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＜電子ブック＞
Aspects of Ergodic, Qualitative and Statistical Theory of Motion / by Giovanni Gallavotti, Federico Bonetto, Guido Gentile
(Theoretical and Mathematical Physics. ISSN:18645887)

版	1st ed. 2004.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	X, 440 p : online resource
著者標目	*Gallavotti, Giovanni author Bonetto, Federico author Gentile, Guido author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:System theory LCSH:Mathematical physics LCSH:Physics FREE:Analysis FREE:Complex Systems FREE:Theoretical, Mathematical and Computational Physics FREE:Classical and Continuum Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-662-05853-4

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