Aspects of Ergodic, Qualitative and Statistical Theory of Motion
By: by Giovanni Gallavotti, Federico Bonetto, Guido Gentile
Contributors: Bonetto, Federico; Gentile, Guido
Series: Texts and Monographs in Physics; Texts and Monographs in Physics
Publisher: Springer Berlin Heidelberg
Published: 2004
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 438
ISBN-13: 9783642074165; 9783662058534
Subjects: Physics
Description: Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.
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Table of contents: title: General Qualitative Properties; title: Ergodicity and Ergodic Points; title: Entropy and Complexity; title: Markovian Pavements; title: Gibbs Distributions; title: General Properties of Gibbs' Distributions; title: Analiticity, Singularity and Phase Transitions; title: Special Ergodic Theory Problems in Nonchaotic Dynamics; title: Special Problems in Chaotic Dynamics.