Edit Profile Grigorchuk, Rostislav Ivanovich Compute Distance To: Compute Author ID: grigorchuk.rostislav-i Published as: Grigorchuk, R.; Grigorchuk, R. I.; Grigorchuk, Rostislav; Grigorchuk, Rostislav I.; Grigorchuk, Rostyslav; Grigorchuk, Rotislav; Grigorchuk, Rotislav I.; Grygorchuk, R. I. Homepage: http://www.math.tamu.edu/~grigorch/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 146 Publications since 1977, including 6 Books Biographic References: 6 Publications all top 5 Co-Authors 41 single-authored 12 Nekrashevych, Volodymyr V. 8 de la Harpe, Pierre 8 Kurchanov, Pavel F. 8 Nagnibeda, Tatiana 8 Savchuk, Dmytro M. 7 Bartholdi, Laurent 7 Šunić, Zoran 7 Żuk, Andrzej 6 Kravchenko, Rostyslav V. 5 Benli, Mustafa Gökhan 5 Stepin, Anatolii Mikhailovich 5 Wilson, John Stuart 4 Dudko, Artem 4 Muntyan, Yevgen 4 Sushchans’kyĭ, Vitaliĭ Ivanovych 3 Bondarenko, Ievgen V. 3 Bowen, Lewis Phylip 3 Ceccherini-Silberstein, Tullio G. 3 Kravchenko, Rostislav 3 Lenz, Daniel H. 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Šuniḱ, Zoran 2 Andriĭchuk, Vasyl’ Ivanovych 2 Drozd, Yuriĭ Anatoliĭovych 2 Futorny, Vyacheslav M. 2 Komarnytskyy, Mykola Ya. 2 Kozlov, Valeriĭ Vasil’evich 2 Novikov, Sergeĭ Petrovich 2 Petravchuk, Anatolii P. 2 Petrichkovich, Vasil’ Mikhaĭlovich 2 Shestakov, Ivan Pavlovich 2 Shumyatsky, Pavel 2 Sinaĭ, Yakov Grigor’evich 2 Vorobets, Yaroslav 2 Zieschang, Heiner 1 Allums, Derek J. 1 Anosov, Dmitriĭ Viktorovich 1 Artamonov, Vyacheslav Aleksandrovich 1 Artemovych, Orest D. 1 Aseev, Sergei M. 1 Babych, V”yacheslav Mykhaĭlovych 1 Banakh, Taras Onufrievich 1 Belyaev, V. M. 1 Bezushchak, Oksana O. 1 Bokut, Leonid A. 1 Bolibrukh, Andreĭ Andreevich 1 Bondarenko, Vitalij M. 1 Bondarenko, Ye. V. 1 Bukhshtaber, Viktor Matveevich 1 Collins, Donald J. 1 Davydov, Alekseĭ Aleksandrovich 1 Delzant, Thomas 1 Dokuchaev, Mikhailo 1 Fomenko, Anatoliĭ Timofeevich 1 Ganiushkin, O. G. 1 Gavrylkiv, Volodymyr M. 1 Golod, Evgeniĭ Solomonovich 1 Gonchar, Andreĭ Aleksandrovich 1 Gorodnii, M. F. 1 Grigor’ev, Dmitriĭ Yur’evich 1 Grines, Vyacheslav Zigmundovich 1 Gubareni, Nadiya M. 1 Gudivok, P. M. 1 Gurevich, B. M. 1 Hanyushkin, O. H. 1 Herfort, Wolfgang N. 1 Ivanov, Sergei Vladimirovich 1 Kac, Victor G. 1 Kaimanovich, Vadim A. 1 Kashu, Alekseĭ Ivanovich 1 Katok, Anatole B. 1 Kemer, Aleksandr Robertovich 1 Kerr, David 1 Kharchenko, Vladislav K. 1 Kharlampovich, Olga G. 1 Kirichenko, Vladimir V. 1 Klimenko, Alexey V. 1 Kolesnikov, Pavel Sergeevich 1 Kolyada, Sergiǐ Fedorovych 1 Krylyuk, Yaroslav S. 1 Kurdachenko, Leonid Andreevich 1 Kutateladze, Semën Samsonovich 1 Kyrychenko, V. M. 1 Latyshev, Viktor Nikolaevich 1 Leemann, Paul-Henry 1 Leksin, Vladimir Pavlovich 1 Leonov, Yu. G. 1 Linnell, Peter Arnold 1 Lubotzky, Alexander 1 Lyman, Fedir M. 1 Lysionok, I. G. 1 Lyubashenko, Volodymyr V. 1 Machi, Antonio 1 Maki, Atsushi 1 Mal’tsev, Yuriĭ Nikolaevich 1 Mamaghani, M. J. 1 Margulis, Grigoriĭ Aleksandrovich 1 Maslov, Viktor Pavlovich 1 Mazorchuk, Volodymyr 1 Medynets, K. S. ...and 53 more Co-Authors all top 5 Serials 11 Mathematical Notes 7 Algebra and Discrete Mathematics 4 International Journal of Algebra and Computation 4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Proceedings of the Steklov Institute of Mathematics 4 Bulletin of Mathematical Sciences 3 Russian Mathematical Surveys 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Functional Analysis and its Applications 3 L’Enseignement Mathématique. 2e Série 3 Naukovyĭ Visnyk Chernivets’kogo Universytetu. Matematyka 3 Groups, Geometry, and Dynamics 2 Israel Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Geometriae Dedicata 2 Mathematics of the USSR. Izvestiya 2 Soviet Mathematics. Doklady 2 Mathematics of the USSR, Sbornik 2 Sbornik: Mathematics 2 Contemporary Mathematics 2 Journal of Modern Dynamics 1 Matematicheskie Zametki 1 Moscow University Mathematics Bulletin 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Algebra and Logic 1 Algebra i Logika 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Annalen 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Geometric and Functional Analysis. GAFA 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Bulletin of the American Mathematical Society. New Series 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Serdica Mathematical Journal 1 Doklady Mathematics 1 Matematychni Studiï 1 Journal of Dynamical and Control Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Journal of Physics A: Mathematical and Theoretical 1 Involve 1 São Paulo Journal of Mathematical Sciences 1 Groups, Complexity, Cryptology 1 Carpathian Mathematical Publications all top 5 Fields 113 Group theory and generalizations (20-XX) 33 Dynamical systems and ergodic theory (37-XX) 26 Abstract harmonic analysis (43-XX) 18 Computer science (68-XX) 16 Combinatorics (05-XX) 13 Manifolds and cell complexes (57-XX) 11 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 9 Measure and integration (28-XX) 8 Topological groups, Lie groups (22-XX) 7 History and biography (01-XX) 6 Functional analysis (46-XX) 5 Associative rings and algebras (16-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 114 Publications have been cited 1,631 times in 827 Documents Cited by ▼ Year ▼ On Burnside’s problem on periodic groups. Zbl 0595.20029Grigorchuk, R. I. 120 1980 Degrees of growth of finitely generated groups, and the theory of invariant means. Zbl 0583.20023Grigorchuk, R. I. 85 1985 Automata, dynamical systems, and groups. Zbl 1155.37311Grigorchuk, R. I.; Nekrashevich, V. V.; Sushchanskii, V. I. 77 2000 The lamplighter group as a group generated by a 2-state automaton, and its spectrum. Zbl 0990.60049Grigorchuk, Rostislav I.; Żuk, Andrzej 75 2001 Just infinite branch groups. Zbl 0982.20024Grigorchuk, R. I. 74 2000 Branch groups. Zbl 1140.20306Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran 67 2003 On problems related to growth, entropy, and spectrum in group theory. Zbl 0949.20033Grigorchuk, R.; de la Harpe, P. 62 1997 From fractal groups to fractal sets. Zbl 1037.20040Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr 54 2003 Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces. Zbl 0968.43002de la Harpe, P.; Grigorchuk, R. I.; Ceccherini-Silberstein, T. 51 1999 Solved and unsolved problems around one group. Zbl 1165.20021Grigorchuk, Rostislav 46 2005 On Milnor’s problem of group growth. Zbl 0547.20025Grigorchuk, R. I. 44 1983 On a torsion-free weakly branch group defined by a three state automaton. Zbl 1070.20031Grigorchuk, Rostislav I.; Żuk, Andrzej 36 2002 On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305Bartholdi, L.; Grigorchuk, R. I. 36 2000 Symmetrical random walks on discrete groups. Zbl 0475.60007Grigorchuk, R. I. 33 1980 On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028Bartholdi, Laurent; Grigorchuk, Rotislav I. 30 2002 On a question of Atiyah. Zbl 0969.57022Grigorchuk, Rostislav I.; Linnell, Peter; Schick, Thomas; Żuk, Andrzej 30 2000 Some topics in the dynamics of group actions on rooted trees. Zbl 1268.20027Grigorchuk, R. I. 29 2011 An example of a finitely presented amenable group not belonging to the class \(EG\). Zbl 0931.43003Grigorchuk, R. I. 29 1998 Asymptotic aspects of Schreier graphs and Hanoi Towers groups. Zbl 1135.20016Grigorchuk, Rostislav; Šuniḱ, Zoran 25 2006 Some results on bounded cohomology. Zbl 0853.20034Grigorchuk, R. I. 24 1995 On growth in group theory. Zbl 0749.20016Grigorchuk, Rostislav I. 23 1991 On rates of growth of p-groups and torsion-free groups. Zbl 0568.20033Grigorchuk, R. I. 21 1985 Lie methods in growth of groups and groups of finite width. Zbl 1032.20026Bartholdi, Laurent; Grigorchuk, Rostislav I. 18 2000 On semigroups with reductions of the degree of growth. Zbl 0643.20036Grigorchuk, R. I. 18 1988 On the growth rates of p-groups and torsion-free groups. Zbl 0583.20024Grigorchuk, R. I. 18 1986 Milnor’s problem on the growth of groups and its consequences. Zbl 1325.20034Grigorchuk, Rostislav 17 2014 Groups of intermediate growth: an introduction. Zbl 1204.20049Grigorchuk, Rostislav; Pak, Igor 17 2008 Self-similarity and branching in group theory. Zbl 1185.20044Grigorchuk, Rostislav; Šunić, Zoran 16 2007 The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps. Zbl 1177.05124Grigorchuk, Rostislav I.; Żuk, Andrzej 16 2004 Schreier spectrum of the Hanoi Towers group on three pegs. Zbl 1170.37008Grigorchuk, Rostislav; Šunić, Zoran 15 2008 Branch groups. Zbl 0994.20027Grigorchuk, R. I. 14 2000 On quadratic equations in free groups. Zbl 0778.20013Grigorchuk, R. I.; Kurchanov, P. F. 14 1992 On algebraic properties of topological full groups. Zbl 1365.37010Grigorchuk, R. I.; Medynets, K. S. 13 2014 A structural property concerning abstract commensurability of subgroups. Zbl 1063.20033Grigorchuk, R. I.; Wilson, J. S. 12 2003 Invariant random subgroups of lamplighter groups. Zbl 1334.43006Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav 11 2015 On the lattice of subgroups of the lamplighter group. Zbl 1317.20032Grigorchuk, R.; Kravchenko, R. 11 2014 On the asymptotic spectrum of random walks on infinite families of graphs. Zbl 0957.60044Grigorchuk, Rostislav I.; Żuk, Andrzej 11 1999 On classification of groups generated by 3-state automata over a 2-letter alphabet. Zbl 1164.20004Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostislav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran 10 2008 Amenable actions of nonamenable groups. Zbl 1127.43001Grigorchuk, R. I.; Nekrashevych, V. Yu. 10 2005 Spectral properties of a torsion-free weakly branch group defined by a three state automaton. Zbl 1057.60045Grigorchuk, Rostislav I.; Żuk, Andrzej 10 2002 On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata. Zbl 1114.20303Grigorchuk, R. I. 10 1999 Complete growth functions of hyperbolic groups. Zbl 0880.20024Grigorchuk, Rostislav; Nagnibeda, Tatiana 10 1997 Self-similar groups acting essentially freely on the boundary of the binary rooted tree. Zbl 1308.20025Grigorchuk, Rostislav; Savchuk, Dmytro 9 2014 Self-similar groups, operator algebras and Schur complement. Zbl 1133.46029Grigorchuk, Rostislav; Nekrashevych, Volodymyr 9 2007 Limit behaviour of exponential growth rates for finitely generated groups. Zbl 1004.20018Grigorchuk, Rotislav; de la Harpe, Pierre 9 2001 Growth and amenability of a semigroup and its group of quotients. Zbl 0726.43002Grigorchuk, R. I. 9 1990 Supramenability and the problem of occurrence of free semigroups. Zbl 0626.43003Grigorchuk, R. I. 9 1987 Ergodic properties of boundary actions and the Nielsen-Schreier theory. Zbl 1278.37034Grigorchuk, Rostislav; Kaimanovich, Vadim A.; Nagnibeda, Tatiana 8 2012 The uniqueness of the actions of certain branch groups on rooted trees. Zbl 1052.20023Grigorchuk, R. I.; Wilson, J. S. 8 2003 An example of an indexed language of intermediate growth. Zbl 0913.68121Grigorchuk, R. I.; Machì, A. 8 1999 Combinatorial group theory and applications to geometry. Transl. from the Russian by P. M. Cohn. 2nd printing of the 1st ed. 1993. Zbl 0997.20500Collins, D. J.; Grigorchuk, R. I.; Kurchanov, P. F.; Zieschang, H. 8 1998 On the gap conjecture concerning group growth. Zbl 1323.20035Grigorchuk, Rostislav 7 2014 Ergodic theorems for actions of free groups and free semigroups. Zbl 0957.22006Grigorchuk, R. I. 7 1999 Amenability and growth of one-relator groups. Zbl 0897.20022Ceccherini-Silberstein, Tullio G.; Grigorchuk, Rostislav I. 7 1997 Bounded cohomology of group constructions. Zbl 0873.20039Grigorchuk, R. I. 7 1996 A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014Grigorchuk, R. I.; Lysionok, I. G. 7 1992 Construction of p-groups of intermediate growth that have a continuum of quotient groups. Zbl 0573.20037Grigorchuk, R. I. 7 1984 Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. Zbl 1383.05196Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana 6 2018 One-relator groups of exponential growth have uniformly exponential growth. Zbl 0999.20033Grigorchuk, R. I.; de la Harpe, P. 6 2001 On the Hilbert-Poincaré series of graded algebras associated with groups. Zbl 0695.16009Grigorchuk, R. I. 6 1990 Some questions of group theory related to geometry. Zbl 0781.20023Grigorchuk, R. I.; Kurchanov, P. F. 6 1990 Joint spectrum and the infinite dihedral group. Zbl 06798826Grigorchuk, Rostislav; Yang, Rongwei 5 2017 Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008Bartholdi, Laurent; Grigorchuk, Rostislav I. 5 2000 On a problem of Day on nonelementary amenable groups in the class of finitely presented groups. Zbl 0930.43001Grigorchuk, R. I. 5 1996 A group of intermediate growth acting by homomorphisms on the real line. Zbl 0806.20027Grigorchuk, R. I.; Maki, A. 5 1993 Cancellative semigroups of power growth. Zbl 0655.20044Grigorchuk, R. I. 5 1988 Schreier graphs of Grigorchuk’s group and a subshift associated to a nonprimitive substitution. Zbl 1371.05123Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana 4 2017 Amenability and ergodic properties of topological groups: from Bogolyubov onwards. Zbl 1397.43001Grigorchuk, Rostislav; de la Harpe, Pierre 4 2017 Ergodic decomposition of group actions on rooted trees. Zbl 1362.37013Grigorchuk, Rostislav; Savchuk, Dmytro 4 2016 Universal groups of intermediate growth and their invariant random subgroups. Zbl 1365.20042Benli, Mustafa Gökhan; Grigorchuk, Rostislav; Nagnibeda, Tatiana 4 2015 Amenable groups without finitely presented amenable covers. Zbl 1352.20025Benli, Mustafa Gökhan; Grigorchuk, Rostislav; de la Harpe, Pierre 4 2013 Groups generated by 3-state automata over a 2-letter alphabet. I. Zbl 1184.20026Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostyslav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran 4 2007 Parabolic subgroups and representations of branch groups. Zbl 1011.20027Bartholdi, Laurent; Grigorchuk, Rostislav I. 4 2001 The profinite completion of certain torsion \(p\)-groups. Zbl 0964.20018Grigorchuk, R. I.; Herfort, W. N.; Zalesskii, P. A. 4 2000 On use of iterates of endomorphisms for constructing groups with specific properties. Zbl 0932.20033Grigorchuk, R. I.; Mamaghani, M. J. 4 1997 Growth functions, rewriting systems, and the Euler characteristic. Zbl 0860.68084Grigorchuk, R. I. 4 1995 Certain questions of group theory connected with geometry. Zbl 0748.20021Grigorchuk, R. I.; Kurchanov, P. F. 4 1990 Just-infinite \(C^\ast\)-algebras. Zbl 1396.46044Grigorchuk, Rostislav; Musat, Magdalena; Rørdam, Mikael 3 2018 On spectra of Koopman, groupoid and quasi-regular representations. Zbl 06991096Dudko, Artem; Grigorchuk, Rostislav 3 2017 On just-infiniteness of locally finite groups and their \(C^*\)-algebras. Zbl 1371.46042Belyaev, V.; Grigorchuk, R.; Shumyatsky, P. 3 2017 Lamplighter groups, de Brujin graphs, spider-web graphs and their spectra. Zbl 1345.05043Grigorchuk, R.; Leemann, P.-H.; Nagnibeda, T. 3 2016 Diameters, distortion, and eigenvalues. Zbl 1246.05046Grigorchuk, Rostislav I.; Nowak, Piotr W. 3 2012 The spectral problem, substitutions and iterated monodromy. Zbl 1138.20025Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran 3 2007 The conjugacy problem for certain branch groups. Zbl 1001.20031Grigorchuk, R. I.; Wilson, J. S. 3 2000 An ergodic theorem for the action of a free semigroup. Zbl 1172.37303Grigorchuk, R. I. 3 2000 On Tychonoff groups. Zbl 0908.43001Grigorchuk, R. I. 3 1998 Weight functions on groups and an amenability criterion for Beurling algebras. Zbl 0905.43001Grigorchuk, R. I. 3 1996 On the width of elements in free groups. Zbl 0749.20005Grigorchuk, R. I.; Kurchanov, P. F. 3 1991 On the topological and metric types of surfaces regularly covering a closed surface. Zbl 0702.57001Grigorchuk, R. I. 3 1990 Supramenability and an imbedding problem of free semigroups. Zbl 0616.43002Grigorchuk, R. I. 3 1987 A connection between algorithmic problems and entropy characteristics of groups. Zbl 0596.20022Grigorchuk, R. I. 3 1985 On diagonal actions of branch groups and the corresponding characters. Zbl 06856658Dudko, Artem; Grigorchuk, Rostislav 2 2018 Characteristic random subgroups of geometric groups and free abelian groups of infinite rank. Zbl 1373.20093Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav 2 2017 From self-similar groups to self-similar sets and spectra. Zbl 1359.37008Grigorchuk, Rostislav; Nekrashevych, Volodymyr; Šunić, Zoran 2 2015 The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters. Zbl 1297.20025Grigorchuk, R. I.; Krylyuk, Ya. S. 2 2012 The rank gradient and the lamplighter group. Zbl 1248.20029Allums, Derek J.; Grigorchuk, Rostislav I. 2 2011 Groups generated by 3-state automata over a 2-letter alphabet. II. Zbl 1185.20029Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Šunić, Z. 2 2009 On Dehn functions of infinite presentations of groups. Zbl 1225.20031Grigorchuk, Rostislav I.; Ivanov, Sergei V. 2 2009 A minimality property of certain branch groups. Zbl 1139.20302Grigorchuk, R. I.; Wilson, J. S. 2 2004 The group of automorphisms of a 3-generated 2-group of intermediate growth. Zbl 1088.20020Grigorchuk, R. I.; Sidki, S. N. 2 2004 Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. Zbl 1383.05196Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana 6 2018 Just-infinite \(C^\ast\)-algebras. Zbl 1396.46044Grigorchuk, Rostislav; Musat, Magdalena; Rørdam, Mikael 3 2018 On diagonal actions of branch groups and the corresponding characters. Zbl 06856658Dudko, Artem; Grigorchuk, Rostislav 2 2018 Joint spectrum and the infinite dihedral group. Zbl 06798826Grigorchuk, Rostislav; Yang, Rongwei 5 2017 Schreier graphs of Grigorchuk’s group and a subshift associated to a nonprimitive substitution. Zbl 1371.05123Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana 4 2017 Amenability and ergodic properties of topological groups: from Bogolyubov onwards. Zbl 1397.43001Grigorchuk, Rostislav; de la Harpe, Pierre 4 2017 On spectra of Koopman, groupoid and quasi-regular representations. Zbl 06991096Dudko, Artem; Grigorchuk, Rostislav 3 2017 On just-infiniteness of locally finite groups and their \(C^*\)-algebras. Zbl 1371.46042Belyaev, V.; Grigorchuk, R.; Shumyatsky, P. 3 2017 Characteristic random subgroups of geometric groups and free abelian groups of infinite rank. Zbl 1373.20093Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav 2 2017 On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups. Zbl 1388.20017Dudko, Artem; Grigorchuk, Rostislav 1 2017 Combinatorics of the subshift associated with Grigorchuk’s group. Zbl 1380.37027Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana 1 2017 On just infinite periodic locally soluble groups. Zbl 1423.20036Grigorchuk, R.; Shumyatsky, P. 1 2017 Ergodic decomposition of group actions on rooted trees. Zbl 1362.37013Grigorchuk, Rostislav; Savchuk, Dmytro 4 2016 Lamplighter groups, de Brujin graphs, spider-web graphs and their spectra. Zbl 1345.05043Grigorchuk, R.; Leemann, P.-H.; Nagnibeda, T. 3 2016 Self-similar groups, automatic sequences, and unitriangular representations. Zbl 1394.20018Grigorchuk, R.; Leonov, Y.; Nekrashevych, V.; Sushchansky, V. 1 2016 Invariant random subgroups of lamplighter groups. Zbl 1334.43006Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav 11 2015 Universal groups of intermediate growth and their invariant random subgroups. Zbl 1365.20042Benli, Mustafa Gökhan; Grigorchuk, Rostislav; Nagnibeda, Tatiana 4 2015 From self-similar groups to self-similar sets and spectra. Zbl 1359.37008Grigorchuk, Rostislav; Nekrashevych, Volodymyr; Šunić, Zoran 2 2015 Milnor’s problem on the growth of groups and its consequences. Zbl 1325.20034Grigorchuk, Rostislav 17 2014 On algebraic properties of topological full groups. Zbl 1365.37010Grigorchuk, R. I.; Medynets, K. S. 13 2014 On the lattice of subgroups of the lamplighter group. Zbl 1317.20032Grigorchuk, R.; Kravchenko, R. 11 2014 Self-similar groups acting essentially freely on the boundary of the binary rooted tree. Zbl 1308.20025Grigorchuk, Rostislav; Savchuk, Dmytro 9 2014 On the gap conjecture concerning group growth. Zbl 1323.20035Grigorchuk, Rostislav 7 2014 Amenable groups without finitely presented amenable covers. Zbl 1352.20025Benli, Mustafa Gökhan; Grigorchuk, Rostislav; de la Harpe, Pierre 4 2013 Ergodic properties of boundary actions and the Nielsen-Schreier theory. Zbl 1278.37034Grigorchuk, Rostislav; Kaimanovich, Vadim A.; Nagnibeda, Tatiana 8 2012 Diameters, distortion, and eigenvalues. Zbl 1246.05046Grigorchuk, Rostislav I.; Nowak, Piotr W. 3 2012 The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters. Zbl 1297.20025Grigorchuk, R. I.; Krylyuk, Ya. S. 2 2012 Some topics in the dynamics of group actions on rooted trees. Zbl 1268.20027Grigorchuk, R. I. 29 2011 The rank gradient and the lamplighter group. Zbl 1248.20029Allums, Derek J.; Grigorchuk, Rostislav I. 2 2011 Groups generated by 3-state automata over a 2-letter alphabet. II. Zbl 1185.20029Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Šunić, Z. 2 2009 On Dehn functions of infinite presentations of groups. Zbl 1225.20031Grigorchuk, Rostislav I.; Ivanov, Sergei V. 2 2009 Groups of intermediate growth: an introduction. Zbl 1204.20049Grigorchuk, Rostislav; Pak, Igor 17 2008 Schreier spectrum of the Hanoi Towers group on three pegs. Zbl 1170.37008Grigorchuk, Rostislav; Šunić, Zoran 15 2008 On classification of groups generated by 3-state automata over a 2-letter alphabet. Zbl 1164.20004Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostislav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran 10 2008 Homomorphic images of branch groups, and Serre’s property (FA). Zbl 1139.20021Delzant, Thomas; Grigorchuk, Rostislav 1 2008 Self-similarity and branching in group theory. Zbl 1185.20044Grigorchuk, Rostislav; Šunić, Zoran 16 2007 Self-similar groups, operator algebras and Schur complement. Zbl 1133.46029Grigorchuk, Rostislav; Nekrashevych, Volodymyr 9 2007 Groups generated by 3-state automata over a 2-letter alphabet. I. Zbl 1184.20026Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostyslav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran 4 2007 The spectral problem, substitutions and iterated monodromy. Zbl 1138.20025Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran 3 2007 Asymptotic aspects of Schreier graphs and Hanoi Towers groups. Zbl 1135.20016Grigorchuk, Rostislav; Šuniḱ, Zoran 25 2006 Topological and asymptotic aspects of group theory. AMS special session on probabilistic and asymptotic aspects of group theory, Athens, OH, USA, March 26–27, 2004 and the AMS special session on topological aspects of group theory, Nashville, TN, USA, October 16–17, 2004. Zbl 1085.20501Grigorchuk, Rostislav (ed.); Mihalik, Michael (ed.); Sapir, Mark (ed.); Šuniḱ, Zoran (ed.) 1 2006 Solved and unsolved problems around one group. Zbl 1165.20021Grigorchuk, Rostislav 46 2005 Amenable actions of nonamenable groups. Zbl 1127.43001Grigorchuk, R. I.; Nekrashevych, V. Yu. 10 2005 The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps. Zbl 1177.05124Grigorchuk, Rostislav I.; Żuk, Andrzej 16 2004 A minimality property of certain branch groups. Zbl 1139.20302Grigorchuk, R. I.; Wilson, J. S. 2 2004 The group of automorphisms of a 3-generated 2-group of intermediate growth. Zbl 1088.20020Grigorchuk, R. I.; Sidki, S. N. 2 2004 Branch groups. Zbl 1140.20306Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran 67 2003 From fractal groups to fractal sets. Zbl 1037.20040Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr 54 2003 A structural property concerning abstract commensurability of subgroups. Zbl 1063.20033Grigorchuk, R. I.; Wilson, J. S. 12 2003 The uniqueness of the actions of certain branch groups on rooted trees. Zbl 1052.20023Grigorchuk, R. I.; Wilson, J. S. 8 2003 On a torsion-free weakly branch group defined by a three state automaton. Zbl 1070.20031Grigorchuk, Rostislav I.; Żuk, Andrzej 36 2002 On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028Bartholdi, Laurent; Grigorchuk, Rotislav I. 30 2002 Spectral properties of a torsion-free weakly branch group defined by a three state automaton. Zbl 1057.60045Grigorchuk, Rostislav I.; Żuk, Andrzej 10 2002 The lamplighter group as a group generated by a 2-state automaton, and its spectrum. Zbl 0990.60049Grigorchuk, Rostislav I.; Żuk, Andrzej 75 2001 Limit behaviour of exponential growth rates for finitely generated groups. Zbl 1004.20018Grigorchuk, Rotislav; de la Harpe, Pierre 9 2001 One-relator groups of exponential growth have uniformly exponential growth. Zbl 0999.20033Grigorchuk, R. I.; de la Harpe, P. 6 2001 Parabolic subgroups and representations of branch groups. Zbl 1011.20027Bartholdi, Laurent; Grigorchuk, Rostislav I. 4 2001 Automata, dynamical systems, and groups. Zbl 1155.37311Grigorchuk, R. I.; Nekrashevich, V. V.; Sushchanskii, V. I. 77 2000 Just infinite branch groups. Zbl 0982.20024Grigorchuk, R. I. 74 2000 On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305Bartholdi, L.; Grigorchuk, R. I. 36 2000 On a question of Atiyah. Zbl 0969.57022Grigorchuk, Rostislav I.; Linnell, Peter; Schick, Thomas; Żuk, Andrzej 30 2000 Lie methods in growth of groups and groups of finite width. Zbl 1032.20026Bartholdi, Laurent; Grigorchuk, Rostislav I. 18 2000 Branch groups. Zbl 0994.20027Grigorchuk, R. I. 14 2000 Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008Bartholdi, Laurent; Grigorchuk, Rostislav I. 5 2000 The profinite completion of certain torsion \(p\)-groups. Zbl 0964.20018Grigorchuk, R. I.; Herfort, W. N.; Zalesskii, P. A. 4 2000 The conjugacy problem for certain branch groups. Zbl 1001.20031Grigorchuk, R. I.; Wilson, J. S. 3 2000 An ergodic theorem for the action of a free semigroup. Zbl 1172.37303Grigorchuk, R. I. 3 2000 The group of asynchronous automata and rational homeomorphisms of the Cantor set. Zbl 0988.37014Grigorchuk, R. I.; Nekrashevich, V. V. 2 2000 Dynamical systems, automata, and infinite groups. Collected papers. Zbl 0967.00015Grigorchuk, R. I. (ed.) 1 2000 Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces. Zbl 0968.43002de la Harpe, P.; Grigorchuk, R. I.; Ceccherini-Silberstein, T. 51 1999 On the asymptotic spectrum of random walks on infinite families of graphs. Zbl 0957.60044Grigorchuk, Rostislav I.; Żuk, Andrzej 11 1999 On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata. Zbl 1114.20303Grigorchuk, R. I. 10 1999 An example of an indexed language of intermediate growth. Zbl 0913.68121Grigorchuk, R. I.; Machì, A. 8 1999 Ergodic theorems for actions of free groups and free semigroups. Zbl 0957.22006Grigorchuk, R. I. 7 1999 An example of a finitely presented amenable group not belonging to the class \(EG\). Zbl 0931.43003Grigorchuk, R. I. 29 1998 Combinatorial group theory and applications to geometry. Transl. from the Russian by P. M. Cohn. 2nd printing of the 1st ed. 1993. Zbl 0997.20500Collins, D. J.; Grigorchuk, R. I.; Kurchanov, P. F.; Zieschang, H. 8 1998 On Tychonoff groups. Zbl 0908.43001Grigorchuk, R. I. 3 1998 On amenability of semigroups with cancellation. Zbl 1023.43001Grigorchuk, R. I.; Stepin, A. M. 2 1998 On problems related to growth, entropy, and spectrum in group theory. Zbl 0949.20033Grigorchuk, R.; de la Harpe, P. 62 1997 Complete growth functions of hyperbolic groups. Zbl 0880.20024Grigorchuk, Rostislav; Nagnibeda, Tatiana 10 1997 Amenability and growth of one-relator groups. Zbl 0897.20022Ceccherini-Silberstein, Tullio G.; Grigorchuk, Rostislav I. 7 1997 On use of iterates of endomorphisms for constructing groups with specific properties. Zbl 0932.20033Grigorchuk, R. I.; Mamaghani, M. J. 4 1997 Bounded cohomology of group constructions. Zbl 0873.20039Grigorchuk, R. I. 7 1996 On a problem of Day on nonelementary amenable groups in the class of finitely presented groups. Zbl 0930.43001Grigorchuk, R. I. 5 1996 Weight functions on groups and an amenability criterion for Beurling algebras. Zbl 0905.43001Grigorchuk, R. I. 3 1996 Some results on bounded cohomology. Zbl 0853.20034Grigorchuk, R. I. 24 1995 Growth functions, rewriting systems, and the Euler characteristic. Zbl 0860.68084Grigorchuk, R. I. 4 1995 A group of intermediate growth acting by homomorphisms on the real line. Zbl 0806.20027Grigorchuk, R. I.; Maki, A. 5 1993 On quadratic equations in free groups. Zbl 0778.20013Grigorchuk, R. I.; Kurchanov, P. F. 14 1992 A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014Grigorchuk, R. I.; Lysionok, I. G. 7 1992 Equivalence of homomorphisms of surface groups to free groups and some properties of 3-dimensional handlebodies. Zbl 0792.20022Grigorchuk, R. I.; Kurchanov, P. F.; Zieschang, H. 1 1992 On growth in group theory. Zbl 0749.20016Grigorchuk, Rostislav I. 23 1991 On the width of elements in free groups. Zbl 0749.20005Grigorchuk, R. I.; Kurchanov, P. F. 3 1991 Width of elements in free groups. Zbl 0786.20011Grigorchuk, R. I.; Kurchanov, P. F. 1 1991 Growth and amenability of a semigroup and its group of quotients. Zbl 0726.43002Grigorchuk, R. I. 9 1990 On the Hilbert-Poincaré series of graded algebras associated with groups. Zbl 0695.16009Grigorchuk, R. I. 6 1990 Some questions of group theory related to geometry. Zbl 0781.20023Grigorchuk, R. I.; Kurchanov, P. F. 6 1990 Certain questions of group theory connected with geometry. Zbl 0748.20021Grigorchuk, R. I.; Kurchanov, P. F. 4 1990 On the topological and metric types of surfaces regularly covering a closed surface. Zbl 0702.57001Grigorchuk, R. I. 3 1990 Classification of epimorphisms of fundamental groups of surfaces onto free groups. Zbl 0810.20032Grigorchuk, R. I.; Kurchanov, P. F. 2 1990 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 789 Authors 39 Grigorchuk, Rostislav Ivanovich 23 Bartholdi, Laurent 21 Myasnikov, Alexei G. 21 Nekrashevych, Volodymyr V. 18 Ceccherini-Silberstein, Tullio G. 18 D’angeli, Daniele 13 Erschler, Anna 12 Rodaro, Emanuele 12 Woess, Wolfgang 11 Šunić, Zoran 10 Donno, Alfredo 10 Scarabotti, Fabio 10 Woryna, Adam 9 Bondarenko, Ievgen V. 9 Kharlampovich, Olga G. 9 Nagnibeda, Tatiana 9 Savchuk, Dmytro M. 8 Glasner, Yair 8 Sushchans’kyĭ, Vitaliĭ Ivanovych 7 Klimann, Ines 7 Osin, Denis V. 7 Petrogradsky, Victor Mikhaylovich 7 Sidki, Said Najati 6 Abért, Miklós 6 Bowen, Lewis Phylip 6 Brieussel, Jérémie 6 de la Harpe, Pierre 6 Elder, Murray J. 6 Fernández-Alcober, Gustavo A. 6 Garrido, Alejandra 6 Monod, Nicolas 6 Ol’shanskiĭ, Aleksandr Yur’evich 6 Pak, Igor 6 Sambusetti, Andrea 6 Sapir, Mark Valentinovich 6 Steinberg, Benjamin 6 Thomas, Simon R. 6 Tolli, Filippo 6 Virág, Bálint 5 Arzhantseva, Goulnara N. 5 Cain, Alan J. 5 Dudko, Artem 5 Kaimanovich, Vadim A. 5 Kechris, Alexander S. 5 Kravchenko, Rostyslav V. 5 Leonov, Yu. G. 5 Machi, Antonio 5 Nowak, Piotr W. 5 Shalev, Aner 5 Sidki, Said N. 5 Skipper, Rachel 5 Vorobets, Yaroslav 5 Wächter, Jan Philipp 4 Ara, Pere 4 Barnea, Yiftach 4 Benli, Mustafa Gökhan 4 Burillo, José 4 Cashen, Christopher H. 4 Cavaleri, Matteo 4 de Cornulier, Yves 4 Elek, Gábor 4 Guba, Victor S. 4 Hartung, René 4 Jespers, Eric 4 Kagan, Dmitrii Z. 4 Kapovich, Ilya 4 Lawson, Mark Verus 4 Lenz, Daniel H. 4 Lysenok, Igor’ Geront’evich 4 Matte Bon, Nicolás 4 Okniński, Jan 4 Picantin, Matthieu 4 Pittet, Christophe 4 Rozhkov, A. V. 4 Samet-Vaillant, Aryeh Y. 4 Seifter, Norbert 4 Shestakov, Ivan Pavlovich 4 Shneerson, L. M. 4 Shumyatsky, Pavel 4 Steinhurst, Benjamin 4 Uria-Albizuri, Jone 4 Wilson, John Stuart 4 Yang, Rongwei 4 Żuk, Andrzej 3 Akhmedov, Azer 3 Biringer, Ian 3 Bou-Rabee, Khalid 3 Bridson, Martin R. 3 Brunner, Andrew Michael 3 Bufetov, Aleksandr Igorevich 3 Ciobanu, Laura 3 Damanik, David 3 Dobrynina, Irina Vasil’evna 3 Donnelly, John B. 3 Donoven, Casey 3 Francoeur, Dominik 3 Gilman, Robert H. 3 Giordano Bruno, Anna 3 Grabowski, Łukasz 3 Gray, Robert D. ...and 689 more Authors all top 5 Cited in 172 Serials 82 Journal of Algebra 50 International Journal of Algebra and Computation 42 Groups, Geometry, and Dynamics 31 Transactions of the American Mathematical Society 28 Geometriae Dedicata 23 Israel Journal of Mathematics 23 Proceedings of the American Mathematical Society 23 Journal of Mathematical Sciences (New York) 19 Journal of Functional Analysis 18 Mathematical Notes 18 Theoretical Computer Science 15 Advances in Mathematics 14 Mathematische Annalen 14 European Journal of Combinatorics 13 Annales de l’Institut Fourier 12 Ergodic Theory and Dynamical Systems 11 Inventiones Mathematicae 10 Semigroup Forum 10 Proceedings of the Steklov Institute of Mathematics 9 Duke Mathematical Journal 9 Journal of Pure and Applied Algebra 9 Topology and its Applications 9 Journal of Group Theory 8 Communications in Algebra 8 Expositiones Mathematicae 7 The Annals of Probability 7 Archiv der Mathematik 7 Bulletin of Mathematical Sciences 6 Communications in Mathematical Physics 6 Journal of the London Mathematical Society. Second Series 6 Geometric and Functional Analysis. GAFA 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal d’Analyse Mathématique 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Algebra and Logic 5 Bulletin of the London Mathematical Society 5 Journal of Combinatorial Theory. Series B 5 Mathematische Zeitschrift 5 Monatshefte für Mathematik 5 Journal of Algebra and its Applications 5 Journal of Modern Dynamics 4 Discrete Mathematics 4 Journal of Mathematical Analysis and Applications 4 Compositio Mathematica 4 Memoirs of the American Mathematical Society 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Probability Theory and Related Fields 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 International Journal of Group Theory 3 Discrete Applied Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Functional Analysis and its Applications 3 Journal of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Russian Journal of Mathematical Physics 3 Geometry & Topology 3 Annals of Mathematics. Second Series 3 Journal of Topology and Analysis 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 2 Illinois Journal of Mathematics 2 Journal of Computer and System Sciences 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Advances in Applied Mathematics 2 Annals of Pure and Applied Logic 2 Revista Matemática Iberoamericana 2 Information and Computation 2 Forum Mathematicum 2 Experimental Mathematics 2 Journal of Algebraic Combinatorics 2 Topology Proceedings 2 Journal de Théorie des Nombres de Bordeaux 2 St. Petersburg Mathematical Journal 2 Annales Mathématiques Blaise Pascal 2 Fractals 2 Electronic Research Announcements of the American Mathematical Society 2 Theory of Computing Systems 2 Conformal Geometry and Dynamics 2 LMS Journal of Computation and Mathematics 2 Journal of Dynamical and Control Systems 2 Algebraic & Geometric Topology 2 Journal of the Australian Mathematical Society 2 Algebra and Discrete Mathematics 2 Groups, Complexity, Cryptology 2 Carpathian Mathematical Publications 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France ...and 72 more Serials all top 5 Cited in 47 Fields 556 Group theory and generalizations (20-XX) 154 Combinatorics (05-XX) 145 Dynamical systems and ergodic theory (37-XX) 107 Computer science (68-XX) 98 Abstract harmonic analysis (43-XX) 89 Topological groups, Lie groups (22-XX) 74 Probability theory and stochastic processes (60-XX) 69 Manifolds and cell complexes (57-XX) 53 Functional analysis (46-XX) 43 Associative rings and algebras (16-XX) 35 Measure and integration (28-XX) 32 Mathematical logic and foundations (03-XX) 31 Operator theory (47-XX) 29 Differential geometry (53-XX) 27 Number theory (11-XX) 22 Nonassociative rings and algebras (17-XX) 20 General topology (54-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Algebraic geometry (14-XX) 10 Functions of a complex variable (30-XX) 10 Quantum theory (81-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Algebraic topology (55-XX) 8 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Difference and functional equations (39-XX) 6 Convex and discrete geometry (52-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Potential theory (31-XX) 5 Information and communication theory, circuits (94-XX) 4 Category theory; homological algebra (18-XX) 4 Operations research, mathematical programming (90-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 \(K\)-theory (19-XX) 2 Real functions (26-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline