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Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Gebonden Engels 2004 2004e druk 9783540408796
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783540408796
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:440
Uitgever:Springer Berlin Heidelberg
Druk:2004

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Inhoudsopgave

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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        Aspects of Ergodic, Qualitative and Statistical Theory of Motion