Topics in dynamics and ergodic theory

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey...

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Bibliographic Details
Main Authors: Bezuglyi, Sergey, Koli͡ada, S. F. (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2003
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Introductory talk at the opening of the conference / Anatole M. Stepin
  • Minimal idempotents and ergodic Ramsey theory / Vitaly Bergelson
  • Symbolic dynamics and topological models in dimensions 1 and 2 / Andre de Carvalho and Toby Hall
  • Markov odometers / Anthony H. Dooley
  • Geometric proofs of Mather's connecting and accelerating theorems / Vadim Kaloshin
  • Structural stability in one dimensional dynamics / Oleg Kozlovski
  • Periodic points of nonexpansive maps: a survey / Bas Lemmens
  • Arithmetic dynamics / Nikita Sidorov
  • The defect of factor maps and finite equivalence of dynamical systems / Klaus Thomsen
  • Actions of amenable groups / Benjamin Weiss