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Grigorchuk, Rostislav Ivanovich

Author ID: grigorchuk.rostislav-i Recent zbMATH articles by "Grigorchuk, Rostislav Ivanovich"
Published as: Grigorchuk, R. I.; Grigorchuk, Rostislav; Grigorchuk, Rostislav I.; Grigorchuk, R.; Grygorchuk, R. I.; Grigorchuk, Rotislav I.; Grigorchuk, Rostyslav; Grigorchuk, Rotislav
Homepage: http://www.math.tamu.edu/~grigorch/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

42 single-authored
12 Nekrashevych, Volodymyr V.
11 Nagnibeda, Tatiana V.
10 Savchuk, Dmytro M.
9 de la Harpe, Pierre
8 Bartholdi, Laurent
8 Kurchanov, Pavel F.
7 Dudko, Artem
7 Šunić, Zoran
7 Żuk, Andrzej
5 Benli, Mustafa Gökhan
5 Kravchenko, Rostyslav V.
5 Stëpin, Anatoliĭ Mikhaĭlovich
5 Vorobets, Yaroslav
5 Wilson, John Stuart
4 Ceccherini-Silberstein, Tullio G.
4 Lenz, Daniel H.
4 Muntyan, Yevgen
4 Petravchuk, Anatolii P.
4 Sushchans’kyĭ, Vitaliĭ Ivanovych
3 Artemovych, Orest Dem”yanovych
3 Bezushchak, Oksana O.
3 Bondarenko, Ievgen V.
3 Bowen, Lewis Phylip
3 Kurdachenko, Leonid Andriĭovych
3 Oliynyk, A. S.
3 Ol’shanskiĭ, Aleksandr Yur’evich
3 Sinaĭ, Yakov Grigor’evich
3 Šuniḱ, Zoran
2 Andriĭchuk, Vasyl’ Ivanovych
2 Bondarenko, Vitalij M.
2 Drozd, Yuriĭ Anatoliĭovych
2 Futorny, Vyacheslav M.
2 Grines, Vyacheslav Zigmundovich
2 Gurevich, Boris
2 Kogan, Roman
2 Komarnytsky, M. Ya.
2 Kozlov, Valeriĭ Vasil’evich
2 Leemann, Paul-Henry
2 Lukashova, Tetyana D.
2 Novikov, Sergeĭ Petrovich
2 Oliynyk, B. V.
2 Petrichkovich, Vasil’ Mikhaĭlovich
2 Pypka, Alexsandr A.
2 Quint, Jean-François
2 Semko, Nikolaj N.
2 Shaikh, Asif Ali
2 Sharyn, Sergii
2 Shestakov, Ivan Pavlovich
2 Shumyatsky, Pavel
2 Subbotin, Igor Yakov
2 Tylyshchak, O. A.
2 Zagorodnyuk, Andriy V.
2 Zarichnyi, Michael Mikhailovich
2 Zatorsky, Roman A.
2 Zhirov, Aleksei Yu.
2 Zhuchok, Anatolii V.
2 Zieschang, Heiner
1 Ageev, Oleg N.
1 Allums, Derek J.
1 Anosov, Dmitriĭ Viktorovich
1 Artamonov, Vyacheslav Aleksandrovich
1 Aseev, Sergei M.
1 Babych, V”yacheslav Mykhaĭlovych
1 Banakh, Taras Onufrievich
1 Bekka, Mohammed el Bachir
1 Belyaev, Vissarion V.
1 Bokut, Leonid A.
1 Bolibrukh, Andreĭ Andreevich
1 Bondarenko, Ye. V.
1 Bukhshtaber, Viktor Matveevich
1 Collins, Donald J.
1 Coornaert, Michel
1 Dang, Nguyen-Bac
1 Davydov, Alekseĭ Aleksandrovich
1 Delzant, Thomas
1 Dixon, Martyn Russell
1 Dokuchaev, Mikhailo
1 Drushlyak, Maryna G.
1 Efremova, Lyudmila S.
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 Gubareni, Nadiya M.
1 Gudivok, P. M.
1 Hanyushkin, O. H.
1 Helemskii, Alexander Ya.
1 Herfort, Wolfgang N.
1 Ivanov, Sergei Vladimirovich
1 Kac, Victor
1 Kaimanovich, Vadim A.
1 Kashin, Boris Sergeevich
1 Kashu, Alekseĭ Ivanovich
1 Katok, Anatole
1 Kemer, Aleksandr Robertovich
1 Kerr, David
1 Kharchenko, Vladislav K.
...and 95 more Co-Authors
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Serials

11 Mathematical Notes
10 Algebra and Discrete Mathematics
4 Russian Mathematical Surveys
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 Ukraïns’kyĭ Matematychnyĭ Zhurnal
3 Functional Analysis and its Applications
3 Transactions of the American Mathematical Society
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 Advances in Mathematics
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 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 Moscow Mathematical Society
1 European Journal of Combinatorics
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Zapiski Nauchnykh Seminarov POMI
1 Journal of Mathematical Sciences (New York)
1 Serdica Mathematical Journal
1 Izvestiya: Mathematics
1 Doklady Mathematics
1 Matematychni Studiï
1 Journal of Dynamical and Control Systems
1 Journal of the Australian Mathematical Society
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
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 2,100 times in 1,077 Documents Cited by Year
On Burnside’s problem on periodic groups. Zbl 0595.20029
Grigorchuk, R. I.
141
1980
Automata, dynamical systems, and groups. Zbl 1155.37311
Grigorchuk, R. I.; Nekrashevich, V. V.; Sushchanskii, V. I.
113
2000
Just infinite branch groups. Zbl 0982.20024
Grigorchuk, R. I.
97
2000
Degrees of growth of finitely generated groups, and the theory of invariant means. Zbl 0583.20023
Grigorchuk, R. I.
97
1985
Branch groups. Zbl 1140.20306
Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran
96
2003
The lamplighter group as a group generated by a 2-state automaton, and its spectrum. Zbl 0990.60049
Grigorchuk, Rostislav I.; Żuk, Andrzej
89
2001
On problems related to growth, entropy, and spectrum in group theory. Zbl 0949.20033
Grigorchuk, R.; de la Harpe, P.
71
1997
From fractal groups to fractal sets. Zbl 1037.20040
Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr
67
2003
Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces. Zbl 0968.43002
de la Harpe, P.; Grigorchuk, R. I.; Ceccherini-Silberstein, T.
60
1999
Solved and unsolved problems around one group. Zbl 1165.20021
Grigorchuk, Rostislav
56
2005
On Milnor’s problem of group growth. Zbl 0547.20025
Grigorchuk, R. I.
49
1983
On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305
Bartholdi, L.; Grigorchuk, R. I.
47
2000
On a torsion-free weakly branch group defined by a three state automaton. Zbl 1070.20031
Grigorchuk, Rostislav I.; Żuk, Andrzej
46
2002
Some topics in the dynamics of group actions on rooted trees. Zbl 1268.20027
Grigorchuk, R. I.
43
2011
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
39
2002
On a question of Atiyah. Zbl 0969.57022
Grigorchuk, Rostislav I.; Linnell, Peter; Schick, Thomas; Żuk, Andrzej
37
2000
Symmetrical random walks on discrete groups. Zbl 0475.60007
Grigorchuk, R. I.
36
1980
Asymptotic aspects of Schreier graphs and Hanoi Towers groups. Zbl 1135.20016
Grigorchuk, Rostislav; Šuniḱ, Zoran
35
2006
Some results on bounded cohomology. Zbl 0853.20034
Grigorchuk, R. I.
34
1995
An example of a finitely presented amenable group not belonging to the class \(EG\). Zbl 0931.43003
Grigorchuk, R. I.
33
1998
On growth in group theory. Zbl 0749.20016
Grigorchuk, Rostislav I.
30
1991
On rates of growth of p-groups and torsion-free groups. Zbl 0568.20033
Grigorchuk, R. I.
26
1985
Groups of intermediate growth: an introduction. Zbl 1204.20049
Grigorchuk, Rostislav; Pak, Igor
25
2008
Milnor’s problem on the growth of groups and its consequences. Zbl 1325.20034
Grigorchuk, Rostislav
24
2014
The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps. Zbl 1177.05124
Grigorchuk, Rostislav I.; Żuk, Andrzej
24
2004
Self-similarity and branching in group theory. Zbl 1185.20044
Grigorchuk, Rostislav; Šunić, Zoran
23
2007
Schreier spectrum of the Hanoi Towers group on three pegs. Zbl 1170.37008
Grigorchuk, Rostislav; Šunić, Zoran
22
2008
Lie methods in growth of groups and groups of finite width. Zbl 1032.20026
Bartholdi, Laurent; Grigorchuk, Rostislav I.
21
2000
A structural property concerning abstract commensurability of subgroups. Zbl 1063.20033
Grigorchuk, R. I.; Wilson, J. S.
20
2003
On algebraic properties of topological full groups. Zbl 1365.37010
Grigorchuk, R. I.; Medynets, K. S.
19
2014
On the asymptotic spectrum of random walks on infinite families of graphs. Zbl 0957.60044
Grigorchuk, Rostislav I.; Żuk, Andrzej
19
1999
On the growth rates of p-groups and torsion-free groups. Zbl 0583.20024
Grigorchuk, R. I.
19
1986
On semigroups with reductions of the degree of growth. Zbl 0643.20036
Grigorchuk, R. I.
19
1988
Invariant random subgroups of lamplighter groups. Zbl 1334.43006
Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav
18
2015
On quadratic equations in free groups. Zbl 0778.20013
Grigorchuk, R. I.; Kurchanov, P. F.
15
1992
Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. Zbl 1383.05196
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
15
2018
Branch groups. Zbl 0994.20027
Grigorchuk, R. I.
15
2000
Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk. Zbl 1037.22009
Bekka, M. Bachir; de la Harpe, Pierre
15
2003
Spectral properties of a torsion-free weakly branch group defined by a three state automaton. Zbl 1057.60045
Grigorchuk, Rostislav I.; Żuk, Andrzej
14
2002
On classification of groups generated by 3-state automata over a 2-letter alphabet. Zbl 1164.20004
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostislav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
14
2008
Amenable actions of nonamenable groups. Zbl 1127.43001
Grigorchuk, R. I.; Nekrashevych, V. Yu.
13
2005
Self-similar groups, operator algebras and Schur complement. Zbl 1133.46029
Grigorchuk, Rostislav; Nekrashevych, Volodymyr
12
2007
On the lattice of subgroups of the lamplighter group. Zbl 1317.20032
Grigorchuk, R.; Kravchenko, R.
12
2014
Complete growth functions of hyperbolic groups. Zbl 0880.20024
Grigorchuk, Rostislav; Nagnibeda, Tatiana
12
1997
Just-infinite \(C^\ast\)-algebras. Zbl 1396.46044
Grigorchuk, Rostislav; Musat, Magdalena; Rørdam, Mikael
12
2018
Joint spectrum and the infinite dihedral group. Zbl 1462.47003
Grigorchuk, Rostislav; Yang, Rongwei
12
2017
Limit behaviour of exponential growth rates for finitely generated groups. Zbl 1004.20018
Grigorchuk, Rotislav; de la Harpe, Pierre
11
2001
A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014
Grigorchuk, R. I.; Lysionok, I. G.
10
1992
Self-similar groups acting essentially freely on the boundary of the binary rooted tree. Zbl 1308.20025
Grigorchuk, Rostislav; Savchuk, Dmytro
10
2014
Growth and amenability of a semigroup and its group of quotients. Zbl 0726.43002
Grigorchuk, R. I.
10
1990
Construction of p-groups of intermediate growth that have a continuum of quotient groups. Zbl 0573.20037
Grigorchuk, R. I.
10
1984
An example of an indexed language of intermediate growth. Zbl 0913.68121
Grigorchuk, R. I.; Machì, A.
10
1999
On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata. Zbl 1114.20303
Grigorchuk, R. I.
10
1999
On the gap conjecture concerning group growth. Zbl 1323.20035
Grigorchuk, Rostislav
9
2014
On spectra of Koopman, groupoid and quasi-regular representations. Zbl 1502.22003
Dudko, Artem; Grigorchuk, Rostislav
9
2017
Amenability and growth of one-relator groups. Zbl 0897.20022
Ceccherini-Silberstein, Tullio G.; Grigorchuk, Rostislav I.
9
1997
Combinatorial group theory and applications to geometry. Transl. from the Russian by P. M. Cohn. 2nd printing of the 1st ed. 1993. Zbl 0997.20500
Collins, D. J.; Grigorchuk, R. I.; Kurchanov, P. F.; Zieschang, H.
9
1998
Ergodic properties of boundary actions and the Nielsen-Schreier theory. Zbl 1278.37034
Grigorchuk, Rostislav; Kaimanovich, Vadim A.; Nagnibeda, Tatiana
9
2012
Supramenability and the problem of occurrence of free semigroups. Zbl 0626.43003
Grigorchuk, R. I.
9
1987
Schreier graphs of Grigorchuk’s group and a subshift associated to a nonprimitive substitution. Zbl 1371.05123
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
9
2017
Universal groups of intermediate growth and their invariant random subgroups. Zbl 1365.20042
Benli, Mustafa Gökhan; Grigorchuk, Rostislav; Nagnibeda, Tatiana
8
2015
The uniqueness of the actions of certain branch groups on rooted trees. Zbl 1052.20023
Grigorchuk, R. I.; Wilson, J. S.
8
2003
Bounded cohomology of group constructions. Zbl 0873.20039
Grigorchuk, R. I.
8
1996
Ergodic theorems for actions of free groups and free semigroups. Zbl 0957.22006
Grigorchuk, R. I.
8
1999
Amenability and ergodic properties of topological groups: from Bogolyubov onwards. Zbl 1397.43001
Grigorchuk, Rostislav; de la Harpe, Pierre
8
2017
A group of intermediate growth acting by homomorphisms on the real line. Zbl 0806.20027
Grigorchuk, R. I.; Maki, A.
7
1993
On the Hilbert-Poincaré series of graded algebras associated with groups. Zbl 0695.16009
Grigorchuk, R. I.
7
1990
One-relator groups of exponential growth have uniformly exponential growth. Zbl 0999.20033
Grigorchuk, R. I.; de la Harpe, P.
7
2001
Ergodic decomposition of group actions on rooted trees. Zbl 1362.37013
Grigorchuk, Rostislav; Savchuk, Dmytro
6
2016
On a problem of Day on nonelementary amenable groups in the class of finitely presented groups. Zbl 0930.43001
Grigorchuk, R. I.
6
1996
Diameters, distortion, and eigenvalues. Zbl 1246.05046
Grigorchuk, Rostislav I.; Nowak, Piotr W.
6
2012
Amenable groups without finitely presented amenable covers. Zbl 1352.20025
Benli, Mustafa Gökhan; Grigorchuk, Rostislav; de la Harpe, Pierre
6
2013
From self-similar groups to self-similar sets and spectra. Zbl 1359.37008
Grigorchuk, Rostislav; Nekrashevych, Volodymyr; Šunić, Zoran
5
2015
Lamplighter groups, de Brujin graphs, spider-web graphs and their spectra. Zbl 1345.05043
Grigorchuk, R.; Leemann, P.-H.; Nagnibeda, T.
5
2016
The profinite completion of certain torsion \(p\)-groups. Zbl 0964.20018
Grigorchuk, R. I.; Herfort, W. N.; Zalesskii, P. A.
5
2000
The spectral problem, substitutions and iterated monodromy. Zbl 1138.20025
Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran
5
2007
Characteristic random subgroups of geometric groups and free abelian groups of infinite rank. Zbl 1373.20093
Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav
5
2017
Growth functions, rewriting systems, and the Euler characteristic. Zbl 0860.68084
Grigorchuk, R. I.
5
1995
Some questions of group theory related to geometry. Zbl 0781.20023
Grigorchuk, R. I.; Kurchanov, P. F.
5
1990
Groups generated by 3-state automata over a 2-letter alphabet. I. Zbl 1184.20026
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostyslav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
5
2007
Cancellative semigroups of power growth. Zbl 0655.20044
Grigorchuk, R. I.
5
1988
Self-similar groups, automatic sequences, and unitriangular representations. Zbl 1394.20018
Grigorchuk, R.; Leonov, Y.; Nekrashevych, V.; Sushchansky, V.
4
2016
Certain questions of group theory connected with geometry. Zbl 0748.20021
Grigorchuk, R. I.; Kurchanov, P. F.
4
1990
On use of iterates of endomorphisms for constructing groups with specific properties. Zbl 0932.20033
Grigorchuk, R. I.; Mamaghani, M. J.
4
1997
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
4
2000
On diagonal actions of branch groups and the corresponding characters. Zbl 1494.20010
Dudko, Artem; Grigorchuk, Rostislav
4
2018
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 just-infiniteness of locally finite groups and their \(C^*\)-algebras. Zbl 1371.46042
Belyaev, V.; Grigorchuk, R.; Shumyatsky, P.
3
2017
Homomorphic images of branch groups, and Serre’s property (FA). Zbl 1139.20021
Delzant, Thomas; Grigorchuk, Rostislav
3
2008
Weight functions on groups and an amenability criterion for Beurling algebras. Zbl 0905.43001
Grigorchuk, R. I.
3
1996
On Tychonoff groups. Zbl 0908.43001
Grigorchuk, R. I.
3
1998
An ergodic theorem for the action of a free semigroup. Zbl 1172.37303
Grigorchuk, R. I.
3
2000
The conjugacy problem for certain branch groups. Zbl 1001.20031
Grigorchuk, R. I.; Wilson, J. S.
3
2000
On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups. Zbl 1388.20017
Dudko, Artem; Grigorchuk, Rostislav
3
2017
On Dehn functions of infinite presentations of groups. Zbl 1225.20031
Grigorchuk, Rostislav I.; Ivanov, Sergei V.
3
2009
The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters. Zbl 1297.20025
Grigorchuk, R. I.; Krylyuk, Ya. S.
3
2012
On the topological and metric types of surfaces regularly covering a closed surface. Zbl 0702.57001
Grigorchuk, R. I.
3
1990
On the width of elements in free groups. Zbl 0749.20005
Grigorchuk, R. I.; Kurchanov, P. F.
3
1991
A connection between algorithmic problems and entropy characteristics of groups. Zbl 0596.20022
Grigorchuk, R. I.
3
1985
On the condensation property of the lamplighter groups and groups of intermediate growth. Zbl 1315.20040
Benli, Mustafa Gökhan; Grigorchuk, Rostislav
2
2014
On spectra and spectral measures of Schreier and Cayley graphs. Zbl 1506.05119
Grigorchuk, Rostislav; Nagnibeda, Tatiana; Pérez, Aitor
1
2022
On the question “Can one hear the shape of a group?” and a Hulanicki type theorem for graphs. Zbl 1484.20075
Dudko, Artem; Grigorchuk, Rostislav
1
2020
Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order. Zbl 1383.05196
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
15
2018
Just-infinite \(C^\ast\)-algebras. Zbl 1396.46044
Grigorchuk, Rostislav; Musat, Magdalena; Rørdam, Mikael
12
2018
On diagonal actions of branch groups and the corresponding characters. Zbl 1494.20010
Dudko, Artem; Grigorchuk, Rostislav
4
2018
Presentations of topological full groups by generators and relations. Zbl 1402.20047
Grigorchuk, Rostislav; Medynets, Kostya
1
2018
Joint spectrum and the infinite dihedral group. Zbl 1462.47003
Grigorchuk, Rostislav; Yang, Rongwei
12
2017
On spectra of Koopman, groupoid and quasi-regular representations. Zbl 1502.22003
Dudko, Artem; Grigorchuk, Rostislav
9
2017
Schreier graphs of Grigorchuk’s group and a subshift associated to a nonprimitive substitution. Zbl 1371.05123
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
9
2017
Amenability and ergodic properties of topological groups: from Bogolyubov onwards. Zbl 1397.43001
Grigorchuk, Rostislav; de la Harpe, Pierre
8
2017
Characteristic random subgroups of geometric groups and free abelian groups of infinite rank. Zbl 1373.20093
Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav
5
2017
On just-infiniteness of locally finite groups and their \(C^*\)-algebras. Zbl 1371.46042
Belyaev, V.; Grigorchuk, R.; Shumyatsky, P.
3
2017
On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups. Zbl 1388.20017
Dudko, Artem; Grigorchuk, Rostislav
3
2017
On just infinite periodic locally soluble groups. Zbl 1423.20036
Grigorchuk, R.; Shumyatsky, P.
1
2017
Combinatorics of the subshift associated with Grigorchuk’s group. Zbl 1380.37027
Grigorchuk, Rostislav; Lenz, Daniel; Nagnibeda, Tatiana
1
2017
Ergodic decomposition of group actions on rooted trees. Zbl 1362.37013
Grigorchuk, Rostislav; Savchuk, Dmytro
6
2016
Lamplighter groups, de Brujin graphs, spider-web graphs and their spectra. Zbl 1345.05043
Grigorchuk, R.; Leemann, P.-H.; Nagnibeda, T.
5
2016
Self-similar groups, automatic sequences, and unitriangular representations. Zbl 1394.20018
Grigorchuk, R.; Leonov, Y.; Nekrashevych, V.; Sushchansky, V.
4
2016
Invariant random subgroups of lamplighter groups. Zbl 1334.43006
Bowen, Lewis; Grigorchuk, Rostislav; Kravchenko, Rostyslav
18
2015
Universal groups of intermediate growth and their invariant random subgroups. Zbl 1365.20042
Benli, Mustafa Gökhan; Grigorchuk, Rostislav; Nagnibeda, Tatiana
8
2015
From self-similar groups to self-similar sets and spectra. Zbl 1359.37008
Grigorchuk, Rostislav; Nekrashevych, Volodymyr; Šunić, Zoran
5
2015
Constructions of torsion-free countable, amenable, weakly mixing groups. Zbl 1382.20034
Grigorchuk, Rostislav; Kravchenko, Rostyslav; Olshanskii, Alexander
2
2015
Uncountably many 2-generated just-infinite branch pro-2 groups. Zbl 1328.20049
Benli, Mustafa Gökhan; Grigorchuk, Rostislav
1
2015
Milnor’s problem on the growth of groups and its consequences. Zbl 1325.20034
Grigorchuk, Rostislav
24
2014
On algebraic properties of topological full groups. Zbl 1365.37010
Grigorchuk, R. I.; Medynets, K. S.
19
2014
On the lattice of subgroups of the lamplighter group. Zbl 1317.20032
Grigorchuk, R.; Kravchenko, R.
12
2014
Self-similar groups acting essentially freely on the boundary of the binary rooted tree. Zbl 1308.20025
Grigorchuk, Rostislav; Savchuk, Dmytro
10
2014
On the gap conjecture concerning group growth. Zbl 1323.20035
Grigorchuk, Rostislav
9
2014
On the condensation property of the lamplighter groups and groups of intermediate growth. Zbl 1315.20040
Benli, Mustafa Gökhan; Grigorchuk, Rostislav
2
2014
Amenable groups without finitely presented amenable covers. Zbl 1352.20025
Benli, Mustafa Gökhan; Grigorchuk, Rostislav; de la Harpe, Pierre
6
2013
Ergodic properties of boundary actions and the Nielsen-Schreier theory. Zbl 1278.37034
Grigorchuk, Rostislav; Kaimanovich, Vadim A.; Nagnibeda, Tatiana
9
2012
Diameters, distortion, and eigenvalues. Zbl 1246.05046
Grigorchuk, Rostislav I.; Nowak, Piotr W.
6
2012
The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters. Zbl 1297.20025
Grigorchuk, R. I.; Krylyuk, Ya. S.
3
2012
Some topics in the dynamics of group actions on rooted trees. Zbl 1268.20027
Grigorchuk, R. I.
43
2011
The rank gradient and the lamplighter group. Zbl 1248.20029
Allums, Derek J.; Grigorchuk, Rostislav I.
2
2011
On Dehn functions of infinite presentations of groups. Zbl 1225.20031
Grigorchuk, Rostislav I.; Ivanov, Sergei V.
3
2009
Groups generated by 3-state automata over a 2-letter alphabet. II. Zbl 1185.20029
Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Šunić, Z.
2
2009
Groups of intermediate growth: an introduction. Zbl 1204.20049
Grigorchuk, Rostislav; Pak, Igor
25
2008
Schreier spectrum of the Hanoi Towers group on three pegs. Zbl 1170.37008
Grigorchuk, Rostislav; Šunić, Zoran
22
2008
On classification of groups generated by 3-state automata over a 2-letter alphabet. Zbl 1164.20004
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostislav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
14
2008
Homomorphic images of branch groups, and Serre’s property (FA). Zbl 1139.20021
Delzant, Thomas; Grigorchuk, Rostislav
3
2008
Self-similarity and branching in group theory. Zbl 1185.20044
Grigorchuk, Rostislav; Šunić, Zoran
23
2007
Self-similar groups, operator algebras and Schur complement. Zbl 1133.46029
Grigorchuk, Rostislav; Nekrashevych, Volodymyr
12
2007
The spectral problem, substitutions and iterated monodromy. Zbl 1138.20025
Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran
5
2007
Groups generated by 3-state automata over a 2-letter alphabet. I. Zbl 1184.20026
Bondarenko, Ievgen; Grigorchuk, Rostislav; Kravchenko, Rostyslav; Muntyan, Yevgen; Nekrashevych, Volodymyr; Savchuk, Dmytro; Šunić, Zoran
5
2007
Asymptotic aspects of Schreier graphs and Hanoi Towers groups. Zbl 1135.20016
Grigorchuk, Rostislav; Šuniḱ, Zoran
35
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 1085.20501
1
2006
Solved and unsolved problems around one group. Zbl 1165.20021
Grigorchuk, Rostislav
56
2005
Amenable actions of nonamenable groups. Zbl 1127.43001
Grigorchuk, R. I.; Nekrashevych, V. Yu.
13
2005
The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps. Zbl 1177.05124
Grigorchuk, Rostislav I.; Żuk, Andrzej
24
2004
The group of automorphisms of a 3-generated 2-group of intermediate growth. Zbl 1088.20020
Grigorchuk, R. I.; Sidki, S. N.
2
2004
A minimality property of certain branch groups. Zbl 1139.20302
Grigorchuk, R. I.; Wilson, J. S.
2
2004
Branch groups. Zbl 1140.20306
Bartholdi, Laurent; Grigorchuk, Rostislav I.; Šuniḱ, Zoran
96
2003
From fractal groups to fractal sets. Zbl 1037.20040
Bartholdi, Laurent; Grigorchuk, Rostislav; Nekrashevych, Volodymyr
67
2003
A structural property concerning abstract commensurability of subgroups. Zbl 1063.20033
Grigorchuk, R. I.; Wilson, J. S.
20
2003
Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk. Zbl 1037.22009
Bekka, M. Bachir; de la Harpe, Pierre
15
2003
The uniqueness of the actions of certain branch groups on rooted trees. Zbl 1052.20023
Grigorchuk, R. I.; Wilson, J. S.
8
2003
On a torsion-free weakly branch group defined by a three state automaton. Zbl 1070.20031
Grigorchuk, Rostislav I.; Żuk, Andrzej
46
2002
On parabolic subgroups and Hecke algebras of some fractal groups. Zbl 1011.20028
Bartholdi, Laurent; Grigorchuk, Rotislav I.
39
2002
Spectral properties of a torsion-free weakly branch group defined by a three state automaton. Zbl 1057.60045
Grigorchuk, Rostislav I.; Żuk, Andrzej
14
2002
The lamplighter group as a group generated by a 2-state automaton, and its spectrum. Zbl 0990.60049
Grigorchuk, Rostislav I.; Żuk, Andrzej
89
2001
Limit behaviour of exponential growth rates for finitely generated groups. Zbl 1004.20018
Grigorchuk, Rotislav; de la Harpe, Pierre
11
2001
One-relator groups of exponential growth have uniformly exponential growth. Zbl 0999.20033
Grigorchuk, R. I.; de la Harpe, P.
7
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
Automata, dynamical systems, and groups. Zbl 1155.37311
Grigorchuk, R. I.; Nekrashevich, V. V.; Sushchanskii, V. I.
113
2000
Just infinite branch groups. Zbl 0982.20024
Grigorchuk, R. I.
97
2000
On the spectrum of Hecke type operators related to some fractal groups. Zbl 1172.37305
Bartholdi, L.; Grigorchuk, R. I.
47
2000
On a question of Atiyah. Zbl 0969.57022
Grigorchuk, Rostislav I.; Linnell, Peter; Schick, Thomas; Żuk, Andrzej
37
2000
Lie methods in growth of groups and groups of finite width. Zbl 1032.20026
Bartholdi, Laurent; Grigorchuk, Rostislav I.
21
2000
Branch groups. Zbl 0994.20027
Grigorchuk, R. I.
15
2000
The profinite completion of certain torsion \(p\)-groups. Zbl 0964.20018
Grigorchuk, R. I.; Herfort, W. N.; Zalesskii, P. A.
5
2000
Spectra of non-commutative dynamical systems and graphs related to fractal groups. Zbl 1006.37008
Bartholdi, Laurent; Grigorchuk, Rostislav I.
4
2000
An ergodic theorem for the action of a free semigroup. Zbl 1172.37303
Grigorchuk, R. I.
3
2000
The conjugacy problem for certain branch groups. Zbl 1001.20031
Grigorchuk, R. I.; Wilson, J. S.
3
2000
The group of asynchronous automata and rational homeomorphisms of the Cantor set. Zbl 0988.37014
Grigorchuk, R. I.; Nekrashevich, V. V.
2
2000
Dynamical systems, automata, and infinite groups. Collected papers. (Dinamicheskie sistemy, avtomaty i beskonechnye gruppy. Sbornik statej.) Zbl 0967.00015
1
2000
Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces. Zbl 0968.43002
de la Harpe, P.; Grigorchuk, R. I.; Ceccherini-Silberstein, T.
60
1999
On the asymptotic spectrum of random walks on infinite families of graphs. Zbl 0957.60044
Grigorchuk, Rostislav I.; Żuk, Andrzej
19
1999
An example of an indexed language of intermediate growth. Zbl 0913.68121
Grigorchuk, R. I.; Machì, A.
10
1999
On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata. Zbl 1114.20303
Grigorchuk, R. I.
10
1999
Ergodic theorems for actions of free groups and free semigroups. Zbl 0957.22006
Grigorchuk, R. I.
8
1999
An example of a finitely presented amenable group not belonging to the class \(EG\). Zbl 0931.43003
Grigorchuk, R. I.
33
1998
Combinatorial group theory and applications to geometry. Transl. from the Russian by P. M. Cohn. 2nd printing of the 1st ed. 1993. Zbl 0997.20500
Collins, D. J.; Grigorchuk, R. I.; Kurchanov, P. F.; Zieschang, H.
9
1998
On Tychonoff groups. Zbl 0908.43001
Grigorchuk, R. I.
3
1998
On amenability of semigroups with cancellation. Zbl 1023.43001
Grigorchuk, R. I.; Stepin, A. M.
2
1998
On problems related to growth, entropy, and spectrum in group theory. Zbl 0949.20033
Grigorchuk, R.; de la Harpe, P.
71
1997
Complete growth functions of hyperbolic groups. Zbl 0880.20024
Grigorchuk, Rostislav; Nagnibeda, Tatiana
12
1997
Amenability and growth of one-relator groups. Zbl 0897.20022
Ceccherini-Silberstein, Tullio G.; Grigorchuk, Rostislav I.
9
1997
On use of iterates of endomorphisms for constructing groups with specific properties. Zbl 0932.20033
Grigorchuk, R. I.; Mamaghani, M. J.
4
1997
Bounded cohomology of group constructions. Zbl 0873.20039
Grigorchuk, R. I.
8
1996
On a problem of Day on nonelementary amenable groups in the class of finitely presented groups. Zbl 0930.43001
Grigorchuk, R. I.
6
1996
Weight functions on groups and an amenability criterion for Beurling algebras. Zbl 0905.43001
Grigorchuk, R. I.
3
1996
Some results on bounded cohomology. Zbl 0853.20034
Grigorchuk, R. I.
34
1995
Growth functions, rewriting systems, and the Euler characteristic. Zbl 0860.68084
Grigorchuk, R. I.
5
1995
A group of intermediate growth acting by homomorphisms on the real line. Zbl 0806.20027
Grigorchuk, R. I.; Maki, A.
7
1993
On quadratic equations in free groups. Zbl 0778.20013
Grigorchuk, R. I.; Kurchanov, P. F.
15
1992
A description of solutions of quadratic equations in hyperbolic groups. Zbl 0762.20014
Grigorchuk, R. I.; Lysionok, I. G.
10
1992
Equivalence of homomorphisms of surface groups to free groups and some properties of 3-dimensional handlebodies. Zbl 0792.20022
Grigorchuk, R. I.; Kurchanov, P. F.; Zieschang, H.
1
1992
On growth in group theory. Zbl 0749.20016
Grigorchuk, Rostislav I.
30
1991
On the width of elements in free groups. Zbl 0749.20005
Grigorchuk, R. I.; Kurchanov, P. F.
3
1991
...and 22 more Documents
all top 5

Cited by 1,017 Authors

46 Grigorchuk, Rostislav Ivanovich
27 Bartholdi, Laurent
24 D’angeli, Daniele
21 Nekrashevych, Volodymyr V.
20 Myasnikov, Alexei G.
17 Ceccherini-Silberstein, Tullio G.
15 Erschler, Anna
15 Rodaro, Emanuele
14 Donno, Alfredo
13 Nagnibeda, Tatiana V.
13 Sidki, Said Najati
12 Šunić, Zoran
12 Woess, Wolfgang
11 Bondarenko, Ievgen V.
11 Petrogradsky, Victor Mikhaylovich
11 Savchuk, Dmytro M.
11 Woryna, Adam
10 Klimann, Ines
10 Scarabotti, Fabio
10 Steinberg, Benjamin
9 Brieussel, Jérémie
9 Elder, Murray J.
9 Glasner, Yair
9 Guba, Victor S.
9 Kharlampovich, Olga G.
9 Osin, Denis V.
9 Wächter, Jan Philipp
8 Cavaleri, Matteo
8 Francoeur, Dominik
8 Monod, Nicolas
8 Sushchans’kyĭ, Vitaliĭ Ivanovych
7 Abért, Miklós
7 Fernández-Alcober, Gustavo A.
7 Le Boudec, Adrien
7 Noce, Marialaura
7 Picantin, Matthieu
7 Thomas, Simon R.
7 Vorobets, Yaroslav
6 Ara, Pere
6 Arzhantseva, Goulnara N.
6 Bowen, Lewis Phylip
6 Cain, Alan J.
6 de la Harpe, Pierre
6 Dudko, Artem
6 Garrido, Alejandra
6 Kaimanovich, Vadim A.
6 Lubotzky, Alexander
6 Lukina, Olga
6 Matte Bon, Nicolás
6 Nowak, Piotr W.
6 Ol’shanskiĭ, Aleksandr Yur’evich
6 Pak, Igor
6 Sambusetti, Andrea
6 Sapir, Mark Valentinovich
6 Shestakov, Ivan Pavlovich
6 Tolli, Filippo
6 Virág, Bálint
6 Yang, Rongwei
5 Benli, Mustafa Gökhan
5 Bleak, Collin
5 Caprace, Pierre-Emmanuel
5 Ciobanu, Laura
5 de Cornulier, Yves
5 Godin, Thibault
5 Kechris, Alexander S.
5 Lenz, Daniel H.
5 Leonov, Yu. G.
5 Lysenok, Igor’ Geront’evich
5 Machi, Antonio
5 Pittet, Christophe
5 Shalev, Aner
5 Skipper, Rachel
5 Thillaisundaram, Anitha
5 Uria-Albizuri, Jone
5 Weiß, Armin
5 Wesolek, Phillip Richard
5 Zheng, Tianyi
4 Allouche, Jean-Paul Simon
4 Barbieri, Sebastián
4 Biringer, Ian
4 Bradford, Henry
4 Bufetov, Aleksandr Igorevich
4 Burillo, José
4 Cashen, Christopher H.
4 Damanik, David
4 Elek, Gábor
4 Hartung, René
4 Jespers, Eric
4 Jørgensen, Palle E. T.
4 Juschenko, Kate
4 Kagan, Dmitrii Z.
4 Kapovich, Ilya
4 Kionke, Steffen
4 Klopsch, Benjamin
4 Kravchenko, Rostyslav V.
4 Lawson, Mark Verus
4 Li, Kang
4 Okniński, Jan
4 Petrov, Evgenii Aleksandrovich
4 Rozhkov, A. V.
...and 917 more Authors
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Cited in 222 Serials

89 Journal of Algebra
61 International Journal of Algebra and Computation
56 Groups, Geometry, and Dynamics
39 Transactions of the American Mathematical Society
29 Geometriae Dedicata
27 Proceedings of the American Mathematical Society
26 Israel Journal of Mathematics
25 Journal of Mathematical Sciences (New York)
21 Advances in Mathematics
20 Journal of Functional Analysis
19 Mathematical Notes
18 Mathematische Annalen
18 Theoretical Computer Science
18 Ergodic Theory and Dynamical Systems
18 Journal of Group Theory
17 Annales de l’Institut Fourier
14 European Journal of Combinatorics
13 Inventiones Mathematicae
12 Communications in Algebra
11 Semigroup Forum
10 Proceedings of the Steklov Institute of Mathematics
9 Archiv der Mathematik
9 Duke Mathematical Journal
9 Journal of Pure and Applied Algebra
9 Mathematische Zeitschrift
9 Geometric and Functional Analysis. GAFA
9 Expositiones Mathematicae
8 Bulletin of the London Mathematical Society
8 Topology and its Applications
8 Journal of Algebra and its Applications
7 Communications in Mathematical Physics
7 Discrete Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 The Annals of Probability
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Journal of the European Mathematical Society (JEMS)
7 Bulletin of Mathematical Sciences
6 Algebra and Logic
6 Journal of the London Mathematical Society. Second Series
6 Monatshefte für Mathematik
6 Geometry & Topology
6 Journal of the Australian Mathematical Society
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Modern Dynamics
6 Journal of Topology and Analysis
5 Journal d’Analyse Mathématique
5 Journal of Mathematical Analysis and Applications
5 Compositio Mathematica
5 Journal of Combinatorial Theory. Series B
5 Linear Algebra and its Applications
5 The Electronic Journal of Combinatorics
5 Algebraic & Geometric Topology
5 Algebra and Discrete Mathematics
4 Discrete Applied Mathematics
4 Memoirs of the American Mathematical Society
4 Forum Mathematicum
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Annals of Mathematics. Second Series
4 Lobachevskii Journal of Mathematics
4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 International Journal of Group Theory
3 Ukrainian Mathematical Journal
3 Journal of Geometry and Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Canadian Journal of Mathematics
3 Functional Analysis and its Applications
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Annals of Pure and Applied Logic
3 Probability Theory and Related Fields
3 Journal of the American Mathematical Society
3 The Journal of Geometric Analysis
3 Russian Journal of Mathematical Physics
3 Discrete and Continuous Dynamical Systems
3 Theory of Computing Systems
3 Annales Henri Lebesgue
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Bulletin de la Société Mathématique de France
2 Canadian Mathematical Bulletin
2 Commentarii Mathematici Helvetici
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Journal of Computer and System Sciences
2 Journal of Number Theory
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Seminario Matematico della Università di Padova
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Revista Matemática Iberoamericana
2 Information and Computation
2 International Journal of Foundations of Computer Science
2 L’Enseignement Mathématique. 2e Série
2 Experimental Mathematics
2 Journal of Algebraic Combinatorics
2 Topology Proceedings
2 Journal de Théorie des Nombres de Bordeaux
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
...and 122 more Serials
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Cited in 49 Fields

707 Group theory and generalizations (20-XX)
200 Dynamical systems and ergodic theory (37-XX)
191 Combinatorics (05-XX)
152 Computer science (68-XX)
123 Topological groups, Lie groups (22-XX)
117 Abstract harmonic analysis (43-XX)
86 Probability theory and stochastic processes (60-XX)
84 Manifolds and cell complexes (57-XX)
81 Functional analysis (46-XX)
57 Associative rings and algebras (16-XX)
44 Number theory (11-XX)
42 Measure and integration (28-XX)
42 Operator theory (47-XX)
41 Mathematical logic and foundations (03-XX)
34 Differential geometry (53-XX)
32 Nonassociative rings and algebras (17-XX)
25 General topology (54-XX)
20 Statistical mechanics, structure of matter (82-XX)
18 Algebraic geometry (14-XX)
16 Functions of a complex variable (30-XX)
14 Quantum theory (81-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Algebraic topology (55-XX)
11 Category theory; homological algebra (18-XX)
11 Partial differential equations (35-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Information and communication theory, circuits (94-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
7 Potential theory (31-XX)
7 Difference and functional equations (39-XX)
7 Convex and discrete geometry (52-XX)
7 Operations research, mathematical programming (90-XX)
6 Commutative algebra (13-XX)
6 Geometry (51-XX)
5 General and overarching topics; collections (00-XX)
5 Field theory and polynomials (12-XX)
4 \(K\)-theory (19-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Ordinary differential equations (34-XX)
3 Mechanics of particles and systems (70-XX)
2 General algebraic systems (08-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Biology and other natural sciences (92-XX)

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