Laurent Bartholdi's articles

These are my articles, as extracted from arXiv, with small formatting modifications. The original arXiv feed is http://arxiv.org/a/bartholdi_l_1, and http://arxiv.org/a/bartholdi_l_1.atom in Atom format.

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Self-similar Lie algebras

arXiv:1003.1125 [pdf, ps, other]

Representation zeta functions of wreath products with finite groups, with Pierre de la Harpe

Groups Geom. Dyn. 4 (2010), 209--249. arXiv:0809.0131 [pdf, ps, other]

Hodge Theory on Metric Spaces, with Thomas Schick (1), Nat Smale (2), Steve Smale (3), Anthony W. Baker (4) ((1) Georg-August-Universität Göttingen, (2) University of Utah, (3) City University of Hong Kong, (4) The Boing Company)

arXiv:0912.0284 [pdf, ps, other]

The Twisted Twin of the Grigorchuk Group, with Olivier Siegenthaler

Internat. J. Alg. Comput. 24 no. 4 (2010) 465--488. arXiv:0904.1600 [pdf, ps, other]

On abstract commensurators of groups, with Oleg Bogopolski

arXiv:0902.4542 [pdf, ps, other]

The congruence subgroup problem for branch groups, with Olivier Siegenthaler, Pavel Zalesskii

arXiv:0902.3220 [pdf, ps, other]

Counting Paths in Graphs

Enseign. Math. 45 (1999) 83-131. arXiv:math/0012161 [pdf, ps, other]

On amenability of group algebras, II: graded algebras

arXiv:math/0611709 [pdf, other]

On amenability of automata groups, with Vadim A. Kaimanovich, Volodymyr V. Nekrashevych

arXiv:0802.2837 [pdf, ps, other]

Iterated Monodromy Groups of Quadratic Polynomials, I, with Volodymyr V. Nekrashevych

Groups Geom. Dyn. 2 (2008), no. 3, 309--336. arXiv:math/0611177 [pdf, ps, other]

On growth and torsion of groups, with Floriane Pochon

Groups Geom. Dyn. 3 (2009), no. 4, 525--539. arXiv:0712.4005 [pdf, ps, other]

A converse to Moore's theorem on cellular automata

J. Eur. Math. Soc. 12 (2010), 241-248. arXiv:0709.4280 [pdf, ps, other]

A nilpotent quotient algorithm for L-presented groups, with Bettina Eick, René Hartung

Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344. arXiv:0706.3131 [pdf, ps, other]

Estimates for simple random walks on fundamental groups of surfaces, with Serge Cantat, Tullio Ceccherini-Silberstein, Pierre de la Harpe

Colloq. Math. 72 (1997), no. 1, 173--193. arXiv:math/0612409 [pdf, ps, other]

On Amenability of Group Algebras, I

Israel J. Math. 168 (2008), 153--165. arXiv:math/0608302 [pdf, ps, other]

Some solvable automaton groups, with Zoran Šunik

Contemp. Math. 394 (2006), pages 11--30. arXiv:math/0603032 [pdf, ps, other]

Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3), with M. R. Bush

J. Number Theory 124 (2007), no. 1, 159--166. arXiv:math/0602364 [pdf, ps, other]

Horocyclic products of trees, with Markus Neuhauser, Wolfgang Woess

J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 771--816. arXiv:math/0601417 [pdf, ps, other]

Branch Groups, with Rostislav I. Grigorchuk, Zoran Sunik

Handbook of algebra, Vol. 3, 989--1112, North-Holland, Amsterdam, 2003. arXiv:math/0510294 [pdf, ps, other]

Infinite groups with large balls of torsion elements and small entropy, with Yves de Cornulier

Archiv der Mathematik 87(2), 104-112, 2006. arXiv:math/0510141 [pdf, ps, other]

Thurston equivalence of topological polynomials, with Volodymyr Nekrashevych

Acta Math. 197 (2006), no. 1, 1--51. arXiv:math/0510082 [pdf, ps, other]

Groups and Lie algebras corresponding to the Yang-Baxter equations, with Benjamin Enriquez, Pavel Etingof, Eric Rains

J. Algebra 305 (2006), no. 2, 742--764. arXiv:math/0509661 [pdf, ps, other]

A Mealy machine with polynomial growth of irrational degree, with Illya I. Reznykov

Internat. J. Algebra Comput. 18 (2008), no. 1, 59--82. arXiv:math/0506203 [pdf, ps, other]

Theorie des groupes et psychologie de l'intelligence, with Fabrice Liardet

arXiv:math/0505651 [pdf, ps, other]

Automata, Groups, Limit Spaces, and Tilings, with Andre G. Henriques, Volodymyr V. Nekrashevych

J. Algebra 305 (2006), no. 2, 629--663. arXiv:math/0412373 [pdf, ps, other]

Branch Rings, Thinned Rings, Tree Enveloping Rings

Israel J. Math. 154 (2006), 93--139. arXiv:math/0410226 [pdf, ps, other]

The smallest Mealy automaton of intermediate growth, with Illya I. Reznykov, Vitaly I. Sushchansky

J. Algebra 295 (2006), no. 2, 387--414. arXiv:math/0407312 [pdf, ps, other]

Spectral computations on lamplighter groups and Diestel-Leader graphs, with Wolfgang Woess

J. Fourier Anal. Appl. 11 (2005), no. 2, 175--202. arXiv:math/0405182 [pdf, ps, other]

The Automorphism Tower of Groups acting on Rooted Trees, with Said N. Sidki

Trans. Amer. Math. Soc. 358 (2006), no. 1, 329--358. arXiv:math/0308127 [pdf, ps, other]

Amenability via random walks, with Balint Virag

Duke Math. J. 130 (2005), no. 1, 39--56. arXiv:math/0305262 [pdf, ps, other]

A Wilson Group of Non-Uniformly Exponential Growth

C. R. Math. Acad. Sci. Paris 336 (2003), no. 7, 549--554. arXiv:math/0210471 [pdf, ps, other]

Amenability of groups acting on trees

arXiv:math/0204076 [pdf, ps, other]

On a group associated to $z^2-1$, with Rostislav I. Grigorchuk

arXiv:math/0203244 [pdf, ps, other]

From fractal groups to fractal sets, with Rostislav I. Grigorchuk, Volodymyr V. Nekrashevych

Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003. arXiv:math/0202001 [pdf, ps, other]

Groups of intermediate growth

arXiv:math/0201293 [pdf, ps, other]

The 2-dimension series of the just-nonsolvable BSV group

New Zealand J. Math. 33 (2004), no. 1, 17--23. arXiv:math/0112109 [pdf, ps, other]

Cactus Trees, and Estimations of the Spectral Radius of Vertex-Transitive Graphs

Random walks and geometry, 349--361, Walter de Gruyter GmbH & Co. KG, Berlin, 2004. arXiv:math/0112108 [pdf, ps, other]

Growth Series and Random Walks on Some Hyperbolic Graphs, with Tullio G. Ceccherini-Silberstein

Monatsh. Math. 136 (2002), no. 3, 181--202. arXiv:math/0109069 [pdf, ps, other]

Lie Algebras and Growth in Branch Groups

Pacific J. Math. 218 (2005), no. 2, 241--282. arXiv:math/0101222 [pdf, ps, other]

Sous-groupes paraboliques et representations de groupes branches, with Rostislav I. Grigorchuk

C. R. Acad. Sci. Paris, Ser. Math. 332 (2001), no. 9, 789-794. arXiv:math/0012175 [pdf, ps, other]

Spectra of non-commutative dynamical systems and graphs related to fractal groups, with Rostislav I. Grigorchuk

C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434. arXiv:math/0012174 [pdf, ps, other]

The Growth of Grigorchuk's Group

Internat. Math. Res. Notices 20 (1998) 1049--1054. arXiv:math/0012108 [pdf, ps, other]

L-presentations and branch groups

J. Algebra 268 (2003), no. 2, 419--443. arXiv:math/0007062 [pdf, ps, other]

On the Word and Period Growth of some Groups of Tree Automorphisms, with Zoran Sunik

Comm. Algebra 29 (2001), no. 11, 4923--4964. arXiv:math/0005113 [pdf, ps, other]

Lie Methods in Growth of Groups and Groups of Finite Width, with Rostislav I. Grigorchuk

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 [pdf, ps, other]

On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups, with Rostislav I. Grigorchuk

Serdica Math. J. 28 (2002), no. 1, 47--90. arXiv:math/9911206 [pdf, ps, other]

On the Spectrum of Hecke Type Operators related to some Fractal Groups, with Rostislav I. Grigorchuk

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 [pdf, ps, other]

Lower Bounds on the Growth of Grigorchuk's Torsion Group

Internat. Math. Res. Notices 1998, no. 20, 1049--1054. arXiv:math/9910068 [pdf, ps, other]

Growth series of some hyperbolic graphs and Salem numbers, with Tullio G. Ceccherini-Silberstein

Geom. Dedicata 90 (2002), 107--114. arXiv:math/9910067 [pdf, ps, other]

Lamps, Factorizations and Finite Fields

Amer. Math. Monthly 107 (2000), no. 5, 429--436. arXiv:math/9910056 [pdf, ps, other]

Croissance des groupes agissant sur des arbres

PhD thesis, 2000. [ps, pdf]

Mots croisés hexagonaux

Quadrature 53 (2004), page 6 and 54 (2004) page 5. [ps, pdf]

Mots croisés mélanophobes

Gazette des Mathématiciens 70 (1996), 45--47. [ps, pdf]