E-Book, Englisch, 216 Seiten
Reihe: Princeton Legacy Library
Furstenberg Recurrence in Ergodic Theory and Combinatorial Number Theory
Course Book
ISBN: 978-1-4008-5516-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 216 Seiten
Reihe: Princeton Legacy Library
ISBN: 978-1-4008-5516-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
FrontMatter, pg. i
CONTENTS, pg. v
Foreword from the Porter Lectures Committee, pg. ix
Preface, pg. xi
Introduction, pg. 1
Chapter 1. Recurrence and Uniform Recurrence in Compact Spaces, pg. 19
Chapter 2. Van der Waerden's Theorem, pg. 40
Chapter 3. Invariant Measures on Compact Spaces, pg. 59
Chapter 4. Some Special Ergodic Theorems, pg. 79
Chapter 5. Measure Theoretic Preliminaries, pg. 98
Chapter 6. Structure of Measure Preserving Systems, pg. 117
Chapter 7. The Multiple Recurrence Theorem, pg. 140
Chapter 8. Proximality in Dynamical Systems and the Theorems of Hindman and Rado, pg. 157
Chapter 9. The Fine Structure of Recurrence and Mixing, pg. 175
Bibliography, pg. 195
Index, pg. 201
