Theoretical and Mathematical Physics

Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Authors: Gallavotti, Giovanni, Bonetto, Federico, Gentile, Guido

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eBook 71,39 €
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  • ISBN 978-3-662-05853-4
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Hardcover 88,35 €
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Softcover 88,35 €
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  • ISBN 978-3-642-07416-5
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About this book

 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.

Reviews

From the reviews:

"The book is centered on the symbiotic relationship between ergodic theory and statistical mechanics, in particular on its modern applications to chaotic and non-chaotic dynamical systems. In slightly more than 400 pages the authors … discuss in detail important applications of the theory. This is achieved by treating many important and interesting questions as ‘guided problems’ … . the entire book is tightly and nicely knitted together." (Luc Rey-Bellet, Mathematical Reviews, 2005h)

"The main novelty is the systematic treatment of a few characteristic problems of ergodic theory by a unified method in terms of convergent or divergent power series expansions. … The problems at the end of every section are an essential complement to the text … ." (Nasir N. Ganikhodjaev, Zentralblatt MATH, Vol. 1065, 2005)


Table of contents (10 chapters)

  • General Qualitative Properties

    Gallavotti, Giovanni (et al.)

    Pages 1-26

    Preview Buy Chapter 30,19 €
  • Ergodicity and Ergodic Points

    Gallavotti, Giovanni (et al.)

    Pages 27-71

    Preview Buy Chapter 30,19 €
  • Entropy and Complexity

    Gallavotti, Giovanni (et al.)

    Pages 73-108

    Preview Buy Chapter 30,19 €
  • Markovian Pavements

    Gallavotti, Giovanni (et al.)

    Pages 109-153

    Preview Buy Chapter 30,19 €
  • Gibbs Distributions

    Gallavotti, Giovanni (et al.)

    Pages 155-187

    Preview Buy Chapter 30,19 €

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-3-662-05853-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,35 €
price for Spain (gross)
  • ISBN 978-3-540-40879-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 88,35 €
price for Spain (gross)
  • ISBN 978-3-642-07416-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Aspects of Ergodic, Qualitative and Statistical Theory of Motion
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-05853-4
DOI
10.1007/978-3-662-05853-4
Hardcover ISBN
978-3-540-40879-6
Softcover ISBN
978-3-642-07416-5
Series ISSN
1864-5879
Edition Number
1
Number of Pages
X, 440
Topics