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Dynamical Systems and Ergodic Theory : London Mathematical Society Student Texts - Mark Pollicott

Dynamical Systems and Ergodic Theory

London Mathematical Society Student Texts

Hardcover

Published: 13th February 1998
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This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).

' ... the volume achieves its goals well. It covers a broad range of topics clearly and succinctly ... There is much material here to interest and stimulate the reader ... I thoroughly recommend it to anyone of has some knowledge of the subject matter and wants a concise and well presented reference for more advanced concepts.' UK Non-Linear News

Introduction and preliminaries
Topological Dynamics
Examples and basic properties
An application of recurrence to arithmetic progressions
Topological entropy
Interval maps
Hyperbolic toral automorphisms
Rotation numbers
Measurable Dynamics
Invariant measures
Measure theoretic entropy
Ergodic measures
Ergodic theorems
Mixing
Statistical properties
Supplementary
Fixed points for the annulus
Variational principle
Invariant measures for commuting transformations
An application of ergodic theory to arithmetic progressions
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521572941
ISBN-10: 0521572940
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 196
Published: 13th February 1998
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.42
Weight (kg): 0.46