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## Bartholdi, Laurent

Compute Distance To:
 Author ID: bartholdi.laurent Published as: Bartholdi, Laurent; Bartholdi, L.
 Documents Indexed: 86 Publications since 1997, including 2 Books Reviewing Activity: 25 Reviews
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#### Co-Authors

 28 single-authored 7 Grigorchuk, Rostislav Ivanovich 6 Erschler, Anna 5 Ceccherini-Silberstein, Tullio G. 5 Nekrashevych, Volodymyr V. 4 Dudko, Dzmitry 3 Šuniḱ, Zoran 2 de Cornulier, Yves 2 de la Harpe, Pierre 2 Godin, Thibault 2 Henriques, André G. 2 Klimann, Ines 2 Picantin, Matthieu 2 Reznykov, Illya I. 2 Schick, Thomas 2 Siegenthaler, Olivier 2 Smirnova-Nagnibeda, Tatiana 2 Smoktunowicz, Agata 2 Woess, Wolfgang 2 Żuk, Andrzej 1 Arzhantseva, Goulnara N. 1 Buff, Xavier 1 Burillo, José 1 Bush, Michael R. 1 Cantat, Serge 1 Eick, Bettina 1 Enriquez, Benjamin 1 Etingof, Pavel Il’ich 1 Graf von Bothmer, Hans-Christian 1 Härer, Henrika 1 Hartung, René 1 Kaimanovich, Vadim A. 1 Kochloukova, Dessislava Hristova 1 Kröker, Jakob 1 Mitrofanov, Ivan V. 1 Neuhauser, Markus 1 Noûs, Camille 1 Passi, Inder Bir Singh 1 Pochon, Floriane 1 Rains, Eric M. 1 Rhoads, Glenn C. 1 Sallard, Pierre-Alain 1 Smale, Nathan 1 Smale, Steve 1 Sushchans’kyĭ, Vitaliĭ Ivanovych 1 Ventura Capell, Enric 1 Virág, Bálint 1 Zalesskii, Pavel
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#### Serials

 9 Groups, Geometry, and Dynamics 6 International Journal of Algebra and Computation 5 Israel Journal of Mathematics 4 Journal of Algebra 4 The New York Journal of Mathematics 4 Journal of the European Mathematical Society (JEMS) 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Transactions of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Bulletin of the American Mathematical Society. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 The Quarterly Journal of Mathematics 1 American Mathematical Monthly 1 Communications in Algebra 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Geometriae Dedicata 1 Journal of Number Theory 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Probability Theory and Related Fields 1 International Journal of Foundations of Computer Science 1 IMRN. International Mathematics Research Notices 1 New Zealand Journal of Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Serdica Mathematical Journal 1 Quadrature 1 The Journal of Fourier Analysis and Applications 1 Journal of Group Theory 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Progress in Mathematics 1 Games 1 Trends in Mathematics
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#### Fields

 65 Group theory and generalizations (20-XX) 16 Combinatorics (05-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Computer science (68-XX) 12 Associative rings and algebras (16-XX) 10 Nonassociative rings and algebras (17-XX) 9 Abstract harmonic analysis (43-XX) 8 Probability theory and stochastic processes (60-XX) 7 Manifolds and cell complexes (57-XX) 6 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

75 Publications have been cited 843 times in 515 Documents Cited by Year
Branch groups. Zbl 1140.20306
Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran
2003
From fractal groups to fractal sets. Zbl 1037.20040
Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr
2003
Counting paths in graphs. Zbl 0961.05032
Bartholdi, Laurent
1999
On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305
Bartholdi, L.; Grigorchuk, R. I.
2000
Amenability via random walks. Zbl 1104.43002
Bartholdi, Laurent; Virág, Bálint
2005
Thurston equivalence of topological polynomials. Zbl 1176.37020
Bartholdi, Laurent; Nekrashevych, Volodymyr
2006
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
2002
On amenability of automata groups. Zbl 1268.20026
Bartholdi, Laurent; Kaimanovich, Vadim A.; Nekrashevych, Volodymyr V.
2010
Spectral computations on lamplighter groups and Diestel-Leader graphs. Zbl 1082.05058
Bartholdi, Laurent; Woess, Wolfgang
2005
Branch rings, thinned rings, tree enveloping rings. Zbl 1173.16303
Bartholdi, Laurent
2006
Endomorphic presentations of branch groups. Zbl 1044.20015
Bartholdi, Laurent
2003
Horocyclic products of trees. Zbl 1155.05009
Bartholdi, Laurent; Neuhauser, Markus; Woess, Wolfgang
2008
The growth of Grigorchuk’s torsion group. Zbl 0942.20027
Bartholdi, Laurent
1998
Lie methods in growth of groups and groups of finite width. Zbl 1032.20026
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2000
On the word and period growth of some groups of tree automorphisms. Zbl 1001.20027
Bartholdi, Laurent; Šuniḱ, Zoran
2001
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
2006
Growth of permutational extensions. Zbl 1286.20025
Bartholdi, Laurent; Erschler, Anna
2012
A Wilson group of non-uniformly exponential growth. Zbl 1050.20018
Bartholdi, Laurent
2003
Some solvable automaton groups. Zbl 1106.20021
Bartholdi, Laurent; Šuniḱ, Zoran
2006
On amenability of group algebras. I. Zbl 1167.43001
Bartholdi, Laurent
2008
Groups of given intermediate word growth. (Groupes de croissance intermédiaire donnée.) Zbl 1317.20043
Bartholdi, Laurent; Erschler, Anna
2014
The smallest Mealy automaton of intermediate growth. Zbl 1095.20045
Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I.
2006
Gardens of Eden and amenability on cellular automata. Zbl 1185.37020
Bartholdi, Laurent
2010
Iterated monodromy groups of quadratic polynomials. I. Zbl 1153.37379
Bartholdi, Laurent; Nekrashevych, Volodymyr V.
2008
Lower bounds on the growth of a group acting on the binary rooted tree. Zbl 1028.20025
Bartholdi, Laurent
2001
Images of Golod-Shafarevich algebras with small growth. Zbl 1312.16017
Smoktunowicz, Agata; Bartholdi, Laurent
2014
Self-similar Lie algebras. Zbl 1350.17005
Bartholdi, Laurent
2015
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
2012
Lie algebras and growth in branch groups. Zbl 1120.20037
Bartholdi, Laurent
2005
Algorithmic aspects of branched coverings. Zbl 1422.57004
Bartholdi, Laurent; Dudko, Dzmitry
2017
Poisson-Furstenberg boundary and growth of groups. Zbl 1417.60004
Bartholdi, Laurent; Erschler, Anna
2017
The congruence subgroup problem for branch groups. Zbl 1271.20031
Bartholdi, Laurent; Siegenthaler, Olivier; Zalesskii, Pavel
2012
Amenability of groups is characterized by Myhill’s theorem. Zbl 1458.37017
Bartholdi, Laurent
2019
Imbeddings into groups of intermediate growth. Zbl 1335.20046
Bartholdi, Laurent; Erschler, Anna
2014
Algorithmic decidability of Engel’s property for automaton groups. Zbl 06605917
Bartholdi, Laurent
2016
On growth and torsion of groups. Zbl 1230.20044
Bartholdi, Laurent; Pochon, Floriane
2009
The twisted twin of the Grigorchuk group. Zbl 1273.20022
Bartholdi, Laurent; Siegenthaler, Olivier
2010
Infinite groups with large balls of torsion elements and small entropy. Zbl 1136.20035
Bartholdi, Laurent; de Cornulier, Yves
2006
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
2010
Automorphisms of free groups. I. Zbl 1288.20039
Bartholdi, Laurent
2013
The rational homology of the outer automorphism group of $$F_7$$. Zbl 1347.20056
Bartholdi, Laurent
2016
Maximal unramified 3-extensions of imaginary quadratic fields and $$\text{SL}_2(\mathbb Z_3)$$. Zbl 1166.11041
Bartholdi, Laurent; Bush, Michael R.
2007
Parabolic subgroups and representations of branch groups. (Sous-groupes paraboliques et représentations de groupes branchés.) Zbl 1011.20027
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2001
Representation zeta functions of wreath products with finite groups. Zbl 1261.20004
Bartholdi, Laurent; de la Harpe, Pierre
2010
A nilpotent quotient algorithm for certain infinitely presented groups and its applications. Zbl 1173.20023
Bartholdi, Laurent; Eick, Bettina; Hartung, René
2008
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2000
Lamps, factorizations, and finite fields. Zbl 0982.11068
Bartholdi, Laurent
2000
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2. Zbl 1283.16020
Smoktunowicz, Agata; Bartholdi, Laurent
2013
Erratum to: “Automorphisms of free groups. I”. Zbl 1351.20017
Bartholdi, Laurent
2016
Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets. Zbl 1423.57003
Bartholdi, Laurent; Dudko, Dzmitry
2018
Algorithmic aspects of branched coverings IV/V. Expanding maps. Zbl 1397.37028
Bartholdi, Laurent; Dudko, Dzmitry
2018
Growth series and random walks on some hyperbolic graphs. Zbl 1059.20035
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs. Zbl 1103.60048
Bartholdi, Laurent
2004
A Mealy machine with polynomial growth of irrational degree. Zbl 1185.68430
Bartholdi, Laurent; Reznykov, Illya I.
2008
Estimates for simple random walks of fundamental groups of surfaces. Zbl 0872.60051
Bartholdi, Laurent; Cantat, Serge; Ceccherini-Silberstein, Tullio; De la Harpe, Pierre
1997
The automorphism tower of groups acting on rooted trees. Zbl 1138.20039
Bartholdi, Laurent; Sidki, Said N.
2006
Automata, groups, limit spaces, and tilings. Zbl 1166.20303
Bartholdi, Laurent; Henriques, André G.; Nekrashevych, Volodymyr V.
2006
Salem numbers and growth series of some hyperbolic graphs. Zbl 1032.20028
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
Branch rings, thinned rings, tree enveloping rings – erratum. Zbl 1270.16023
Bartholdi, Laurent
2013
Homological finiteness properties of wreath products. Zbl 1371.20049
Bartholdi, Laurent; de Cornulier, Yves; Kochloukova, Dessislava H.
2015
The word and order problems for self-similar and automata groups. Zbl 07227243
Bartholdi, Laurent; Mitrofanov, Ivan
2020
Ordering the space of finitely generated groups. (Comment ordonner l’espace des groupes de type fini.) Zbl 1372.20030
Bartholdi, Laurent; Erschler, Anna
2015
Growth of groups and wreath products. Zbl 1373.20054
Bartholdi, Laurent
2017
Algorithmic construction of Hurwitz maps. Zbl 1315.30002
Bartholdi, Laurent; Buff, Xavier; Graf von Bothmer, Hans-Christian; Kröker, Jakob
2015
Computer solution to the game of pure strategy. Zbl 1311.91003
2012
Cellular automata, duality and sofic groups. Zbl 1391.68082
Bartholdi, Laurent
2017
Self-similar products of groups. Zbl 07200336
Bartholdi, Laurent; Sidki, Said N.
2020
A new hierarchy for automaton semigroups. Zbl 1458.68084
Bartholdi, Laurent; Godin, Thibault; Klimann, Ines; Picantin, Matthieu
2018
Amenability of groups and $$G$$-sets. Zbl 07006275
Bartholdi, Laurent
2018
Infinite groups: geometric, combinatorial and dynamical aspects. Based on the international conference on group theory: geometric, combinatorial and dynamical aspects of infinite groups, Gaeta, Italy, June 1–6, 2003. Zbl 1083.20500
Bartholdi, Laurent (ed.); Ceccherini-Silberstein, Tullio (ed.); Smirnova-Nagnibeda, Tatiana (ed.); Zuk, Andrzej (ed.)
2005
Lie dimension subrings. Zbl 1387.17009
Bartholdi, Laurent; Passi, Inder Bir S.
2015
Distortion of imbeddings of groups of intermediate growth into metric spaces. Zbl 1431.20027
Bartholdi, Laurent; Erschler, Anna
2017
Representation zeta functions of self-similar branched groups. Zbl 1434.20005
Bartholdi, Laurent
2017
(Self-)similar groups and the Farrell-Jones conjectures. Zbl 1293.20026
Bartholdi, Laurent
2013
Right angled Artin groups and partial commutation, old and new. Zbl 07358375
Bartholdi, Laurent; Härer, Henrika; Schick, Thomas
2020
The word and order problems for self-similar and automata groups. Zbl 07227243
Bartholdi, Laurent; Mitrofanov, Ivan
2020
Self-similar products of groups. Zbl 07200336
Bartholdi, Laurent; Sidki, Said N.
2020
Right angled Artin groups and partial commutation, old and new. Zbl 07358375
Bartholdi, Laurent; Härer, Henrika; Schick, Thomas
2020
Amenability of groups is characterized by Myhill’s theorem. Zbl 1458.37017
Bartholdi, Laurent
2019
Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets. Zbl 1423.57003
Bartholdi, Laurent; Dudko, Dzmitry
2018
Algorithmic aspects of branched coverings IV/V. Expanding maps. Zbl 1397.37028
Bartholdi, Laurent; Dudko, Dzmitry
2018
A new hierarchy for automaton semigroups. Zbl 1458.68084
Bartholdi, Laurent; Godin, Thibault; Klimann, Ines; Picantin, Matthieu
2018
Amenability of groups and $$G$$-sets. Zbl 07006275
Bartholdi, Laurent
2018
Algorithmic aspects of branched coverings. Zbl 1422.57004
Bartholdi, Laurent; Dudko, Dzmitry
2017
Poisson-Furstenberg boundary and growth of groups. Zbl 1417.60004
Bartholdi, Laurent; Erschler, Anna
2017
Growth of groups and wreath products. Zbl 1373.20054
Bartholdi, Laurent
2017
Cellular automata, duality and sofic groups. Zbl 1391.68082
Bartholdi, Laurent
2017
Distortion of imbeddings of groups of intermediate growth into metric spaces. Zbl 1431.20027
Bartholdi, Laurent; Erschler, Anna
2017
Representation zeta functions of self-similar branched groups. Zbl 1434.20005
Bartholdi, Laurent
2017
Algorithmic decidability of Engel’s property for automaton groups. Zbl 06605917
Bartholdi, Laurent
2016
The rational homology of the outer automorphism group of $$F_7$$. Zbl 1347.20056
Bartholdi, Laurent
2016
Erratum to: “Automorphisms of free groups. I”. Zbl 1351.20017
Bartholdi, Laurent
2016
Self-similar Lie algebras. Zbl 1350.17005
Bartholdi, Laurent
2015
Homological finiteness properties of wreath products. Zbl 1371.20049
Bartholdi, Laurent; de Cornulier, Yves; Kochloukova, Dessislava H.
2015
Ordering the space of finitely generated groups. (Comment ordonner l’espace des groupes de type fini.) Zbl 1372.20030
Bartholdi, Laurent; Erschler, Anna
2015
Algorithmic construction of Hurwitz maps. Zbl 1315.30002
Bartholdi, Laurent; Buff, Xavier; Graf von Bothmer, Hans-Christian; Kröker, Jakob
2015
Lie dimension subrings. Zbl 1387.17009
Bartholdi, Laurent; Passi, Inder Bir S.
2015
Groups of given intermediate word growth. (Groupes de croissance intermédiaire donnée.) Zbl 1317.20043
Bartholdi, Laurent; Erschler, Anna
2014
Images of Golod-Shafarevich algebras with small growth. Zbl 1312.16017
Smoktunowicz, Agata; Bartholdi, Laurent
2014
Imbeddings into groups of intermediate growth. Zbl 1335.20046
Bartholdi, Laurent; Erschler, Anna
2014
Automorphisms of free groups. I. Zbl 1288.20039
Bartholdi, Laurent
2013
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2. Zbl 1283.16020
Smoktunowicz, Agata; Bartholdi, Laurent
2013
Branch rings, thinned rings, tree enveloping rings – erratum. Zbl 1270.16023
Bartholdi, Laurent
2013
(Self-)similar groups and the Farrell-Jones conjectures. Zbl 1293.20026
Bartholdi, Laurent
2013
Growth of permutational extensions. Zbl 1286.20025
Bartholdi, Laurent; Erschler, Anna
2012
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
2012
The congruence subgroup problem for branch groups. Zbl 1271.20031
Bartholdi, Laurent; Siegenthaler, Olivier; Zalesskii, Pavel
2012
Computer solution to the game of pure strategy. Zbl 1311.91003
2012
On amenability of automata groups. Zbl 1268.20026
Bartholdi, Laurent; Kaimanovich, Vadim A.; Nekrashevych, Volodymyr V.
2010
Gardens of Eden and amenability on cellular automata. Zbl 1185.37020
Bartholdi, Laurent
2010
The twisted twin of the Grigorchuk group. Zbl 1273.20022
Bartholdi, Laurent; Siegenthaler, Olivier
2010
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
2010
Representation zeta functions of wreath products with finite groups. Zbl 1261.20004
Bartholdi, Laurent; de la Harpe, Pierre
2010
On growth and torsion of groups. Zbl 1230.20044
Bartholdi, Laurent; Pochon, Floriane
2009
Horocyclic products of trees. Zbl 1155.05009
Bartholdi, Laurent; Neuhauser, Markus; Woess, Wolfgang
2008
On amenability of group algebras. I. Zbl 1167.43001
Bartholdi, Laurent
2008
Iterated monodromy groups of quadratic polynomials. I. Zbl 1153.37379
Bartholdi, Laurent; Nekrashevych, Volodymyr V.
2008
A nilpotent quotient algorithm for certain infinitely presented groups and its applications. Zbl 1173.20023
Bartholdi, Laurent; Eick, Bettina; Hartung, René
2008
A Mealy machine with polynomial growth of irrational degree. Zbl 1185.68430
Bartholdi, Laurent; Reznykov, Illya I.
2008
Maximal unramified 3-extensions of imaginary quadratic fields and $$\text{SL}_2(\mathbb Z_3)$$. Zbl 1166.11041
Bartholdi, Laurent; Bush, Michael R.
2007
Thurston equivalence of topological polynomials. Zbl 1176.37020
Bartholdi, Laurent; Nekrashevych, Volodymyr
2006
Branch rings, thinned rings, tree enveloping rings. Zbl 1173.16303
Bartholdi, Laurent
2006
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
2006
Some solvable automaton groups. Zbl 1106.20021
Bartholdi, Laurent; Šuniḱ, Zoran
2006
The smallest Mealy automaton of intermediate growth. Zbl 1095.20045
Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I.
2006
Infinite groups with large balls of torsion elements and small entropy. Zbl 1136.20035
Bartholdi, Laurent; de Cornulier, Yves
2006
The automorphism tower of groups acting on rooted trees. Zbl 1138.20039
Bartholdi, Laurent; Sidki, Said N.
2006
Automata, groups, limit spaces, and tilings. Zbl 1166.20303
Bartholdi, Laurent; Henriques, André G.; Nekrashevych, Volodymyr V.
2006
Amenability via random walks. Zbl 1104.43002
Bartholdi, Laurent; Virág, Bálint
2005
Spectral computations on lamplighter groups and Diestel-Leader graphs. Zbl 1082.05058
Bartholdi, Laurent; Woess, Wolfgang
2005
Lie algebras and growth in branch groups. Zbl 1120.20037
Bartholdi, Laurent
2005
Infinite groups: geometric, combinatorial and dynamical aspects. Based on the international conference on group theory: geometric, combinatorial and dynamical aspects of infinite groups, Gaeta, Italy, June 1–6, 2003. Zbl 1083.20500
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio; Smirnova-Nagnibeda, Tatiana; Zuk, Andrzej
2005
Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs. Zbl 1103.60048
Bartholdi, Laurent
2004
Branch groups. Zbl 1140.20306
Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran
2003
From fractal groups to fractal sets. Zbl 1037.20040
Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr
2003
Endomorphic presentations of branch groups. Zbl 1044.20015
Bartholdi, Laurent
2003
A Wilson group of non-uniformly exponential growth. Zbl 1050.20018
Bartholdi, Laurent
2003
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
2002
Growth series and random walks on some hyperbolic graphs. Zbl 1059.20035
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
Salem numbers and growth series of some hyperbolic graphs. Zbl 1032.20028
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
On the word and period growth of some groups of tree automorphisms. Zbl 1001.20027
Bartholdi, Laurent; Šuniḱ, Zoran
2001
Lower bounds on the growth of a group acting on the binary rooted tree. Zbl 1028.20025
Bartholdi, Laurent
2001
Parabolic subgroups and representations of branch groups. (Sous-groupes paraboliques et représentations de groupes branchés.) Zbl 1011.20027
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2001
On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305
Bartholdi, L.; Grigorchuk, R. I.
2000
Lie methods in growth of groups and groups of finite width. Zbl 1032.20026
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2000
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2000
Lamps, factorizations, and finite fields. Zbl 0982.11068
Bartholdi, Laurent
2000
Counting paths in graphs. Zbl 0961.05032
Bartholdi, Laurent
1999
The growth of Grigorchuk’s torsion group. Zbl 0942.20027
Bartholdi, Laurent
1998
Estimates for simple random walks of fundamental groups of surfaces. Zbl 0872.60051
Bartholdi, Laurent; Cantat, Serge; Ceccherini-Silberstein, Tullio; De la Harpe, Pierre
1997
all top 5

#### Cited by 541 Authors

 31 Bartholdi, Laurent 25 Grigorchuk, Rostislav Ivanovich 21 Nekrashevych, Volodymyr V. 17 Sato, Iwao 12 Erschler, Anna 11 D’angeli, Daniele 11 Šunić, Zoran 9 Bondarenko, Ievgen V. 9 Ceccherini-Silberstein, Tullio G. 9 Donno, Alfredo 9 Mizuno, Hirobumi 8 Smoktunowicz, Agata 7 Brieussel, Jérémie 7 Nagnibeda, Tatiana 7 Petrogradsky, Victor Mikhaylovich 7 Pilgrim, Kevin M. 7 Skipper, Rachel 7 Sushchans’kyĭ, Vitaliĭ Ivanovych 7 Woess, Wolfgang 7 Woryna, Adam 6 de la Harpe, Pierre 6 Savchuk, Dmytro M. 6 Zel’manov, Efim Isaakovich 5 Benli, Mustafa Gökhan 5 Fernández-Alcober, Gustavo A. 5 Garrido, Alejandra 5 Greenfeld, Be’eri 5 Klimann, Ines 5 Myasnikov, Alexei G. 5 Rodaro, Emanuele 5 Shestakov, Ivan Pavlovich 4 Alahmadi, Adel N. 4 Alsulami, Hamed Hamdan 4 Coornaert, Michel 4 Dudko, Artem 4 Floyd, William J. 4 Koch, Sarah Colleen 4 Lee, Jaeun 4 Matte Bon, Nicolás 4 Morita, Hideaki 4 Noce, Marialaura 4 Parry, Walter R. 4 Picantin, Matthieu 4 Scarabotti, Fabio 4 Siegenthaler, Olivier 4 Taback, Jennifer 4 Tolli, Filippo 4 Virág, Bálint 3 Ara, Pere 3 Bell, Jason P. 3 Bou-Rabee, Khalid 3 Breuillard, Emmanuel 3 Cain, Alan J. 3 Donoven, Casey 3 Dudko, Dzmitry 3 Francoeur, Dominik 3 Gournay, Antoine 3 Hartung, René 3 Jain, Surender Kumar 3 Juschenko, Kate 3 Kassabov, Martin 3 Kelsey, Gregory A. 3 Klopsch, Benjamin 3 Kochloukova, Dessislava Hristova 3 Kravchenko, Rostyslav V. 3 Le Boudec, Adrien 3 Lledó, Fernando 3 Lukina, Olga 3 Pak, Igor 3 Thomas Putman, Andrew 3 Satoh, Takao 3 Schupp, Paul E. 3 Silva, Pedro V. 3 Vorobets, Yaroslav 3 Zheng, Tianyi 3 Zugadi-Reizabal, Amaia 2 Abért, Miklós 2 Arzhantseva, Goulnara N. 2 Bardakov, Valeriĭ Georgievich 2 Bekka, Mohammed el Bachir 2 Bellingeri, Paolo 2 Bendikov, Alexander D. 2 Boston, Nigel 2 Bowen, Lewis Phylip 2 Brough, Tara 2 Bush, Michael R. 2 Chen, Haiyan 2 da Silva, Eduardo Brandani 2 Day, Matthew B. 2 de Cornulier, Yves 2 de la Salle, Mikael 2 Elder, Murray J. 2 Farina, John 2 Fink, Elisabeth 2 Firer, Marcelo 2 Gassert, Thomas Alden 2 Godin, Thibault 2 Gouëzel, Sébastien 2 Guido, Daniele 2 Hurder, Steven E. ...and 441 more Authors
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#### Cited in 145 Serials

 43 Journal of Algebra 30 International Journal of Algebra and Computation 21 Groups, Geometry, and Dynamics 20 Transactions of the American Mathematical Society 15 Geometriae Dedicata 14 Linear Algebra and its Applications 13 Israel Journal of Mathematics 12 Annales de l’Institut Fourier 11 Proceedings of the American Mathematical Society 10 Communications in Algebra 10 European Journal of Combinatorics 9 Discrete Mathematics 9 Advances in Mathematics 9 Journal of Functional Analysis 9 Mathematische Annalen 8 Inventiones Mathematicae 8 Journal of Group Theory 7 Ergodic Theory and Dynamical Systems 6 Archiv der Mathematik 6 Journal of Pure and Applied Algebra 6 Mathematische Zeitschrift 6 Theoretical Computer Science 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Mathematical Sciences (New York) 5 Conformal Geometry and Dynamics 5 Annals of Mathematics. Second Series 5 Bulletin of Mathematical Sciences 4 Duke Mathematical Journal 4 Monatshefte für Mathematik 4 Semigroup Forum 4 Expositiones Mathematicae 4 Journal of the European Mathematical Society (JEMS) 4 Journal of Modern Dynamics 4 Journal of Topology and Analysis 4 International Journal of Group Theory 4 Arnold Mathematical Journal 3 Mathematical Notes 3 Bulletin of the London Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Knot Theory and its Ramifications 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Dynamical and Control Systems 3 Journal of the Australian Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Algebra and Discrete Mathematics 2 Journal d’Analyse Mathématique 2 Ukrainian Mathematical Journal 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Glasgow Mathematical Journal 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Topology and its Applications 2 Graphs and Combinatorics 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana 2 Journal of Theoretical Probability 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 International Journal of Foundations of Computer Science 2 The Journal of Geometric Analysis 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Selecta Mathematica. New Series 2 Geometry & Topology 2 Algebras and Representation Theory 2 Algebraic & Geometric Topology 2 Journal of Algebra and its Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Groups, Complexity, Cryptology 2 Journal of Combinatorial Algebra 1 American Mathematical Monthly 1 Artificial Intelligence 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Graph Theory 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik ...and 45 more Serials
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#### Cited in 46 Fields

 313 Group theory and generalizations (20-XX) 129 Combinatorics (05-XX) 91 Dynamical systems and ergodic theory (37-XX) 66 Computer science (68-XX) 55 Associative rings and algebras (16-XX) 53 Probability theory and stochastic processes (60-XX) 45 Abstract harmonic analysis (43-XX) 44 Manifolds and cell complexes (57-XX) 40 Number theory (11-XX) 30 Nonassociative rings and algebras (17-XX) 30 Topological groups, Lie groups (22-XX) 23 Functional analysis (46-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 12 Measure and integration (28-XX) 12 Differential geometry (53-XX) 11 Functions of a complex variable (30-XX) 11 Operator theory (47-XX) 10 Algebraic topology (55-XX) 8 Mathematical logic and foundations (03-XX) 8 Convex and discrete geometry (52-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Partial differential equations (35-XX) 7 General topology (54-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Algebraic geometry (14-XX) 6 Potential theory (31-XX) 6 Information and communication theory, circuits (94-XX) 5 Category theory; homological algebra (18-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Geometry (51-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 $$K$$-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)