## Bartholdi, Laurent

Compute Distance To:
 Author ID: bartholdi.laurent Published as: Bartholdi, Laurent; Bartholdi, L.
 Documents Indexed: 89 Publications since 1997 3 Contributions as Editor Reviewing Activity: 30 Reviews Co-Authors: 55 Co-Authors with 60 Joint Publications 1,269 Co-Co-Authors
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### Co-Authors

 28 single-authored 7 Grigorchuk, Rostislav Ivanovich 6 Erschler, Anna 5 Ceccherini-Silberstein, Tullio G. 5 Dudko, Dzmitry 5 Nekrashevych, Volodymyr V. 3 Šuniḱ, Zoran 2 de Cornulier, Yves 2 de la Harpe, Pierre 2 Godin, Thibault 2 Henriques, André G. 2 Klimann, Ines 2 Lohrey, Markus 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 Baker, Anthony Wayne 1 Bassino, Frédérique 1 Bogopolski, Oleg 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 Figelius, Michael 1 Graf von Bothmer, Hans-Christian 1 Hann-Caruthers, Wade 1 Härer, Henrika 1 Hartung, René 1 Josyula, Maya 1 Kaimanovich, Vadim A. 1 Kapovich, Ilya 1 Kochloukova, Dessislava Hristova 1 Kröker, Jakob 1 Mitrofanov, Ivan Viktorovich 1 Neuhauser, Markus 1 Nicaud, Cyril 1 Noûs, Camille 1 Passi, Inder Bir Singh 1 Pochon, Floriane 1 Rains, Eric M. 1 Rhoads, Glenn C. 1 Rivin, Igor 1 Sallard, Pierre-Alain 1 Shpilrain, Vladimir 1 Smale, Nathan 1 Smale, Steve 1 Sushchans’kyĭ, Vitaliĭ Ivanovych 1 Tamuz, Omer 1 Ushakov, Alexander S. 1 Ventura Capell, Enric 1 Virág, Bálint 1 Weil, Pascal 1 Weiß, Armin 1 Yariv, Leeat 1 Zalesskii, Pavel
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### Serials

 10 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 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Econometrica 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

 68 Group theory and generalizations (20-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Combinatorics (05-XX) 16 Computer science (68-XX) 12 Associative rings and algebras (16-XX) 10 Nonassociative rings and algebras (17-XX) 10 Abstract harmonic analysis (43-XX) 8 Manifolds and cell complexes (57-XX) 8 Probability theory and stochastic processes (60-XX) 7 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) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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)

### Citations contained in zbMATH Open

77 Publications have been cited 943 times in 581 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
On amenability of automata groups. Zbl 1268.20026
Bartholdi, Laurent; Kaimanovich, Vadim A.; Nekrashevych, Volodymyr V.
2010
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
2002
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
Spectral computations on lamplighter groups and Diestel-Leader graphs. Zbl 1082.05058
Bartholdi, Laurent; Woess, Wolfgang
2005
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
Growth of permutational extensions. Zbl 1286.20025
Bartholdi, Laurent; Erschler, Anna
2012
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
A Wilson group of non-uniformly exponential growth. Zbl 1050.20018
Bartholdi, Laurent
2003
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
Groups of given intermediate word growth. (Groupes de croissance intermédiaire donnée.) Zbl 1317.20043
Bartholdi, Laurent; Erschler, Anna
2014
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
Self-similar Lie algebras. Zbl 1350.17005
Bartholdi, Laurent
2015
The smallest Mealy automaton of intermediate growth. Zbl 1095.20045
Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I.
2006
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
Gardens of Eden and amenability on cellular automata. Zbl 1185.37020
Bartholdi, Laurent
2010
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
2012
Amenability of groups is characterized by Myhill’s theorem. Zbl 1458.37017
Bartholdi, Laurent
2019
Algorithmic aspects of branched coverings. Zbl 1422.57004
Bartholdi, Laurent; Dudko, Dzmitry
2017
The congruence subgroup problem for branch groups. Zbl 1271.20031
Bartholdi, Laurent; Siegenthaler, Olivier; Zalesskii, Pavel
2012
Lie algebras and growth in branch groups. Zbl 1120.20037
Bartholdi, Laurent
2005
Poisson-Furstenberg boundary and growth of groups. Zbl 1417.60004
Bartholdi, Laurent; Erschler, Anna
2017
Algorithmic decidability of Engel’s property for automaton groups. Zbl 1477.20067
Bartholdi, Laurent
2016
Imbeddings into groups of intermediate growth. Zbl 1335.20046
Bartholdi, Laurent; Erschler, Anna
2014
The twisted twin of the Grigorchuk group. Zbl 1273.20022
Bartholdi, Laurent; Siegenthaler, Olivier
2010
The rational homology of the outer automorphism group of $$F_7$$. Zbl 1347.20056
Bartholdi, Laurent
2016
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
2010
On growth and torsion of groups. Zbl 1230.20044
Bartholdi, Laurent; Pochon, Floriane
2009
Automorphisms of free groups. I. Zbl 1288.20039
Bartholdi, Laurent
2013
Infinite groups with large balls of torsion elements and small entropy. Zbl 1136.20035
Bartholdi, Laurent; de Cornulier, Yves
2006
Algorithmic aspects of branched coverings IV/V. Expanding maps. Zbl 1397.37028
Bartholdi, Laurent; Dudko, Dzmitry
2018
Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets. Zbl 1423.57003
Bartholdi, Laurent; Dudko, Dzmitry
2018
The word and order problems for self-similar and automata groups. Zbl 07227243
Bartholdi, Laurent; Mitrofanov, Ivan
2020
Parabolic subgroups and representations of branch groups. (Sous-groupes paraboliques et représentations de groupes branchés.) Zbl 1011.20027
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2001
Lamps, factorizations, and finite fields. Zbl 0982.11068
Bartholdi, Laurent
2000
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
2000
The automorphism tower of groups acting on rooted trees. Zbl 1138.20039
Bartholdi, Laurent; Sidki, Said N.
2006
A nilpotent quotient algorithm for certain infinitely presented groups and its applications. Zbl 1173.20023
Bartholdi, Laurent; Eick, Bettina; Hartung, René
2008
Erratum to: “Automorphisms of free groups. I”. Zbl 1351.20017
Bartholdi, Laurent
2016
Homological finiteness properties of wreath products. Zbl 1371.20049
Bartholdi, Laurent; de Cornulier, Yves; Kochloukova, Dessislava H.
2015
Automata, groups, limit spaces, and tilings. Zbl 1166.20303
Bartholdi, Laurent; Henriques, André G.; Nekrashevych, Volodymyr V.
2006
Representation zeta functions of wreath products with finite groups. Zbl 1261.20004
Bartholdi, Laurent; de la Harpe, Pierre
2010
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2. Zbl 1283.16020
Smoktunowicz, Agata; Bartholdi, Laurent
2013
Maximal unramified 3-extensions of imaginary quadratic fields and $$\text{SL}_2(\mathbb Z_3)$$. Zbl 1166.11041
Bartholdi, Laurent; Bush, Michael R.
2007
Salem numbers and growth series of some hyperbolic graphs. Zbl 1032.20028
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
Growth series and random walks on some hyperbolic graphs. Zbl 1059.20035
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
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
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
Branch rings, thinned rings, tree enveloping rings – erratum. Zbl 1270.16023
Bartholdi, Laurent
2013
Amenability of groups and $$G$$-sets. Zbl 1490.43001
Bartholdi, Laurent
2018
Rational subsets of groups. Zbl 07425659
Bartholdi, Laurent; Silva, Pedro
2021
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
Ordering the space of finitely generated groups. (Comment ordonner l’espace des groupes de type fini.) Zbl 1372.20030
Bartholdi, Laurent; Erschler, Anna
2015
Self-similar products of groups. Zbl 1481.20145
Bartholdi, Laurent; Sidki, Said N.
2020
Cellular automata, duality and sofic groups. Zbl 1391.68082
Bartholdi, Laurent
2017
Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence. Zbl 07330734
Bartholdi, Laurent; Dudko, Dzmitry
2021
Right angled Artin groups and partial commutation, old and new. Zbl 1489.20018
Bartholdi, Laurent; Härer, Henrika; Schick, Thomas
2020
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
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
2005
Representation zeta functions of self-similar branched groups. Zbl 1434.20005
Bartholdi, Laurent
2017
A new hierarchy for automaton semigroups. Zbl 1458.68084
Bartholdi, Laurent; Godin, Thibault; Klimann, Ines; Picantin, Matthieu
2018
(Self-)similar groups and the Farrell-Jones conjectures. Zbl 1293.20026
Bartholdi, Laurent
2013
Rational subsets of groups. Zbl 07425659
Bartholdi, Laurent; Silva, Pedro
2021
Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence. Zbl 07330734
Bartholdi, Laurent; Dudko, Dzmitry
2021
The word and order problems for self-similar and automata groups. Zbl 07227243
Bartholdi, Laurent; Mitrofanov, Ivan
2020
Self-similar products of groups. Zbl 1481.20145
Bartholdi, Laurent; Sidki, Said N.
2020
Right angled Artin groups and partial commutation, old and new. Zbl 1489.20018
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 IV/V. Expanding maps. Zbl 1397.37028
Bartholdi, Laurent; Dudko, Dzmitry
2018
Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets. Zbl 1423.57003
Bartholdi, Laurent; Dudko, Dzmitry
2018
Amenability of groups and $$G$$-sets. Zbl 1490.43001
Bartholdi, Laurent
2018
A new hierarchy for automaton semigroups. Zbl 1458.68084
Bartholdi, Laurent; Godin, Thibault; Klimann, Ines; Picantin, Matthieu
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 1477.20067
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
Algorithmic construction of Hurwitz maps. Zbl 1315.30002
Bartholdi, Laurent; Buff, Xavier; Graf von Bothmer, Hans-Christian; Kröker, Jakob
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
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
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
Salem numbers and growth series of some hyperbolic graphs. Zbl 1032.20028
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
2002
Growth series and random walks on some hyperbolic graphs. Zbl 1059.20035
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
Lamps, factorizations, and finite fields. Zbl 0982.11068
Bartholdi, Laurent
2000
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
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 602 Authors

 33 Bartholdi, Laurent 29 Grigorchuk, Rostislav Ivanovich 21 Nekrashevych, Volodymyr V. 18 Sato, Iwao 14 D’angeli, Daniele 12 Erschler, Anna 11 Šunić, Zoran 10 Ceccherini-Silberstein, Tullio G. 10 Donno, Alfredo 10 Nagnibeda, Tatiana V. 9 Bondarenko, Ievgen V. 9 Brieussel, Jérémie 9 Mizuno, Hirobumi 9 Petrogradsky, Victor Mikhaylovich 8 Smoktunowicz, Agata 7 Pilgrim, Kevin M. 7 Rodaro, Emanuele 7 Skipper, Rachel 7 Sushchans’kyĭ, Vitaliĭ Ivanovych 7 Woess, Wolfgang 7 Woryna, Adam 6 de la Harpe, Pierre 6 Savchuk, Dmytro M. 6 Shestakov, Ivan Pavlovich 6 Zel’manov, Efim Isaakovich 5 Benli, Mustafa Gökhan 5 Coornaert, Michel 5 Fernández-Alcober, Gustavo A. 5 Francoeur, Dominik 5 Garrido, Alejandra 5 Greenfeld, Be’eri 5 Klimann, Ines 5 Lukina, Olga 5 Myasnikov, Alexei G. 5 Noce, Marialaura 5 Taback, Jennifer 5 Zheng, Tianyi 4 Alahmadi, Adel N. 4 Alsulami, Hamed Hamdan 4 Bou-Rabee, Khalid 4 Dudko, Artem 4 Dudko, Dzmitry 4 Floyd, William J. 4 Juschenko, Kate 4 Kelsey, Gregory A. 4 Koch, Sarah Colleen 4 Kochloukova, Dessislava Hristova 4 Le Boudec, Adrien 4 Lee, Jaeun 4 Matte Bon, Nicolás 4 Morita, Hideaki 4 Parry, Walter R. 4 Picantin, Matthieu 4 Putman, Andrew 4 Scarabotti, Fabio 4 Siegenthaler, Olivier 4 Tolli, Filippo 4 Virág, Bálint 3 Ara, Pere 3 Bell, Jason P. 3 Breuillard, Emmanuel 3 Cain, Alan J. 3 Donoven, Casey 3 Elder, Murray J. 3 Godin, Thibault 3 Gournay, Antoine 3 Guba, Victor S. 3 Hartung, René 3 Hurder, Steven E. 3 Jain, Surender Kumar 3 Kassabov, Martin 3 Keller, Matthias 3 Klopsch, Benjamin 3 Kravchenko, Rostyslav V. 3 Lledó, Fernando 3 Pak, Igor 3 Satoh, Takao 3 Schupp, Paul E. 3 Silva, Pedro V. 3 Steinberg, Benjamin 3 Studenmund, Daniel 3 Vorobets, Yaroslav 3 Wang, Wei 3 Wesolek, Phillip Richard 3 Zugadi-Reizabal, Amaia 2 Abért, Miklós 2 Álvarez López, Jesús Antonio 2 Arzhantseva, Goulnara N. 2 Barbieri, Sebastián 2 Bardakov, Valeriĭ Georgievich 2 Barral Lijó, Ramón 2 Bekka, Mohammed el Bachir 2 Bellingeri, Paolo 2 Bendikov, Alexander D. 2 Bleak, Collin 2 Boston, Nigel 2 Bowen, Lewis Phylip 2 Brough, Tara 2 Bush, Michael R. 2 Cavaleri, Matteo ...and 502 more Authors
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### Cited in 159 Serials

 47 Journal of Algebra 32 International Journal of Algebra and Computation 26 Groups, Geometry, and Dynamics 22 Transactions of the American Mathematical Society 16 Linear Algebra and its Applications 15 Israel Journal of Mathematics 15 Geometriae Dedicata 13 Annales de l’Institut Fourier 12 Communications in Algebra 11 Proceedings of the American Mathematical Society 10 Advances in Mathematics 10 European Journal of Combinatorics 10 Journal of Group Theory 9 Discrete Mathematics 9 Journal of Functional Analysis 9 Mathematische Annalen 8 Inventiones Mathematicae 7 Archiv der Mathematik 7 Journal of Pure and Applied Algebra 7 Ergodic Theory and Dynamical Systems 6 Mathematische Zeitschrift 6 Theoretical Computer Science 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Conformal Geometry and Dynamics 5 Expositiones Mathematicae 5 Journal of Mathematical Sciences (New York) 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 5 Algebra and Discrete Mathematics 5 Journal of Topology and Analysis 5 Bulletin of Mathematical Sciences 4 Duke Mathematical Journal 4 Monatshefte für Mathematik 4 Semigroup Forum 4 Journal of Knot Theory and its Ramifications 4 Journal of Algebra and its Applications 4 Journal of Modern Dynamics 4 International Journal of Group Theory 4 Arnold Mathematical Journal 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 The Annals of Probability 3 Bulletin of the London Mathematical Society 3 Topology and its Applications 3 Probability Theory and Related Fields 3 Journal of Theoretical Probability 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series 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 Journal of Combinatorial Algebra 2 Journal d’Analyse Mathématique 2 Applied Mathematics and Computation 2 Colloquium Mathematicum 2 Glasgow Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of the Mathematical Society of Japan 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Graphs and Combinatorics 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 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 The Journal of Fourier Analysis and Applications 2 Geometry & Topology 2 Algebras and Representation Theory 2 Algebraic & Geometric Topology 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Ars Mathematica Contemporanea 2 São Paulo Journal of Mathematical Sciences 2 Groups, Complexity, Cryptology 1 Acta Informatica 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 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Journal of Applied Probability ...and 59 more Serials
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### Cited in 47 Fields

 354 Group theory and generalizations (20-XX) 142 Combinatorics (05-XX) 109 Dynamical systems and ergodic theory (37-XX) 79 Computer science (68-XX) 58 Associative rings and algebras (16-XX) 57 Probability theory and stochastic processes (60-XX) 49 Abstract harmonic analysis (43-XX) 49 Manifolds and cell complexes (57-XX) 46 Number theory (11-XX) 37 Topological groups, Lie groups (22-XX) 34 Nonassociative rings and algebras (17-XX) 28 Functional analysis (46-XX) 17 Operator theory (47-XX) 16 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) 10 Algebraic topology (55-XX) 9 Convex and discrete geometry (52-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 General topology (54-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Mathematical logic and foundations (03-XX) 7 Partial differential equations (35-XX) 6 Algebraic geometry (14-XX) 6 Category theory; homological algebra (18-XX) 6 Potential theory (31-XX) 6 Information and communication theory, circuits (94-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geometry (51-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-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) 1 Systems theory; control (93-XX)