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Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Aspects of Ergodic, Qualitative and Statistical Theory of Motion
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Field name Details
Dewey Class 515
Title Aspects of Ergodic, Qualitative and Statistical Theory of Motion ([EBook] /) / by Giovanni Gallavotti, Federico Bonetto, Guido Gentile.
Author Gallavotti, Giovanni
Added Personal Name Bonetto, Federico author.
Gentile, Guido author.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2004.
Physical Details X, 440 p. : online resource.
Series Texts and monographs in physics 1864-5879
ISBN 9783662058534
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-05853-4
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