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1

On Dehn Functions of Infinite Presentations of Groups

Rostislav I. Grigorchuk, Sergei V. Ivanov

Journal:

Geometric And Functional Analysis

Year:

2009

Language:

english

File:

PDF, 413 KB

english, 2009

2

Complete growth functions of hyperbolic groups

Rostislav Grigorchuk, Tatiana Nagnibeda

Journal:

Inventiones mathematicae

Year:

1997

Language:

english

File:

PDF, 582 KB

english, 1997

3

Ergodic properties of boundary actions and the Nielsen–Schreier theory

Rostislav Grigorchuk, Vadim A. Kaimanovich, Tatiana Nagnibeda

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 409 KB

english, 2012

4

Universal groups of intermediate growth and their invariant random subgroups

Benli, Mustafa Gökhan, Grigorchuk, Rostislav, Nagnibeda, Tatiana

Journal:

Functional Analysis and Its Applications

Year:

2015

Language:

english

File:

PDF, 273 KB

english, 2015

5

Characteristic random subgroups of geometric groups and free abelian groups of infinite rank

Bowen, Lewis, Grigorchuk, Rostislav, Kravchenko, Rostyslav

Journal:

Transactions of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 378 KB

english, 2016

6

Spectra of Schreier graphs of Grigorchuk’s group and Schroedinger operators with aperiodic order

Grigorchuk, Rostislav, Lenz, Daniel, Nagnibeda, Tatiana

Journal:

Mathematische Annalen

Year:

2018

Language:

english

File:

PDF, 844 KB

english, 2018

7

Just-infinite $C^*$-algebras

Grigorchuk, Rostislav, Musat, Magdalena, Rørdam, Mikael

Journal:

Commentarii Mathematici Helvetici

Year:

2018

Language:

english

File:

PDF, 435 KB

english, 2018

8

Asymptotic aspects of Schreier graphs and Hanoi Towers groups

Rostislav Grigorchuk, Zoran Šunik´

Journal:

Comptes Rendus Mathematique

Year:

2006

Language:

french

File:

PDF, 135 KB

french, 2006

9

Irreducibility of unitary group representations and reproducing kernels Hilbert spaces

M. Bachir Bekka, Pierre de la Harpe, Rostislav Grigorchuk

Journal:

Expositiones Mathematicae

Year:

2003

Language:

english

File:

PDF, 1.80 MB

english, 2003

10

Spectra of non-commutative dynamical systems and graphs related to fractal groups

Laurent Bartholdi, Rostislav I. Grigorchuk

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 210 KB

2000

11

On a question of Atiyah

Rostislav I. Grigorchuk, Peter Linnell, Thomas Schick, Andrzej Żuk

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

Language:

french

File:

PDF, 139 KB

french, 2000

12

Sous-groupes paraboliques et représentations de groupes branchés

Laurent Bartholdi, Rostislav I. Grigorchuk

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

File:

PDF, 122 KB

2001

13

Décompositions paradoxales des groupes

Tullio Ceccherini-Silberstein, Rostislav Grigorchuk, Pierre de la Harpe

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

File:

PDF, 368 KB

1998

14

Preface

Rostislav Grigorchuk, Gilles Pisier, Zoran Šunić

Journal:

Geometriae Dedicata

Year:

2007

Language:

english

File:

PDF, 80 KB

english, 2007

15

The Lamplighter Group as a Group Generated by a 2-state Automaton, and its Spectrum

Rostislav I. Grigorchuk, Andrzej Żuk

Journal:

Geometriae Dedicata

Year:

2001

Language:

english

File:

PDF, 254 KB

english, 2001

16

Diameters, distortion, and eigenvalues

Rostislav I. Grigorchuk, Piotr W. Nowak

Journal:

European Journal of Combinatorics

Year:

2012

Language:

english

File:

PDF, 322 KB

english, 2012

17

[Contemporary Mathematics] Dynamical Systems and Group Actions Volume 567 || Hyperfinite actions on countable sets and probability measure spaces

Bowen, Lewis, Grigorchuk, Rostislav, Vorobets, Yaroslav

Year:

2012

Language:

english

File:

PDF, 2.57 MB

english, 2012

18

On the Gap Conjecture concerning group growth

Rostislav Grigorchuk

Journal:

Bulletin of Mathematical Sciences

Year:

2014

Language:

english

File:

PDF, 243 KB

english, 2014

19

Amenable groups without finitely presented amenable covers

Mustafa Gökhan Benli, Rostislav Grigorchuk…

Journal:

Bulletin of Mathematical Sciences

Year:

2013

Language:

english

File:

PDF, 637 KB

english, 2013

20

ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON

GRIGORCHUK, ROSTISLAV I., ŻUK, ANDRZEJ

Journal:

International Journal of Algebra and Computation

Year:

2002

Language:

english

File:

PDF, 322 KB

english, 2002

21

Invariant random subgroups of lamplighter groups

Bowen, Lewis, Grigorchuk, Rostislav, Kravchenko, Rostyslav

Journal:

Israel Journal of Mathematics

Year:

2015

Language:

english

File:

PDF, 250 KB

english, 2015

22

Presentations of topological full groups by generators and relations

Grigorchuk, Rostislav, Medynets, Kostya

Journal:

Journal of Algebra

Year:

2016

Language:

english

File:

PDF, 1.13 MB

english, 2016

23

Ergodic decomposition of group actions on rooted trees

Grigorchuk, Rostislav, Savchuk, Dmytro

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2016

Language:

english

File:

PDF, 1.54 MB

english, 2016

24

Joint spectrum and the infinite dihedral group

Grigorchuk, Rostislav, Yang, Rongwei

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2017

Language:

english

File:

PDF, 1.80 MB

english, 2017

25

Combinatorics of the subshift associated with Grigorchuk’s group

Grigorchuk, Rostislav, Lenz, Daniel, Nagnibeda, Tatiana

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2017

Language:

english

File:

PDF, 1.29 MB

english, 2017

26

Constructions of torsion-free countable, amenable, weakly mixing groups

Grigorchuk, Rostislav, Kravchenko, Rostyslav, Olshanskii, Alexander

Journal:

L'Enseignement Mathématique

Year:

2015

Language:

english

File:

PDF, 265 KB

english, 2015

27

On diagonal actions of branch groups and the corresponding characters

Dudko, Artem, Grigorchuk, Rostislav

Journal:

Journal of Functional Analysis

Year:

2018

Language:

english

File:

PDF, 464 KB

english, 2018

28

The rank gradient and the lamplighter group

Allums, Derek, Grigorchuk, Rostislav

Journal:

Involve a Journal of Mathematics

Year:

2011

Language:

english

File:

PDF, 549 KB

english, 2011

29

On the question âCan one hear the shape of a group?â and a Hulanicki type theorem for graphs

Dudko, Artem, Grigorchuk, Rostislav

Journal:

Israel Journal of Mathematics

Year:

2020

File:

PDF, 407 KB

2020

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