Descriptive Set Theory and Dynamical Systems [Paperback]

This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.This volume contains a collection of survey papers by leading researchers covering a wide variety of recent developments in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. It provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.This volume contains a collection of survey papers by leading researchers covering a wide variety of recent developments in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. It provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This collection of survey papers by leading researchers covers a wide variety of recent developments in these subjects and their interconnections. Researchers and graduate students interested in either of these areas will find this volume to be an excellent introduction to problems and research directions arising from their interconnections.Preface; 1. An overview of infinite ergodic theory J. Aaronson; 2. The multifarious Poincar? recurrence theorem V. Bergelson; 3. Groups of automorphisms of a measure space and weak equivalence of cocycles S. Bezuglyi; 4. A descriptive view of ergodic theory M. Foreman; 5. StructurelãÂ