Recurrence in Ergodic Theory and Combinatorial Number Theory - Harry Furstenberg

Recurrence in Ergodic Theory and Combinatorial Number Theory

Buch | Softcover
216 Seiten
2014
Princeton University Press (Verlag)
978-0-691-61536-3 (ISBN)
47,35 inkl. MwSt
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
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.

*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

Erscheint lt. Verlag 14.7.2014
Reihe/Serie Princeton Legacy Library
Verlagsort New Jersey
Sprache englisch
Maße 178 x 254 mm
Gewicht 369 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 0-691-61536-5 / 0691615365
ISBN-13 978-0-691-61536-3 / 9780691615363
Zustand Neuware
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