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

• 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
• Physical Description: 1 online resource (216 p.)

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 latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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