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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
M G Nadkarni |

ISBN: | 9783034888394 3034888392 |

OCLC Number: | 851815500 |

Description: | 1 online resource (ix, 150 pages). |

Contents: | 1 The Poincare Recurrence Lemma.- 2 Ergodic Theorems of Birkhoff and von Neumann.- 3 Ergodicity.- 4 Mixing Conditions and Their Characterisations.- 5 Bernoulli Shift and Related Concepts.- 6 Discrete Spectrum Theorem.- 7 Induced Automorphisms and Related Concepts.- 8 Borel Automorphisms are Polish Homeomorphisms.- 9 The Glimm-Effros Theorem.- 10 E. Hopf's Theorem.- 11 H Dye's Theorem.- 12 Flows and Their Representations.- References. |

Series Title: | Birkhäuser Advanced Texts, Basler Lehrbücher. |

Responsibility: | by M.G. Nadkarni. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"This relatively short book is, for anyone new to ergodic theory, admirably broad in scope. The exposition is clear, and the brevity of the book has not been achieved by giving terse proofs. The examples have been chosen with great care. Historical facts and many references serve to help connect the reader with literature that goes beyond the content of the book as well as explaining how the subject developed. It is easy to recommend this book for students as well as anyone who would like to learn about the descriptive approach to ergodic theory." --Mathematical Reviews (on the first edition) "The author has given an extremely clear and careful account of a large body of material. There are illuminating exercises and examples, as well as historical asides and an index. The book is, as a result, a pleasure to read and is highly recommended to graduate students and anyone else interested in ergodic theory." --Zentralblatt Math Read more...

*User-contributed reviews*