Description
Book SynopsisTopological 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
Table of Contents*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
