Ergodic Theory Via Joinings - Mathematical Surveys and Monographs No. 101 (Hardback)
  • Ergodic Theory Via Joinings - Mathematical Surveys and Monographs No. 101 (Hardback)
zoom

Ergodic Theory Via Joinings - Mathematical Surveys and Monographs No. 101 (Hardback)

(author)
£94.50
Hardback 384 Pages / Published: 28/02/2003
  • Not available

This product is currently unavailable.

  • This item has been added to your basket
This book introduces modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective. Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.Topics treated in the book include: the interface between topological dynamics and ergodic theory; the theory of distal systems due to H. Furstenberg and R. Zimmer - presented for the first time in monograph form; B. Host's solution of Rohlin's question on the mixing of all orders for systems with singular spectral type; the theory of simple systems; a dynamical characterization of Kazhdan groups; Weiss' relative version of the Jewett-Krieger theorem; Ornstein's isomorphism theorem; and, a local variational principle and its applications to the theory of entropy pairs.The book is intended for graduate students who have a good command of basic measure theory and functional analysis and who would like to master the subject. It contains many detailed examples and many exercises, usually with indications of solutions. It can serve equally well as a textbook for graduate courses, for independent study, supplementary reading, or as a streamlined introduction for non-specialists who wish to learn about modern aspects of ergodic theory.

Publisher: American Mathematical Society
ISBN: 9780821833728
Number of pages: 384
Weight: 904 g

You may also be interested in...

Mathematical Techniques
Added to basket
Chaos: A Very Short Introduction
Added to basket
Mathematics for Economics and Business
Added to basket
Doing Bayesian Data Analysis
Added to basket
Linear Algebra
Added to basket
£31.49
Paperback
Mathematics for Economics and Finance
Added to basket
The Economist Numbers Guide 6th Edition
Added to basket
Mathematics for Economists
Added to basket
Networks: A Very Short Introduction
Added to basket
Probability
Added to basket
£26.49
Paperback
About Time
Added to basket
£10.99
Paperback
Tensor Calculus for Physics
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.