.1531}
Laurent Bartholdi and Pedro V. Silva.
\newblock Groups defined by automata, 2010;
\newblock arXiv:1012.1531.

\bibitem{1011.5266}
Laurent Bartholdi and Anna G. Erschler.
\newblock Growth of permutational extensions, 2010;
\newblock arXiv:1011.5266.
\newblock DOI:10.1007/s00222-011-0368-x.

\bibitem{1003.1125}
Laurent Bartholdi.
\newblock Self-similar Lie algebras, 2010;
\newblock arXiv:1003.1125.

\bibitem{0902.4542}
Laurent Bartholdi and Oleg Bogopolski.
\newblock On abstract commensurators of groups, 2009;
\newblock arXiv:0902.4542.

\bibitem{math/0611709}
Laurent Bartholdi.
\newblock On amenability of group algebras, II: graded algebras, 2006;
\newblock arXiv:math/0611709.

\bibitem{math/0505651}
Laurent Bartholdi and Fabrice Liardet.
\newblock Theorie des groupes et psychologie de l'intelligence, 2005;
\newblock arXiv:math/0505651.

\bibitem{math/0204076}
Laurent Bartholdi.
\newblock Amenability of groups acting on trees, 2002;
\newblock arXiv:math/0204076.

\bibitem{math/0203244}
Laurent Bartholdi and Rostislav I. Grigorchuk.
\newblock On a group associated to $z^2-1$, 2002;
\newblock arXiv:math/0203244.

\bibitem{math/0201293}
Laurent Bartholdi.
\newblock Groups of intermediate growth, 2002;
\newblock arXiv:math/0201293.

\bibitem{math/0104076}
Laurent Bartholdi.
\newblock The 2-dimension series of the just-nonsolvable BSV group, 2001;
\newblock arXiv:math/0104076.

\end{thebibliography}

Published:

Simple-minded \bibitems:

\begin{thebibliography}

\bibitem{1202.3033}
Laurent Bartholdi and André G. Henriques.
\newblock Orange Peels and Fresnel Integrals, 2012,
\newblock Math. Intelligencer 34 (2012) no. 3, 1-3;
\newblock arXiv:1202.3033.
\newblock DOI:10.1007/s00283-012-9304-1.

\bibitem{0912.0284}
Laurent Bartholdi, Thomas Schick, Nat Smale, Steve Smale and Anthony W. Baker.
\newblock Hodge Theory on Metric Spaces, 2009,
\newblock Foundations of Computational Mathematics 12:1 (2012), 1-48;
\newblock arXiv:0912.0284.
\newblock DOI:10.1007/s10208-011-9107-3.

\bibitem{0904.1600}
Laurent Bartholdi and Olivier Siegenthaler.
\newblock The Twisted Twin of the Grigorchuk Group, 2009,
\newblock Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488;
\newblock arXiv:0904.1600.
\newblock DOI:10.1142/S0218196710005728.

\bibitem{0902.3220}
Laurent Bartholdi, Olivier Siegenthaler and Pavel Zalesskii.
\newblock The congruence subgroup problem for branch groups, 2009,
\newblock Isr. J. Math. 187 (2012) 419--450;
\newblock arXiv:0902.3220.
\newblock DOI:10.1007/s11856-011-0086-5.

\bibitem{0809.0131}
Laurent Bartholdi and Pierre de la Harpe.
\newblock Representation zeta functions of wreath products with finite groups, 2008,
\newblock Groups Geom. Dyn. 4 (2010), 209--249;
\newblock arXiv:0809.0131.
\newblock DOI:10.4171/GGD/81.

\bibitem{0802.2837}
Laurent Bartholdi, Vadim A. Kaimanovich and Volodymyr V. Nekrashevych.
\newblock On amenability of automata groups, 2008,
\newblock Duke Math. J. Volume 154, Number 3 (2010), 575-598;
\newblock arXiv:0802.2837.
\newblock DOI:10.1215/00127094-2010-046.

\bibitem{0712.4005}
Laurent Bartholdi and Floriane Pochon.
\newblock On growth and torsion of groups, 2007,
\newblock Groups Geom. Dyn. 3 (2009), no. 4, 525--539;
\newblock arXiv:0712.4005.

\bibitem{0709.4280}
Laurent Bartholdi.
\newblock A converse to Moore's theorem on cellular automata, 2007,
\newblock J. Eur. Math. Soc. 12 (2010), 241-248;
\newblock arXiv:0709.4280.
\newblock DOI:10.471/JEMS/196.

\bibitem{0706.3131}
Bettina Eick, René Hartung and Laurent Bartholdi.
\newblock A nilpotent quotient algorithm for L-presented groups, 2007,
\newblock Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344;
\newblock arXiv:0706.3131.
\newblock DOI:10.1142/S0218196708004871.

\bibitem{math/0612409}
Laurent Bartholdi, Serge Cantat, Tullio Ceccherini-Silberstein and Pierre de la Harpe.
\newblock Estimates for simple random walks on fundamental groups of surfaces, 2006,
\newblock Colloq. Math. 72 (1997), no. 1, 173--193;
\newblock arXiv:math/0612409.

\bibitem{math/0611177}
Laurent Bartholdi and Volodymyr V. Nekrashevych.
\newblock Iterated Monodromy Groups of Quadratic Polynomials, I, 2006,
\newblock Groups Geom. Dyn. 2 (2008), no. 3, 309--336;
\newblock arXiv:math/0611177.

\bibitem{math/0608302}
Laurent Bartholdi.
\newblock On Amenability of Group Algebras, I, 2006,
\newblock Israel J. Math. 168 (2008), 153--165;
\newblock arXiv:math/0608302.
\newblock DOI:10.1007/s11856-008-1061-7.

\bibitem{math/0603032}
Laurent Bartholdi and Zoran Šunik.
\newblock Some solvable automaton groups, 2006,
\newblock Contemp. Math. 394 (2006), pages 11--30;
\newblock arXiv:math/0603032.

\bibitem{math/0602364}
L. Bartholdi and M. R. Bush.
\newblock Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3), 2006,
\newblock J. Number Theory 124 (2007), no. 1, 159--166;
\newblock arXiv:math/0602364.
\newblock DOI:10.1016/j.jnt.2006.08.008.

\bibitem{math/0601417}
Laurent Bartholdi, Markus Neuhauser and Wolfgang Woess.
\newblock Horocyclic products of trees, 2006,
\newblock J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816;
\newblock arXiv:math/0601417.

\bibitem{math/0510294}
Laurent Bartholdi, Rostislav I. Grigorchuk and Zoran Sunik.
\newblock Branch Groups, 2005,
\newblock Handbook of algebra, Vol. 3, 989--1112, North-Holland, Amsterdam, 2003;
\newblock arXiv:math/0510294.

\bibitem{math/0510141}
Laurent Bartholdi and Yves de Cornulier.
\newblock Infinite groups with large balls of torsion elements and small entropy, 2005,
\newblock Archiv der Mathematik 87(2), 104-112, 2006;
\newblock arXiv:math/0510141.
\newblock DOI:10.1007/s00013-005-1684-4.

\bibitem{math/0510082}
Laurent Bartholdi and Volodymyr Nekrashevych.
\newblock Thurston equivalence of topological polynomials, 2005,
\newblock Acta Math. 197 (2006), no. 1, 1--51;
\newblock arXiv:math/0510082.
\newblock DOI:10.1007/s11511-006-0007-3.

\bibitem{math/0509661}
Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof and Eric Rains.
\newblock Groups and Lie algebras corresponding to the Yang-Baxter equations, 2005,
\newblock J. Algebra 305 (2006), no. 2, 742--764;
\newblock arXiv:math/0509661.
\newblock DOI:10.1016/j.jalgebra.2005.12.006.

\bibitem{math/0506203}
Laurent Bartholdi and Illya I. Reznykov.
\newblock A Mealy machine with polynomial growth of irrational degree, 2005,
\newblock Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82;
\newblock arXiv:math/0506203.
\newblock DOI:10.1142/S0218196708004287.

\bibitem{math/0412373}
Laurent Bartholdi, Andre G. Henriques and Volodymyr V. Nekrashevych.
\newblock Automata, Groups, Limit Spaces, and Tilings, 2004,
\newblock J. Algebra 305 (2006), no. 2, 629--663;
\newblock arXiv:math/0412373.
\newblock DOI:10.1016/j.jalgebra.2005.10.022.

\bibitem{math/0410226}
Laurent Bartholdi.
\newblock Branch Rings, Thinned Rings, Tree Enveloping Rings, 2004,
\newblock Israel J. Math. 154 (2006), 93--139;
\newblock arXiv:math/0410226.
\newblock DOI:10.1007/BF02773601.

\bibitem{math/0407312}
Laurent Bartholdi, Illya I. Reznykov and Vitaly I. Sushchansky.
\newblock The smallest Mealy automaton of intermediate growth, 2004,
\newblock J. Algebra 295 (2006), no. 2, 387--414;
\newblock arXiv:math/0407312.
\newblock DOI:10.1016/j.jalgebra.2004.08.040.

\bibitem{math/0405182}
Laurent Bartholdi and Wolfgang Woess.
\newblock Spectral computations on lamplighter groups and Diestel-Leader graphs, 2004,
\newblock J. Fourier Anal. Appl. 11 (2005), no. 2, 175--202;
\newblock arXiv:math/0405182.
\newblock DOI:10.1007/s00041-005-3079-0.

\bibitem{math/0308127}
Laurent Bartholdi and Said N. Sidki.
\newblock The Automorphism Tower of Groups acting on Rooted Trees, 2003,
\newblock Trans. Amer. Math. Soc. 358 (2006), no. 1, 329--358;
\newblock arXiv:math/0308127.
\newblock DOI:10.1090/S0002-9947-05-03712-8.

\bibitem{math/0305262}
Laurent Bartholdi and Balint Virag.
\newblock Amenability via random walks, 2003,
\newblock Duke Math. J. 130 (2005), no. 1, 39--56;
\newblock arXiv:math/0305262.
\newblock DOI:10.1215/S0012-7094-05-13012-5.

\bibitem{math/0210471}
Laurent Bartholdi.
\newblock A Wilson Group of Non-Uniformly Exponential Growth, 2002,
\newblock C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 549--554;
\newblock arXiv:math/0210471.
\newblock DOI:10.1016/S1631-073X(03)00131-6.

\bibitem{math/0202001}
Laurent Bartholdi, Rostislav I. Grigorchuk and Volodymyr V. Nekrashevych.
\newblock From fractal groups to fractal sets, 2002,
\newblock Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003;
\newblock arXiv:math/0202001.

\bibitem{math/0112109}
Laurent Bartholdi.
\newblock The 2-dimension series of the just-nonsolvable BSV group, 2001,
\newblock New Zealand J. Math. 33 (2004), no. 1, 17--23;
\newblock arXiv:math/0112109.

\bibitem{math/0112108}
Laurent Bartholdi.
\newblock Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs, 2001,
\newblock Random walks and geometry, 349--361, Walter de Gruyter GmbH & Co. KG, Berlin, 2004;
\newblock arXiv:math/0112108.

\bibitem{math/0109069}
Laurent Bartholdi and Tullio G. Ceccherini-Silberstein.
\newblock Growth Series and Random Walks on Some Hyperbolic Graphs, 2001,
\newblock Monatsh. Math. 136 (2002), no. 3, 181--202;
\newblock arXiv:math/0109069.
\newblock DOI:10.1007/s006050200043.

\bibitem{math/0101222}
Laurent Bartholdi.
\newblock Lie Algebras and Growth in Branch Groups, 2001,
\newblock Pacific J. Math. 218 (2005), no. 2, 241--282;
\newblock arXiv:math/0101222.
\newblock DOI:10.2140/pjm.2005.218.241.

\bibitem{math/0012175}
Laurent Bartholdi and Rostislav I. Grigorchuk.
\newblock Sous-groupes paraboliques et representations de groupes branches, 2000,
\newblock C. R. Acad. Sci. Paris, Ser. Math. 332 (2001), no. 9, 789-794;
\newblock arXiv:math/0012175.
\newblock DOI:10.1016/S0764-4442(01)01946-2.

\bibitem{math/0012174}
Laurent Bartholdi and Rostislav I. Grigorchuk.
\newblock Spectra of non-commutative dynamical systems and graphs related to fractal groups, 2000,
\newblock C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434;
\newblock arXiv:math/0012174.
\newblock DOI:10.1016/S0764-4442(00)01658-X.

\bibitem{math/0012161}
Laurent Bartholdi.
\newblock Counting Paths in Graphs, 2000,
\newblock Enseign. Math. 45 (1999) 83-131;
\newblock arXiv:math/0012161.

\bibitem{math/0012108}
Laurent Bartholdi.
\newblock The Growth of Grigorchuk's Group, 2000,
\newblock Internat. Math. Res. Notices 20 (1998) 1049--1054;
\newblock arXiv:math/0012108.
\newblock DOI:10.1155/S1073792898000622.

\bibitem{math/0007062}
Laurent Bartholdi.
\newblock L-presentations and branch groups, 2000,
\newblock J. Algebra 268 (2003), no. 2, 419--443;
\newblock arXiv:math/0007062.
\newblock DOI:10.1016/S0021-8693(03)00268-0.

\bibitem{math/0005113}
Laurent Bartholdi and Zoran Sunik.
\newblock On the Word and Period Growth of some Groups of Tree Automorphisms, 2000,
\newblock Comm. Algebra 29 (2001), no. 11, 4923--4964;
\newblock arXiv:math/0005113.
\newblock DOI:10.1081/AGB-100106794.

\bibitem{math/0002010}
Laurent Bartholdi and Rostislav I. Grigorchuk.
\newblock Lie Methods in Growth of Groups and Groups of Finite Width, 2000,
\newblock Computational and geometric aspects of modern algebra (Edinburgh, 1998), 1--27, London Math. Soc. Lecture Note Ser., 275, Cambridge Univ. Press, Cambridge, 2000;
\newblock arXiv:math/0002010.

\bibitem{math/9911206}
Laurent Bartholdi and Rostislav I. Grigorchuk.
\newblock On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups, 1999,
\newblock Serdica Math. J. 28 (2002), no. 1, 47--90;
\newblock arXiv:math/9911206.

\bibitem{math/9910102}
Laurent Bartholdi and Rostislav I. Grigorchuk.
\newblock On the Spectrum of Hecke Type Operators related to some Fractal Groups, 1999,
\newblock Tr. Mat. Inst. Steklova 231 (2000), Din. Sist., Avtom. i Beskon. Gruppy, 5--45; translation in Proc. Steklov Inst. Math. 2000, no. 4 (231), 1--41;
\newblock arXiv:math/9910102.

\bibitem{math/9910068}
Laurent Bartholdi.
\newblock Lower Bounds on the Growth of Grigorchuk's Torsion Group, 1999,
\newblock Internat. Math. Res. Notices 1998, no. 20, 1049--1054;
\newblock arXiv:math/9910068.
\newblock DOI:10.1155/S1073792898000622.

\bibitem{math/9910067}
Laurent Bartholdi and Tullio G. Ceccherini-Silberstein.
\newblock Growth series of some hyperbolic graphs and Salem numbers, 1999,
\newblock Geom. Dedicata 90 (2002), 107--114;
\newblock arXiv:math/9910067.
\newblock DOI:10.1023/A:1014902918849.

\bibitem{math/9910056}
Laurent Bartholdi.
\newblock Lamps, Factorizations and Finite Fields, 1999,
\newblock Amer. Math. Monthly 107 (2000), no. 5, 429--436;
\newblock arXiv:math/9910056.
\newblock DOI:10.2307/2695298.

\end{thebibliography}

Courant Research Centre ,Higher Order Structures in Mathematics‘
Mathematisches Institut, Georg-August-Universität Göttingen
Data provided by the arXiv API · Site made by Sven-S. Porst
Leave a Comment