Book contents
- Frontmatter
- Contents
- Preface
- 1 An Overview of Infinite Ergodic Theory
- 2 The Multifarious Poincaré Recurrence Theorem
- 3 Groups of Automorphisms of Measure Space and Weak Equivalence of Cocycles
- 4 A Descriptive View of Ergodic Theory
- 5 Structure Theory as a Tool in Topological Dynamics
- 6 Orbit Properties of Pseudo-homeomorphism Groups of a Perfect Polish Space and their Cocycles
- 7 Descriptive Dynamics
- 8 Polish Groupoids
- 9 A Survey of Generic Dynamics
Preface
Published online by Cambridge University Press: 05 August 2013
- Frontmatter
- Contents
- Preface
- 1 An Overview of Infinite Ergodic Theory
- 2 The Multifarious Poincaré Recurrence Theorem
- 3 Groups of Automorphisms of Measure Space and Weak Equivalence of Cocycles
- 4 A Descriptive View of Ergodic Theory
- 5 Structure Theory as a Tool in Topological Dynamics
- 6 Orbit Properties of Pseudo-homeomorphism Groups of a Perfect Polish Space and their Cocycles
- 7 Descriptive Dynamics
- 8 Polish Groupoids
- 9 A Survey of Generic Dynamics
Summary
During July 1-5, 1996 an International Workshop on Descriptive Set Theory and Dynamical Systems took place at the Centre International de Rencontres Mathématiques (CIRM) of Marseille-Luminy, France. The aim of this meeting was to bring together mathematicians interested in these two areas and their interrelationships. The idea came out of this, very successful, conference to put together a collection of survey papers related to these fields, and their growing interactions, that would be accessible to a wide audience of students and researchers. The present volume is the realization of this idea.
The contributions provide introductions to a broad spectrum of topics and are meant to guide the reader to the most recent developments in many active areas of research. Here is a bird's eye view of the subjects covered here:
1) J. Aaronson: ergodic theory of non-singular transformations with particular emphasis on transformations admitting σ-finite infinite invariant measures.
2) V. Bergelson: recurrence theorems in ergodic theory and their applications in combinatorics.
3) S. Bezuglyi: structure of cocycles for non-singular group actions.
4) M. Foreman: descriptive aspects of ergodic theory.
5) E. Glasner: topological dynamics with particular emphasis on the structure theory of minimal dynamical systems and its applications.
6) V. Ya. Golodets, V. M. Kulagin, and S.D. Sinel'shchikov: cocycles in generic topological dynamics.
7) A.S. Kechris: the descriptive theory of Polish group actions.
8) A. B. Ramsay: aspects of the theory of groupoids.
9) B. Weiss: survey of topics in generic dynamics.
- Type
- Chapter
- Information
- Descriptive Set Theory and Dynamical Systems , pp. vii - viiiPublisher: Cambridge University PressPrint publication year: 2000