Recurrence in Ergodic Theory and Combinatorial Number Theory /

Recurrence in Ergodic Theory and Combinatorial Number Theory / / Harry Furstenberg.

Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory.Originally published in 1981.The Princeton Legacy Library uses the l...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
VerfasserIn:
Furstenberg, Harry,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1981
Year of Publication:2014
Edition:Course Book
Language:English
Series:Porter Lectures ; 10
Online Access:
Physical Description:1 online resource (216 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • Foreword from the Porter Lectures Committee
  • Preface
  • Introduction
  • Part I. Recurrence In Dynamical Systems
  • Chapter 1. Recurrence and Uniform Recurrence in Compact Spaces
  • Chapter 2. Van der Waerden's Theorem
  • Part II. Recurrence In Measure Preserving Systems
  • Chapter 3. Invariant Measures on Compact Spaces
  • Chapter 4. Some Special Ergodic Theorems
  • Chapter 5. Measure Theoretic Preliminaries
  • Chapter 6. Structure of Measure Preserving Systems
  • Chapter 7. The Multiple Recurrence Theorem
  • Part III. Dynamics And Large Sets Of Integers
  • Chapter 8. Proximality in Dynamical Systems and the Theorems of Hindman and Rado
  • Chapter 9. The Fine Structure of Recurrence and Mixing
  • Bibliography
  • Index
  • Backmatter

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