WorldCat Identities

Grigorchuk, R. I.

Overview
Works: 22 works in 53 publications in 3 languages and 438 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author, Thesis advisor
Classifications: QA174, 512.2
Publication Timeline
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Most widely held works by R. I Grigorchuk
Topological and asymptotic aspects of group theory : AMS Special Session Probabilitistic and Asymptotic aspects of Group Theory, March 26-27, 2004, Athens, Ohio [and] AMS Special Session and Topological Aspects of Group Theory, October 16-17, 2004, Nashville, Tennessee by AMS Special Session Probabilistic and Asymptotic Aspects of Group Theory( Book )

14 editions published between 2005 and 2006 in English and held by 192 WorldCat member libraries worldwide

Dynamical systems and group actions( Book )

6 editions published in 2012 in English and held by 138 WorldCat member libraries worldwide

"This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs."--Page 4 of cover
Dynamical systems, automata, and infinite groups : collected papers by R. I Grigorchuk( Book )

7 editions published in 2000 in English and held by 13 WorldCat member libraries worldwide

Dinamičeskie sistemy, avtomaty i beskonečnye gruppy : sbornik statej( Book )

6 editions published in 2000 in Russian and held by 5 WorldCat member libraries worldwide

Dinamicheskie sistemy, avtomaty i beskonechnye gruppy : sbornik stateĭ( Book )

1 edition published in 2000 in Russian and held by 3 WorldCat member libraries worldwide

On problems related to growth, entropy and spectrum in group theory by R. I Grigorchuk( Book )

2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide

Limit behaviour of exponential growth rates for finitely generated groups by R. I Grigorchuk( Book )

2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide

Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces by Tullio Ceccherini-Silberstein( Book )

1 edition published in 1997 in English and held by 1 WorldCat member library worldwide

Décompositions paradoxales des groupes de Burnside by Tullio Ceccherini-Silberstein( )

1 edition published in 1998 in French and held by 1 WorldCat member library worldwide

Branch groups by Laurent Bartholdi( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Sous-groupes paraboliques et représentations de groupes branchés by Laurent Bartholdi( )

1 edition published in 2001 in French and held by 1 WorldCat member library worldwide

Operator growth functions of discrete groups by R. I Grigorchuk( Book )

1 edition published in 1996 in English and held by 1 WorldCat member library worldwide

On the spectrum of Hecke operators related to some fractal groups by Laurent Bartholdi( )

1 edition published in 2000 in English and held by 1 WorldCat member library worldwide

Solitons, geometry, and topology : on the crossroads ; collected papers dedicated to the 60th birthday of academician Sergei Petrovich Novikov by V. M Bukhshtaber( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Irreducibility of unitary group representations and reproducing kernels Hilbert spaces by M. Bachir Bekka( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

On finitely generated groups and problems related to growth by R. I Grigorchuk( Book )

1 edition published in 1996 in English and held by 1 WorldCat member library worldwide

Lie methods in growth of groups and groups of finite width / Laurent Bartholdi and Rostislav I. Grigorchuk by Laurent Bartholdi( )

1 edition published in 2000 in English and held by 1 WorldCat member library worldwide

Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces by Tullio Ceccherini-Silberstein( )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Presentations and Structural Properties of Self-similar Groups and Groups without Free Sub-semigroups by Mustafa G Benli( )

1 edition published in 2013 in English and held by 1 WorldCat member library worldwide

This dissertation is devoted to the study of self-similar groups and related topics. It consists of three parts. The first part is devoted to the study of examples of finitely generated amenable groups for which every finitely presented cover contains non-abelian free subgroups. The study of these examples was motivated by natural questions about finiteness properties of finitely generated groups. We show that many examples of amenable self-similar groups studied in the literature cannot be covered by finitely presented amenable groups. We investigate the class of contracting self-similar groups from this perspective and formulate a general result which is used to detect this property. As an application we show that almost all known examples of groups of intermediate growth cannot be covered by finitely presented amenable groups. The latter is related to the problem of the existence of finitely presented groups of intermediate growth. The second part focuses on the study of one important example of a self-similar group called the first Grigorchuk group G, from the viewpoint of pro finite groups. We investigate finite quotients of this group related to presentations and group (co)homology. As an outcome of this investigation we prove that the pro finite completion G_hat of this group is not finitely presented as a pro finite group. The last part focuses on a class of recursive group presentations known as L-presentations, which appear in the study of self-similar groups. We investigate the relation of such presentations with the normal subgroup structure of finitely presented groups and show that normal subgroups with finite cyclic quotient of finitely presented groups have such presentations. We apply this result to finitely presented indicable groups without free sub-semigroups. The electronic version of this dissertation is accessible from http://hdl.handle.net/1969.1/151072
 
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Audience level: 0.70 (from 0.58 for Presentati ... to 0.97 for Topologica ...)

Topological and asymptotic aspects of group theory : AMS Special Session Probabilitistic and Asymptotic aspects of Group Theory, March 26-27, 2004, Athens, Ohio [and] AMS Special Session and Topological Aspects of Group Theory, October 16-17, 2004, Nashville, TennesseeTopological and asymptotic aspects of group theory : AMS Special Sessions: Probabilitistic and Asymptotic aspects of Group Theory : AMS Special Sessions: Topological Aspects of Group Theory
Alternative Names
Grigorchuk, R. I.

Grigorchuk, Rostislav.

Grigorchuk, Rostislav Ivanovich

Grigorčuk, R. I.

Rostislav Grigorchuk mathématicien russe

Rostislav Grigorchuk Ukrainian mathematician

Rostislav Grigorchuk wiskundige uit Oekraïne

Rostislaw Iwanowitsch Grigortschuk russischer Mathematiker

Григорчук, Ростислав Иванович

Ростислав Івaнович Григорчук

Languages
Covers
Topological and asymptotic aspects of group theory : AMS Special Sessions: Probabilitistic and Asymptotic aspects of Group Theory : AMS Special Sessions: Topological Aspects of Group Theory