Equilibrium States in Ergodic Theory (London Mathematical Society Student Texts) by Gerhard Keller
Equilibrium States in Ergodic Theory (London Mathematical Society Student Texts)
Author: Gerhard Keller
Title: Equilibrium States in Ergodic Theory (London Mathematical Society Student Texts)
ISBN10: 0521594200
ISBN13: 978-0521594202
Format: .PDF .EPUB .FB2
Pages:
Publisher: Cambridge University Press; Text is Free of Markings edition (February 28, 1998)
Language: English
Size pdf: 1712 kb
Size epub: 1246 kb
Rating: 3.9 ✪
Votes: 385
Category: Science & Math
Subcategory: Mathematics
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.