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  • Dynamical Systems and Ergodic Theory by Mark Pollicott (English) Paperback Book

    • Item No : 146485639661
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      Dynamical Systems and Ergodic Theory

      by Mark Pollicott, Michiko Yuri

      This book is an introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. The authors provide a number of applications, principally to number theory and arithmetic progressions (through Van der Waerden's theorem and Szemerdi's theorem). This text is suitable for advanced undergraduate and beginning graduate students.

      FORMAT
      Paperback
      LANGUAGE
      English
      CONDITION
      Brand New


      Publisher Description

      This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).

      Author Biography

      Pollicott-University of Cambridge

      Table of Contents

      Introduction and preliminaries; Part I. Topological Dynamics: 1. Examples and basic properties; 2. An application of recurrence to arithmetic progressions; 3. Topological entropy; 4. Interval maps; 5. Hyperbolic toral automorphisms; 6. Rotation numbers; Part II. Measurable Dynamics: 7. Invariant measures; 8. Measure theoretic entropy; 9. Ergodic measures; 10. Ergodic theorems; 11. Mixing; 12. Statistical properties; Part III. Supplementary Chapters: 13. Fixed points for the annulus; 14. Variational principle; 15. Invariant measures for commuting transformations; 16. An application of ergodic theory to arithmetic progressions.

      Review

      ' ... the volume achieves its goals well. It covers a broad range of topics clearly and succinctly ... There is much material here to interest and stimulate the reader ... I thoroughly recommend it to anyone of has some knowledge of the subject matter and wants a concise and well presented reference for more advanced concepts.' UK Non-Linear News

      Promotional "Headline"

      Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.

      Description for Bookstore

      This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course.

      Description for Library

      This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course.

      Details

      ISBN0521575990
      Author Michiko Yuri
      Short Title DYNAMICAL SYSTEMS & ERGODIC TH
      Pages 196
      Publisher Cambridge University Press
      Series London Mathematical Society Student Texts
      Language English
      ISBN-10 0521575990
      ISBN-13 9780521575997
      Media Book
      Format Paperback
      DEWEY 515.42
      Series Number 40
      Year 1998
      Publication Date 1998-01-31
      Imprint Cambridge University Press
      Place of Publication Cambridge
      Country of Publication United Kingdom
      Affiliation Sapporo University, Japan
      Illustrations Worked examples or Exercises
      DOI 10.1604/9780521575997
      Audience Professional and Scholarly
      UK Release Date 1998-01-29
      AU Release Date 1998-01-29
      NZ Release Date 1998-01-29

      TheNile_Item_ID:91372611;
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