Edit Profile (opens in new tab) Bartholdi, Laurent Co-Author Distance Author ID: bartholdi.laurent Published as: Bartholdi, Laurent; Bartholdi, L. Documents Indexed: 115 Publications since 1997, including 18 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 40 Reviews Co-Authors: 71 Co-Authors with 76 Joint Publications 1,595 Co-Co-Authors 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 all top 5 Fields 82 Group theory and generalizations (20-XX) 21 Computer science (68-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Combinatorics (05-XX) 15 Associative rings and algebras (16-XX) 12 Nonassociative rings and algebras (17-XX) 11 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) 7 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 3 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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