Aspects of Ergodic, Qualitative and Statistical Theory of Motion / Edition 1

Aspects of Ergodic, Qualitative and Statistical Theory of Motion / Edition 1

by Giovanni Gallavotti, Federico Bonetto, Guido Gentile
     
 

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ISBN-10: 3642074162

ISBN-13: 9783642074165

Pub. Date: 11/19/2010

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783642074165
Publisher:
Springer Berlin Heidelberg
Publication date:
11/19/2010
Series:
Theoretical and Mathematical Physics Series
Edition description:
Softcover reprint of hardcover 1st ed. 2004
Pages:
440
Product dimensions:
9.21(w) x 6.14(h) x 0.91(d)

Table of Contents

1 General Qualitative Properties.- 2 Ergodicity and Ergodic Points.- 3 Entropy and Complexity.- 4 Markovian Pavements.- 5 Gibbs Distributions.- 6 General Properties of Gibbs and SRB Distributions.- 7 Analyticity, Singularity and Phase Transitions.- 8 Special Ergodic Theory Problems in Nonchaotic Dynamics.- 9 Some Special Topics in KAM Theory.- 10 Special Problems in Chaotic Dynamics.- A Nonequilibrium Thermodynamics? Twenty-Seven Comments.- Name Index.- Citations Index.

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