(Manchester University and Sapporo University)## Mark Pollicott and Michiko Yuri

Published by Cambridge University Press (January 1998).

London Mathematical Society Students Texts, No. 40

- Contents

- Introduction

- Preliminaries
- Examples and basic properties
- An application of recurrence to arithmetic progressions
- Topological entropy
- Interval maps
- Hyperbolic toral automorphisms
- Rotation numbers
- Invariant measures
- Measure theoretic entropy
- Ergodic measures
- Ergodic theorems
- Mixing
- Statistical properties in ergodic theory
- Fixed points for homeomorphisms of the annulus
- The variational principle
- Invariant measures for commuting transformations
- Multiple recurrence and Szemerdi's theorem
- Index

- Corrections

Markov extensions

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