This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorem
An outline of ergodic theory
โ Scribed by Steven Kalikow; Randall McCutcheon
- Publisher
- Cambridge University Press
- Year
- 2010
- Tongue
- English
- Leaves
- 184
- Series
- Cambridge studies in advanced mathematics, 122
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
An introduction to ergodic theory for graduate students, and a useful reference for the professional mathematician.
โฆ Table of Contents
Content: Measure-theoretic preliminaries --
Measure-preserving systems, stationary processes --
Martingales and coupling --
Entropy --
Bernoulli transformations --
Ornstein isomorphism theorem --
Varieties of mixing.
Abstract:
๐ SIMILAR VOLUMES
This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorem
<p>This book is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, t
I think this book is necessary for anyone who wants to study Ergodic Theory: you can find in it all the fundamental elements.Just notice that it requires a good mathematical skill. Reading and understanding it is not always an easy task!