EQUILIBRIUM STATES IN ERGODIC THEORY by Gerhard Keller ( 9780521595346 )

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Title:

EQUILIBRIUM STATES IN ERGODIC THEORY

By:

Gerhard Keller

Format:

Paperback

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£47.99

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£41.99

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ISBN 10:

0521595347

ISBN 13:

9780521595346

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

22 January, 1998

Series:

London Mathematical Society Student Texts 42

Pages:

192

Description:

Based on a one semester course, this book provides a self contained introduction to the ergodic theory of equilibrium states.

Synopsis:

This book provides a detailed introduction to the ergodic theory of equilibrium states giving equal weight to two of its most important applications, namely to equilibrium statistical mechanics on lattices and to (time discrete) dynamical systems. It starts with a chapter on equilibrium states on finite probability spaces which introduces the main examples for the theory on an elementary level. After two chapters on abstract ergodic theory and entropy, equilibrium states and variational principles on compact metric spaces are introduced emphasizing their convex geometric interpretation. Stationary Gibbs measures, large deviations, the Ising model with external field, Markov measures, Sinai-Bowen-Ruelle measures for interval maps and dimension maximal measures for iterated function systems are the topics to which the general theory is applied in the last part of the book. The text is self contained except for some measure theoretic prerequisites which are listed (with references to the literature) in an appendix.

Illustrations:

20 b/w illus.

Publication:

Imprint:

Cambridge University Press

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Returnable

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EQUILIBRIUM STATES IN ERGODIC THEORY