×
Author ID: bartholdi.laurent Recent zbMATH articles by "Bartholdi, Laurent"
Published as: Bartholdi, Laurent; Bartholdi, L.
all top 5

Co-Authors

40 single-authored
8 Grigorchuk, Rostislav Ivanovich
6 Erschler, Anna
6 Nekrashevych, Volodymyr V.
5 Ceccherini-Silberstein, Tullio G.
5 Dudko, Dzmitry
3 Mikhaĭlov, Roman Valer’evich
3 Siegenthaler, Olivier
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 Sidki, Said Najati
2 Silva, Pedro V.
2 Smirnova-Nagnibeda, Tatiana
2 Smoktunowicz, Agata
2 Woess, Wolfgang
2 Żuk, Andrzej
1 Ahmed, Tanbir
1 Arzhantseva, Goulnara N.
1 Baker, Anthony Wayne
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 Fialkovski, Danil
1 Figelius, Michael
1 Graf von Bothmer, Hans-Christian
1 Groth, Thorsten
1 Hann-Caruthers, Wade
1 Härer, Henrika
1 Hartung, René
1 Ivanov, Sergei Olegovich
1 Josyula, Maya
1 Kaimanovich, Vadim A.
1 Kassabov, Martin
1 Kochloukova, Dessislava Hristova
1 Kröker, Jakob
1 Liardet, Fabrice
1 Lohrey, Markus
1 Lysenok, Igor’ Geront’evich
1 Mitrofanov, Ivan Viktorovich
1 Neuhauser, Markus
1 Noce, Marialaura
1 Noûs, Camille
1 Passi, Inder Bir Singh
1 Pernak, Leon
1 Pochon, Floriane
1 Rains, Eric M.
1 Rauzy, Emmanuel
1 Rhoads, Glenn C.
1 Rodríguez Caballero, José Manuel
1 Sallard, Pierre-Alain
1 Smale, Nathan
1 Smale, Stephen
1 Sushchans’kyĭ, Vitaliĭ Ivanovych
1 Tamuz, Omer
1 Trimble, Todd H.
1 Ventura Capell, Enric
1 Virág, Bálint
1 Weiß, Armin
1 Yariv, Leeat
1 Zalesskii, Pavel
1 Zheng, Tianyi
all top 5

Serials

13 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
2 Algebra and Discrete 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 Gazette des Mathématiciens
1 Geometriae Dedicata
1 Journal of Number Theory
1 Mathematische Zeitschrift
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 Journal of Topology
1 Games
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,170 times in 701 Documents Cited by Year
Branch groups. Zbl 1140.20306
Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran
101
2003
From fractal groups to fractal sets. Zbl 1037.20040
Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr
71
2003
Counting paths in graphs. Zbl 0961.05032
Bartholdi, Laurent
55
1999
Amenability via random walks. Zbl 1104.43002
Bartholdi, Laurent; Virág, Bálint
49
2005
On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305
Bartholdi, L.; Grigorchuk, R. I.
48
2000
On amenability of automata groups. Zbl 1268.20026
Bartholdi, Laurent; Kaimanovich, Vadim A.; Nekrashevych, Volodymyr V.
46
2010
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
40
2002
Thurston equivalence of topological polynomials. Zbl 1176.37020
Bartholdi, Laurent; Nekrashevych, Volodymyr
38
2006
Branch rings, thinned rings, tree enveloping rings. Zbl 1173.16303
Bartholdi, Laurent
35
2006
Endomorphic presentations of branch groups. Zbl 1044.20015
Bartholdi, Laurent
35
2003
Spectral computations on lamplighter groups and Diestel-Leader graphs. Zbl 1082.05058
Bartholdi, Laurent; Woess, Wolfgang
30
2005
On the word and period growth of some groups of tree automorphisms. Zbl 1001.20027
Bartholdi, Laurent; Šuniḱ, Zoran
28
2001
Horocyclic products of trees. Zbl 1155.05009
Bartholdi, Laurent; Neuhauser, Markus; Woess, Wolfgang
25
2008
The growth of Grigorchuk’s torsion group. Zbl 0942.20027
Bartholdi, Laurent
25
1998
Growth of permutational extensions. Zbl 1286.20025
Bartholdi, Laurent; Erschler, Anna
25
2012
A Wilson group of non-uniformly exponential growth. Zbl 1050.20018
Bartholdi, Laurent
24
2003
Some solvable automaton groups. Zbl 1106.20021
Bartholdi, Laurent; Šuniḱ, Zoran
23
2006
Lie methods in growth of groups and groups of finite width. Zbl 1032.20026
Bartholdi, Laurent; Grigorchuk, Rostislav I.
22
2000
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
22
2006
Groups of given intermediate word growth. (Groupes de croissance intermédiaire donnée.) Zbl 1317.20043
Bartholdi, Laurent; Erschler, Anna
22
2014
Amenability of groups is characterized by Myhill’s theorem. Zbl 1458.37017
Bartholdi, Laurent
20
2019
Iterated monodromy groups of quadratic polynomials. I. Zbl 1153.37379
Bartholdi, Laurent; Nekrashevych, Volodymyr V.
15
2008
Gardens of Eden and amenability on cellular automata. Zbl 1185.37020
Bartholdi, Laurent
15
2010
On amenability of group algebras. I. Zbl 1167.43001
Bartholdi, Laurent
14
2008
Algorithmic aspects of branched coverings. Zbl 1422.57004
Bartholdi, Laurent; Dudko, Dzmitry
13
2017
The smallest Mealy automaton of intermediate growth. Zbl 1095.20045
Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I.
13
2006
Self-similar Lie algebras. Zbl 1350.17005
Bartholdi, Laurent
13
2015
Images of Golod-Shafarevich algebras with small growth. Zbl 1312.16017
Smoktunowicz, Agata; Bartholdi, Laurent
13
2014
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
13
2012
Rational subsets of groups. Zbl 1511.20116
Bartholdi, Laurent; Silva, Pedro
12
2021
Lower bounds on the growth of a group acting on the binary rooted tree. Zbl 1028.20025
Bartholdi, Laurent
12
2001
The twisted twin of the Grigorchuk group. Zbl 1273.20022
Bartholdi, Laurent; Siegenthaler, Olivier
11
2010
The congruence subgroup problem for branch groups. Zbl 1271.20031
Bartholdi, Laurent; Siegenthaler, Olivier; Zalesskii, Pavel
11
2012
Poisson-Furstenberg boundary and growth of groups. Zbl 1417.60004
Bartholdi, Laurent; Erschler, Anna
11
2017
Algorithmic aspects of branched coverings IV/V. Expanding maps. Zbl 1397.37028
Bartholdi, Laurent; Dudko, Dzmitry
11
2018
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
10
2010
The word and order problems for self-similar and automata groups. Zbl 1496.20056
Bartholdi, Laurent; Mitrofanov, Ivan
10
2020
Lie algebras and growth in branch groups. Zbl 1120.20037
Bartholdi, Laurent
10
2005
Algorithmic decidability of Engel’s property for automaton groups. Zbl 1477.20067
Bartholdi, Laurent
10
2016
Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets. Zbl 1423.57003
Bartholdi, Laurent; Dudko, Dzmitry
9
2018
Homological finiteness properties of wreath products. Zbl 1371.20049
Bartholdi, Laurent; de Cornulier, Yves; Kochloukova, Dessislava H.
8
2015
Infinite groups with large balls of torsion elements and small entropy. Zbl 1136.20035
Bartholdi, Laurent; de Cornulier, Yves
7
2006
On growth and torsion of groups. Zbl 1230.20044
Bartholdi, Laurent; Pochon, Floriane
7
2009
Automorphisms of free groups. I. Zbl 1288.20039
Bartholdi, Laurent
7
2013
Imbeddings into groups of intermediate growth. Zbl 1335.20046
Bartholdi, Laurent; Erschler, Anna
7
2014
The rational homology of the outer automorphism group of \(F_7\). Zbl 1347.20056
Bartholdi, Laurent
7
2016
Groups defined by automata. Zbl 1520.20075
Bartholdi, Laurent; Silva, Pedro
6
2021
Erratum to: “Automorphisms of free groups. I”. Zbl 1351.20017
Bartholdi, Laurent
6
2016
A nilpotent quotient algorithm for certain infinitely presented groups and its applications. Zbl 1173.20023
Bartholdi, Laurent; Eick, Bettina; Hartung, René
5
2008
Amenability of groups and \(G\)-sets. Zbl 1490.43001
Bartholdi, Laurent
5
2018
Ordering the space of finitely generated groups. (Comment ordonner l’espace des groupes de type fini.) Zbl 1372.20030
Bartholdi, Laurent; Erschler, Anna
5
2015
Maximal unramified 3-extensions of imaginary quadratic fields and \(\text{SL}_2(\mathbb Z_3)\). Zbl 1166.11041
Bartholdi, Laurent; Bush, Michael R.
5
2007
Automata, groups, limit spaces, and tilings. Zbl 1166.20303
Bartholdi, Laurent; Henriques, André G.; Nekrashevych, Volodymyr V.
5
2006
Groups with ALOGTIME-hard word problems and PSPACE-complete circuit value problems. Zbl 07561757
Bartholdi, Laurent; Figelius, Michael; Lohrey, Markus; Weiß, Armin
5
2020
Representation zeta functions of wreath products with finite groups. Zbl 1261.20004
Bartholdi, Laurent; de la Harpe, Pierre
4
2010
Parabolic subgroups and representations of branch groups. (Sous-groupes paraboliques et représentations de groupes branchés.) Zbl 1011.20027
Bartholdi, Laurent; Grigorchuk, Rostislav I.
4
2001
Lamps, factorizations, and finite fields. Zbl 0982.11068
Bartholdi, Laurent
4
2000
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2. Zbl 1283.16020
Smoktunowicz, Agata; Bartholdi, Laurent
4
2013
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
4
2000
The automorphism tower of groups acting on rooted trees. Zbl 1138.20039
Bartholdi, Laurent; Sidki, Said N.
4
2006
A Mealy machine with polynomial growth of irrational degree. Zbl 1185.68430
Bartholdi, Laurent; Reznykov, Illya I.
3
2008
Self-similar products of groups. Zbl 1481.20145
Bartholdi, Laurent; Sidki, Said N.
3
2020
Lie dimension subrings. Zbl 1387.17009
Bartholdi, Laurent; Passi, Inder Bir S.
3
2015
Algorithmic construction of Hurwitz maps. Zbl 1315.30002
Bartholdi, Laurent; Buff, Xavier; Graf von Bothmer, Hans-Christian; Kröker, Jakob
3
2015
Estimates for simple random walks of fundamental groups of surfaces. Zbl 0872.60051
Bartholdi, Laurent; Cantat, Serge; Ceccherini-Silberstein, Tullio; De la Harpe, Pierre
3
1997
Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs. Zbl 1103.60048
Bartholdi, Laurent
3
2004
A new hierarchy for automaton semigroups. Zbl 1458.68084
Bartholdi, Laurent; Godin, Thibault; Klimann, Ines; Picantin, Matthieu
3
2018
Cellular automata, duality and sofic groups. Zbl 1391.68082
Bartholdi, Laurent
3
2017
Salem numbers and growth series of some hyperbolic graphs. Zbl 1032.20028
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
3
2002
Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence. Zbl 1518.57030
Bartholdi, Laurent; Dudko, Dzmitry
3
2021
Growth series and random walks on some hyperbolic graphs. Zbl 1059.20035
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
3
2002
Branch rings, thinned rings, tree enveloping rings – erratum. Zbl 1270.16023
Bartholdi, Laurent
3
2013
Growth of groups and wreath products. Zbl 1373.20054
Bartholdi, Laurent
3
2017
Computer solution to the game of pure strategy. Zbl 1311.91003
Rhoads, Glenn C.; Bartholdi, Laurent
2
2012
Equitable voting rules. Zbl 1474.91057
Bartholdi, Laurent; Hann-Caruthers, Wade; Josyula, Maya; Tamuz, Omer; Yariv, Leeat
2
2021
Representation zeta functions of self-similar branched groups. Zbl 1434.20005
Bartholdi, Laurent
2
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
1
2005
Right angled Artin groups and partial commutation, old and new. Zbl 1489.20018
Bartholdi, Laurent; Härer, Henrika; Schick, Thomas
1
2020
Simulations and the lamplighter group. Zbl 07672035
Bartholdi, Laurent; Salo, Ville
1
2022
Book review of: A. Terras, Zeta functions of graphs. A stroll through the garden. Zbl 1275.00010
Bartholdi, Laurent
1
2014
(Self-)similar groups and the Farrell-Jones conjectures. Zbl 1293.20026
Bartholdi, Laurent
1
2013
Distortion of imbeddings of groups of intermediate growth into metric spaces. Zbl 1431.20027
Bartholdi, Laurent; Erschler, Anna
1
2017
Simulations and the lamplighter group. Zbl 07672035
Bartholdi, Laurent; Salo, Ville
1
2022
Rational subsets of groups. Zbl 1511.20116
Bartholdi, Laurent; Silva, Pedro
12
2021
Groups defined by automata. Zbl 1520.20075
Bartholdi, Laurent; Silva, Pedro
6
2021
Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence. Zbl 1518.57030
Bartholdi, Laurent; Dudko, Dzmitry
3
2021
Equitable voting rules. Zbl 1474.91057
Bartholdi, Laurent; Hann-Caruthers, Wade; Josyula, Maya; Tamuz, Omer; Yariv, Leeat
2
2021
The word and order problems for self-similar and automata groups. Zbl 1496.20056
Bartholdi, Laurent; Mitrofanov, Ivan
10
2020
Groups with ALOGTIME-hard word problems and PSPACE-complete circuit value problems. Zbl 07561757
Bartholdi, Laurent; Figelius, Michael; Lohrey, Markus; Weiß, Armin
5
2020
Self-similar products of groups. Zbl 1481.20145
Bartholdi, Laurent; Sidki, Said N.
3
2020
Right angled Artin groups and partial commutation, old and new. Zbl 1489.20018
Bartholdi, Laurent; Härer, Henrika; Schick, Thomas
1
2020
Amenability of groups is characterized by Myhill’s theorem. Zbl 1458.37017
Bartholdi, Laurent
20
2019
Algorithmic aspects of branched coverings IV/V. Expanding maps. Zbl 1397.37028
Bartholdi, Laurent; Dudko, Dzmitry
11
2018
Algorithmic aspects of branched coverings I/V. Van Kampen’s theorem for bisets. Zbl 1423.57003
Bartholdi, Laurent; Dudko, Dzmitry
9
2018
Amenability of groups and \(G\)-sets. Zbl 1490.43001
Bartholdi, Laurent
5
2018
A new hierarchy for automaton semigroups. Zbl 1458.68084
Bartholdi, Laurent; Godin, Thibault; Klimann, Ines; Picantin, Matthieu
3
2018
Algorithmic aspects of branched coverings. Zbl 1422.57004
Bartholdi, Laurent; Dudko, Dzmitry
13
2017
Poisson-Furstenberg boundary and growth of groups. Zbl 1417.60004
Bartholdi, Laurent; Erschler, Anna
11
2017
Cellular automata, duality and sofic groups. Zbl 1391.68082
Bartholdi, Laurent
3
2017
Growth of groups and wreath products. Zbl 1373.20054
Bartholdi, Laurent
3
2017
Representation zeta functions of self-similar branched groups. Zbl 1434.20005
Bartholdi, Laurent
2
2017
Distortion of imbeddings of groups of intermediate growth into metric spaces. Zbl 1431.20027
Bartholdi, Laurent; Erschler, Anna
1
2017
Algorithmic decidability of Engel’s property for automaton groups. Zbl 1477.20067
Bartholdi, Laurent
10
2016
The rational homology of the outer automorphism group of \(F_7\). Zbl 1347.20056
Bartholdi, Laurent
7
2016
Erratum to: “Automorphisms of free groups. I”. Zbl 1351.20017
Bartholdi, Laurent
6
2016
Self-similar Lie algebras. Zbl 1350.17005
Bartholdi, Laurent
13
2015
Homological finiteness properties of wreath products. Zbl 1371.20049
Bartholdi, Laurent; de Cornulier, Yves; Kochloukova, Dessislava H.
8
2015
Ordering the space of finitely generated groups. (Comment ordonner l’espace des groupes de type fini.) Zbl 1372.20030
Bartholdi, Laurent; Erschler, Anna
5
2015
Lie dimension subrings. Zbl 1387.17009
Bartholdi, Laurent; Passi, Inder Bir S.
3
2015
Algorithmic construction of Hurwitz maps. Zbl 1315.30002
Bartholdi, Laurent; Buff, Xavier; Graf von Bothmer, Hans-Christian; Kröker, Jakob
3
2015
Groups of given intermediate word growth. (Groupes de croissance intermédiaire donnée.) Zbl 1317.20043
Bartholdi, Laurent; Erschler, Anna
22
2014
Images of Golod-Shafarevich algebras with small growth. Zbl 1312.16017
Smoktunowicz, Agata; Bartholdi, Laurent
13
2014
Imbeddings into groups of intermediate growth. Zbl 1335.20046
Bartholdi, Laurent; Erschler, Anna
7
2014
Book review of: A. Terras, Zeta functions of graphs. A stroll through the garden. Zbl 1275.00010
Bartholdi, Laurent
1
2014
Automorphisms of free groups. I. Zbl 1288.20039
Bartholdi, Laurent
7
2013
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2. Zbl 1283.16020
Smoktunowicz, Agata; Bartholdi, Laurent
4
2013
Branch rings, thinned rings, tree enveloping rings – erratum. Zbl 1270.16023
Bartholdi, Laurent
3
2013
(Self-)similar groups and the Farrell-Jones conjectures. Zbl 1293.20026
Bartholdi, Laurent
1
2013
Growth of permutational extensions. Zbl 1286.20025
Bartholdi, Laurent; Erschler, Anna
25
2012
Hodge theory on metric spaces. Appendix by Anthony W. Baker. Zbl 1366.58001
Bartholdi, Laurent; Schick, Thomas; Smale, Nat; Smale, Steve
13
2012
The congruence subgroup problem for branch groups. Zbl 1271.20031
Bartholdi, Laurent; Siegenthaler, Olivier; Zalesskii, Pavel
11
2012
Computer solution to the game of pure strategy. Zbl 1311.91003
Rhoads, Glenn C.; Bartholdi, Laurent
2
2012
On amenability of automata groups. Zbl 1268.20026
Bartholdi, Laurent; Kaimanovich, Vadim A.; Nekrashevych, Volodymyr V.
46
2010
Gardens of Eden and amenability on cellular automata. Zbl 1185.37020
Bartholdi, Laurent
15
2010
The twisted twin of the Grigorchuk group. Zbl 1273.20022
Bartholdi, Laurent; Siegenthaler, Olivier
11
2010
On abstract commensurators of groups. Zbl 1262.20046
Bartholdi, L.; Bogopolski, O.
10
2010
Representation zeta functions of wreath products with finite groups. Zbl 1261.20004
Bartholdi, Laurent; de la Harpe, Pierre
4
2010
On growth and torsion of groups. Zbl 1230.20044
Bartholdi, Laurent; Pochon, Floriane
7
2009
Horocyclic products of trees. Zbl 1155.05009
Bartholdi, Laurent; Neuhauser, Markus; Woess, Wolfgang
25
2008
Iterated monodromy groups of quadratic polynomials. I. Zbl 1153.37379
Bartholdi, Laurent; Nekrashevych, Volodymyr V.
15
2008
On amenability of group algebras. I. Zbl 1167.43001
Bartholdi, Laurent
14
2008
A nilpotent quotient algorithm for certain infinitely presented groups and its applications. Zbl 1173.20023
Bartholdi, Laurent; Eick, Bettina; Hartung, René
5
2008
A Mealy machine with polynomial growth of irrational degree. Zbl 1185.68430
Bartholdi, Laurent; Reznykov, Illya I.
3
2008
Maximal unramified 3-extensions of imaginary quadratic fields and \(\text{SL}_2(\mathbb Z_3)\). Zbl 1166.11041
Bartholdi, Laurent; Bush, Michael R.
5
2007
Thurston equivalence of topological polynomials. Zbl 1176.37020
Bartholdi, Laurent; Nekrashevych, Volodymyr
38
2006
Branch rings, thinned rings, tree enveloping rings. Zbl 1173.16303
Bartholdi, Laurent
35
2006
Some solvable automaton groups. Zbl 1106.20021
Bartholdi, Laurent; Šuniḱ, Zoran
23
2006
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
22
2006
The smallest Mealy automaton of intermediate growth. Zbl 1095.20045
Bartholdi, L.; Reznykov, I. I.; Sushchansky, V. I.
13
2006
Infinite groups with large balls of torsion elements and small entropy. Zbl 1136.20035
Bartholdi, Laurent; de Cornulier, Yves
7
2006
Automata, groups, limit spaces, and tilings. Zbl 1166.20303
Bartholdi, Laurent; Henriques, André G.; Nekrashevych, Volodymyr V.
5
2006
The automorphism tower of groups acting on rooted trees. Zbl 1138.20039
Bartholdi, Laurent; Sidki, Said N.
4
2006
Amenability via random walks. Zbl 1104.43002
Bartholdi, Laurent; Virág, Bálint
49
2005
Spectral computations on lamplighter groups and Diestel-Leader graphs. Zbl 1082.05058
Bartholdi, Laurent; Woess, Wolfgang
30
2005
Lie algebras and growth in branch groups. Zbl 1120.20037
Bartholdi, Laurent
10
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
1
2005
Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs. Zbl 1103.60048
Bartholdi, Laurent
3
2004
Branch groups. Zbl 1140.20306
Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran
101
2003
From fractal groups to fractal sets. Zbl 1037.20040
Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr
71
2003
Endomorphic presentations of branch groups. Zbl 1044.20015
Bartholdi, Laurent
35
2003
A Wilson group of non-uniformly exponential growth. Zbl 1050.20018
Bartholdi, Laurent
24
2003
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
40
2002
Salem numbers and growth series of some hyperbolic graphs. Zbl 1032.20028
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
3
2002
Growth series and random walks on some hyperbolic graphs. Zbl 1059.20035
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G.
3
2002
On the word and period growth of some groups of tree automorphisms. Zbl 1001.20027
Bartholdi, Laurent; Šuniḱ, Zoran
28
2001
Lower bounds on the growth of a group acting on the binary rooted tree. Zbl 1028.20025
Bartholdi, Laurent
12
2001
Parabolic subgroups and representations of branch groups. (Sous-groupes paraboliques et représentations de groupes branchés.) Zbl 1011.20027
Bartholdi, Laurent; Grigorchuk, Rostislav I.
4
2001
On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305
Bartholdi, L.; Grigorchuk, R. I.
48
2000
Lie methods in growth of groups and groups of finite width. Zbl 1032.20026
Bartholdi, Laurent; Grigorchuk, Rostislav I.
22
2000
Lamps, factorizations, and finite fields. Zbl 0982.11068
Bartholdi, Laurent
4
2000
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
4
2000
Counting paths in graphs. Zbl 0961.05032
Bartholdi, Laurent
55
1999
The growth of Grigorchuk’s torsion group. Zbl 0942.20027
Bartholdi, Laurent
25
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
3
1997
all top 5

Cited by 705 Authors

39 Bartholdi, Laurent
31 Grigorchuk, Rostislav Ivanovich
21 Nekrashevych, Volodymyr V.
18 D’angeli, Daniele
18 Sato, Iwao
13 Donno, Alfredo
13 Erschler, Anna
13 Šunić, Zoran
11 Ceccherini-Silberstein, Tullio G.
10 Brieussel, Jérémie
10 Petrogradsky, Victor Mikhaylovich
10 Smirnova-Nagnibeda, Tatiana
9 Bondarenko, Ievgen V.
9 Mizuno, Hirobumi
9 Rodaro, Emanuele
9 Savchuk, Dmytro M.
8 Klimann, Ines
8 Noce, Marialaura
8 Pilgrim, Kevin M.
8 Sidki, Said Najati
8 Smoktunowicz, Agata
8 Woryna, Adam
8 Zel’manov, Efim Isaakovich
7 Greenfeld, Be’eri
7 Lukina, Olga
7 Picantin, Matthieu
7 Skipper, Rachel
7 Sushchans’kyĭ, Vitaliĭ Ivanovych
7 Woess, Wolfgang
6 Coornaert, Michel
6 de la Harpe, Pierre
6 Fernández-Alcober, Gustavo A.
6 Francoeur, Dominik
6 Le Boudec, Adrien
6 Shestakov, Ivan Pavlovich
6 Zheng, Tianyi
5 Alahmadi, Adel N.
5 Alsulami, Hamed Hamdan
5 Benli, Mustafa Gökhan
5 Cavaleri, Matteo
5 Floyd, William J.
5 Garrido, Alejandra
5 Godin, Thibault
5 Kionke, Steffen
5 Matte Bon, Nicolás
5 Myasnikov, Alexei G.
5 Taback, Jennifer
5 Vorobets, Yaroslav
4 Belk, James M.
4 Bou-Rabee, Khalid
4 De Felice, Clelia
4 Dudko, Artem
4 Dudko, Dzmitry
4 Guba, Victor S.
4 Hurder, Steven E.
4 Jain, Surender Kumar
4 Juschenko, Kate
4 Kelsey, Gregory A.
4 Klopsch, Benjamin
4 Koch, Sarah Colleen
4 Kochloukova, Dessislava Hristova
4 Lee, Jaeun
4 Lledó, Fernando
4 Lohrey, Markus
4 Morita, Hideaki
4 Parry, Walter R.
4 Perrin, Dominique
4 Petschick, Jan Moritz
4 Phung, Xuan Kien
4 Putman, Andrew
4 Reutenauer, Christophe
4 Rindone, Giuseppina
4 Scarabotti, Fabio
4 Siegenthaler, Olivier
4 Silva, Pedro V.
4 Steinberg, Benjamin
4 Tolli, Filippo
4 Virág, Bálint
4 Wächter, Jan Philipp
4 Weiß, Armin
3 Allouche, Jean-Paul Simon
3 Ara, Pere
3 Bell, Jason P.
3 Bellingeri, Paolo
3 Berthé, Valérie
3 Breuillard, Emmanuel
3 Cain, Alan J.
3 Dantas, Alex Carrazedo
3 Dolce, Francesco
3 Donoven, Casey R.
3 Elder, Murray J.
3 Gournay, Antoine
3 Hartung, René
3 Kaimanovich, Vadim A.
3 Kassabov, Martin
3 Keller, Matthias
3 Kravchenko, Rostyslav V.
3 Leroy, Julien
3 Li, Hanfeng
3 Lodge, Russell
...and 605 more Authors
all top 5

Cited in 180 Serials

55 Journal of Algebra
36 Groups, Geometry, and Dynamics
35 International Journal of Algebra and Computation
24 Transactions of the American Mathematical Society
17 Geometriae Dedicata
17 Linear Algebra and its Applications
16 Israel Journal of Mathematics
14 Advances in Mathematics
13 Communications in Algebra
13 Annales de l’Institut Fourier
11 Mathematische Annalen
11 Proceedings of the American Mathematical Society
11 Journal of Group Theory
10 Journal of Functional Analysis
10 European Journal of Combinatorics
9 Discrete Mathematics
9 Ergodic Theory and Dynamical Systems
8 Archiv der Mathematik
8 Inventiones Mathematicae
8 Mathematische Zeitschrift
8 Theoretical Computer Science
8 Algebra and Discrete Mathematics
7 Journal of Pure and Applied Algebra
7 Conformal Geometry and Dynamics
7 Journal of Algebra and its Applications
6 Expositiones Mathematicae
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Journal of the European Mathematical Society (JEMS)
5 Duke Mathematical Journal
5 Monatshefte für Mathematik
5 Journal of Mathematical Sciences (New York)
5 Annals of Mathematics. Second Series
5 Journal of Topology and Analysis
5 Bulletin of Mathematical Sciences
5 International Journal of Group Theory
5 Arnold Mathematical Journal
4 Bulletin of the London Mathematical Society
4 Pacific Journal of Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Semigroup Forum
4 Forum Mathematicum
4 Journal of Knot Theory and its Ramifications
4 Journal of the Australian Mathematical Society
4 Journal of Modern Dynamics
3 Journal d’Analyse Mathématique
3 Mathematical Notes
3 Ukrainian Mathematical Journal
3 The Annals of Probability
3 Journal of the London Mathematical Society. Second Series
3 Journal of Number Theory
3 Topology and its Applications
3 Probability Theory and Related Fields
3 Journal of Theoretical Probability
3 Geometric and Functional Analysis. GAFA
3 Bulletin of the American Mathematical Society. New Series
3 Journal de Théorie des Nombres de Bordeaux
3 Selecta Mathematica. New Series
3 Geometry & Topology
3 Journal of Dynamical and Control Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Combinatorial Algebra
2 Algebra and Logic
2 Applied Mathematics and Computation
2 Colloquium Mathematicum
2 Glasgow Mathematical Journal
2 Indiana University Mathematics Journal
2 Journal of Applied Probability
2 Journal of the Mathematical Society of Japan
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Advances in Applied Mathematics
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 L’Enseignement Mathématique. 2e Série
2 Journal of Mathematical Imaging and Vision
2 Experimental Mathematics
2 Journal of Algebraic Combinatorics
2 The Electronic Journal of Combinatorics
2 The Journal of Fourier Analysis and Applications
2 Theory of Computing Systems
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
2 Forum of Mathematics, Sigma
2 Transactions on Combinatorics
2 Advances in Group Theory and Applications
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
...and 80 more Serials
all top 5

Cited in 49 Fields

436 Group theory and generalizations (20-XX)
156 Combinatorics (05-XX)
133 Dynamical systems and ergodic theory (37-XX)
114 Computer science (68-XX)
66 Associative rings and algebras (16-XX)
64 Probability theory and stochastic processes (60-XX)
63 Manifolds and cell complexes (57-XX)
59 Abstract harmonic analysis (43-XX)
56 Number theory (11-XX)
44 Topological groups, Lie groups (22-XX)
38 Nonassociative rings and algebras (17-XX)
33 Functional analysis (46-XX)
22 Operator theory (47-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
16 Measure and integration (28-XX)
13 Algebraic topology (55-XX)
12 Mathematical logic and foundations (03-XX)
12 Functions of a complex variable (30-XX)
12 Differential geometry (53-XX)
10 Algebraic geometry (14-XX)
10 Convex and discrete geometry (52-XX)
9 Category theory; homological algebra (18-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Partial differential equations (35-XX)
8 General topology (54-XX)
7 Quantum theory (81-XX)
7 Information and communication theory, circuits (94-XX)
6 Potential theory (31-XX)
6 Geometry (51-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Order, lattices, ordered algebraic structures (06-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)
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 Commutative algebra (13-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)

Citations by Year