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Aspects of Ergodic, Qualitative and Statistical Theory of Motion

  • Giovanni Gallavotti
  • Federico Bonetto
  • Guido Gentile

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-X
  2. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 1-26
  3. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 27-71
  4. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 73-108
  5. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 109-153
  6. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 155-187
  7. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 189-226
  8. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 227-289
  9. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 291-325
  10. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 327-357
  11. Giovanni Gallavotti, Federico Bonetto, Guido Gentile
    Pages 359-396
  12. Back Matter
    Pages 397-438

About this book

Introduction

 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.

Keywords

Asonov Theory Chaotic Dynamics Ergodic Theory of Maps Ergodicity Gibbs State KAM Theory Renormalization group mathematical physics

Authors and affiliations

  • Giovanni Gallavotti
    • 1
  • Federico Bonetto
    • 2
  • Guido Gentile
    • 3
  1. 1.Dipartimento di FisicaUniversità degli Studi di Roma “La Sapienza”RomaItaly
  2. 2.School of Mathematics Georgia TechAtlantaUSA
  3. 3.Dipartimento di MatematicaUniversità Roma TreRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05853-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07416-5
  • Online ISBN 978-3-662-05853-4
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site
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