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Dynamical Systems and Group Actions
 
Edited by: Lewis Bowen Texas A & M University, College Station, TX
Rostislav Grigorchuk Texas A & M University, College Station, TX
Yaroslav Vorobets Texas A & M University, College Station, TX
Dynamical Systems and Group Actions
eBook ISBN:  978-0-8218-8539-0
Product Code:  CONM/567.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Dynamical Systems and Group Actions
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Dynamical Systems and Group Actions
Edited by: Lewis Bowen Texas A & M University, College Station, TX
Rostislav Grigorchuk Texas A & M University, College Station, TX
Yaroslav Vorobets Texas A & M University, College Station, TX
eBook ISBN:  978-0-8218-8539-0
Product Code:  CONM/567.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5672012; 264 pp
    MSC: Primary 37; 20; 22;

    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.

    Readership

    Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and group actions.

  • Table of Contents
     
     
    • Articles
    • Miklós Abért and Gábor Elek — Hyperfinite actions on countable sets and probability measure spaces
    • A.B. Antonevich, V.I. Bakhtin and A.V. Lebedev — A road to the spectral radius of transfer operators
    • Michael Boshernitzan — A condition for weak mixing of induced IETs
    • Lewis Bowen — Every countably infinite group is almost Ornstein
    • Leonid A. Bunimovich — Fair dice-like hyperbolic systems
    • Gautam Chinta, Jay Jorgenson and Anders Karlsson — Complexity and heights of tori
    • Alexandre I. Danilenko — Flows with uncountable but meager group of self-similarities
    • Eli Glasner and Yonatan Gutman — The universal minimal space of the homeomorphism group of a h-homogeneous space
    • Wen Huang and Xiangdong Ye — Generic eigenvalues, generic factors and weak disjointness
    • Élise Janvresse, Thierry de la Rue and Valery Ryzhikov — Around King’s rank-one theorems: Flows and $\mathbb {Z}^n$-actions
    • Vadim A. Kaimanovich and Florian Sobieczky — Random walks on random horospheric products
    • Ya. G. Sinai — Statistics of gaps in the sequence $\left \{\sqrt {n}\right \}$
    • William A. Veech — Invariant distributions for interval exchange transformations
    • Yaroslav Vorobets — Notes on the Schreier graphs of the Grigorchuk group
    • Benjamin Weiss — Minimal models for free actions
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5672012; 264 pp
MSC: Primary 37; 20; 22;

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.

Readership

Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and group actions.

  • Articles
  • Miklós Abért and Gábor Elek — Hyperfinite actions on countable sets and probability measure spaces
  • A.B. Antonevich, V.I. Bakhtin and A.V. Lebedev — A road to the spectral radius of transfer operators
  • Michael Boshernitzan — A condition for weak mixing of induced IETs
  • Lewis Bowen — Every countably infinite group is almost Ornstein
  • Leonid A. Bunimovich — Fair dice-like hyperbolic systems
  • Gautam Chinta, Jay Jorgenson and Anders Karlsson — Complexity and heights of tori
  • Alexandre I. Danilenko — Flows with uncountable but meager group of self-similarities
  • Eli Glasner and Yonatan Gutman — The universal minimal space of the homeomorphism group of a h-homogeneous space
  • Wen Huang and Xiangdong Ye — Generic eigenvalues, generic factors and weak disjointness
  • Élise Janvresse, Thierry de la Rue and Valery Ryzhikov — Around King’s rank-one theorems: Flows and $\mathbb {Z}^n$-actions
  • Vadim A. Kaimanovich and Florian Sobieczky — Random walks on random horospheric products
  • Ya. G. Sinai — Statistics of gaps in the sequence $\left \{\sqrt {n}\right \}$
  • William A. Veech — Invariant distributions for interval exchange transformations
  • Yaroslav Vorobets — Notes on the Schreier graphs of the Grigorchuk group
  • Benjamin Weiss — Minimal models for free actions
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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