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Aspects of Ergodic, Qualitative and Statistical Theory of Motion (Theoretical and Mathematical Physics)

Aspects of Ergodic, Qualitative and Statistical Theory of Motion (Theoretical and Mathematical Physics) Cover

 

Synopses & Reviews

Publisher Comments:

Intended for beginners in ergodic theory, this introductory textbook 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 Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.

Synopsis:

 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.

Table of Contents

General Qualitative Properties.- Ergodicity and Ergodic Points.- Entropy and Complexity.- Markovian Pavements.- Gibbs Distributions.- General Properties of Gibbs' Distributions.- Analiticity, Singularity and Phase Transitions.- Special Ergodic Theory Problems in Nonchaotic Dynamics.- Special Problems in Chaotic Dynamics.

Product Details

ISBN:
9783642074165
Publisher:
Springer
Location:
Berlin, Heidelberg
Author:
Gentile, Guido
Author:
Bonetto, Federico
Author:
Gallavotti, Giovanni
Subject:
Physics
Subject:
Asonov Theory
Subject:
Chaotic Dynamics
Subject:
Ergodic Theory of Maps
Subject:
Ergodicity
Subject:
Gibbs State
Subject:
KAM Theory
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Classical Continuum Physics
Subject:
Mathematics-Calculus
Subject:
Language, literature and biography
Subject:
Physics and Astronomy
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2004
Series:
Theoretical and Mathematical Physics
Publication Date:
20101119
Binding:
TRADE PAPER
Language:
English
Pages:
448
Dimensions:
235 x 155 mm 667 gr

Related Subjects

Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math

Aspects of Ergodic, Qualitative and Statistical Theory of Motion (Theoretical and Mathematical Physics)
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Product details 448 pages Not Avail - English 9783642074165 Reviews:
"Synopsis" by ,  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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