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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Equilibrium States in Ergodic Theory

Equilibrium States in Ergodic Theory

Keller, Gerhard
Bruce, J. W.
Gerhard, Keller

Paperback

Series: London Mathematical Society Student Texts, Book 42

CalculusGeneral Mathematics

ISBN10: 0521595347
ISBN13: 9780521595346
Publisher: Cambridge University Press
Published: Jan 22 1998
Pages: 192
Weight: 0.50
Height: 0.43 Width: 6.01 Depth: 8.94
Language: English
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 that 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 that are listed (with references to the literature) in an appendix.

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