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Basic Ergodic Theory

  • M. G. Nadkarni

Part of the Texts and Readings in Mathematics book series (volume 6)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. M. G. Nadkarni
    Pages 1-12
  3. M. G. Nadkarni
    Pages 34-43
  4. M. G. Nadkarni
    Pages 53-62
  5. M. G. Nadkarni
    Pages 63-67
  6. M. G. Nadkarni
    Pages 68-82
  7. M. G. Nadkarni
    Pages 87-97
  8. M. G. Nadkarni
    Pages 98-119
  9. M. G. Nadkarni
    Pages 120-132
  10. M. G. Nadkarni
    Pages 133-148
  11. M. G. Nadkarni
    Pages 149-175
  12. Back Matter
    Pages 177-190

About this book

Introduction

This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. In the third edition a chapter entitled 'Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.

Authors and affiliations

  • M. G. Nadkarni
    • 1
  1. 1.University of MumbaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-93-86279-53-8
  • Copyright Information Hindustan Book Agency (India) 2013
  • Publisher Name Hindustan Book Agency, Gurgaon
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-93-80250-43-4
  • Online ISBN 978-93-86279-53-8
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • Buy this book on publisher's site