Last edited by Kazrashura

Tuesday, May 12, 2020 | History

13 edition of **Ergodic theory** found in the catalog.

- 153 Want to read
- 34 Currently reading

Published
**1989**
by Cambridge University Press in Cambridge, New York
.

Written in English

- Ergodic theory.

**Edition Notes**

Includes bibliographical referneces (p. [302]-321) and index.

Statement | Karl Petersen. |

Series | Cambridge studies in advanced mathematics ;, 2 |

Classifications | |
---|---|

LC Classifications | QA313 .P47 1989 |

The Physical Object | |

Pagination | xi, 329 p. : |

Number of Pages | 329 |

ID Numbers | |

Open Library | OL1619481M |

ISBN 10 | 0521236320, 0521389976 |

LC Control Number | 91163231 |

Ergodic Theory: Probability and Ergodic Theory Workshops February , February , University of North Carolina, Chapel Hill (Contemporary Mathematics) and a great selection of related books, art and collectibles available now at stichtingdoel.com Ergodic Theory, Groups, and Geometry book. Read 2 reviews from the world's largest community for readers. The study of group actions on manifolds is the 3/5.

Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dynaƯ mical systems. It is not easy to give a simple deﬁnition of Ergodic Theory because it uses techniques and examples from many ﬁelds such as probability theory, statis-tical mechanics, number theory, vector ﬁelds on manifolds, group actions of homogeneous spaces and many more. The word ergodic is a mixture of two Greek words: ergon (work) and odos (path).

Oct 06, · The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces.4/5(3). Ergodic theory lies in somewhere among measure theory, analysis, proba-bility, dynamical systems, and di⁄erential equations and can be motivated from many di⁄erent angles. We will choose one speci–c point of view but there are many others. Let x_ = f (x) be an ordinary di⁄erential equation. The problem of studying di⁄erential.

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This was my first exposure to ergodic theory, other than what one picks up here and there in connection with other subjects. The content is summarized in another review, so no need to do it again.

The book requires little previous knowledge of probability theory and of Ergodic theory book by: Sep 24, · Each of the basic aspects of ergodic theory--examples, convergence theorems, recurrence properties, and entropy--receives a basic and a specialized treatment. The author's accessible style and the profusion of exercises, references, summaries, and historical remarks make this a useful book for graduate students or self study.5/5(1).

I really like (and recommend) Billingsley's Ergodic Theory and Information. It is a well-written book with very clear explanations. For example, his treatment of entropy tops those in both Walter's An Introduction to Ergodic Theory and Petersen's Ergodic Theory, both of which are also good books though.

The scholarship involved in this work will be appreciated by workers in the field and by generations of research students. I personally think this is an excellent book. It is a book which can be explored at leisure and has a place in the library of anyone with a more than passing interest in Ergodic theory book theory.’Cited by: Ergodic theory, like probability theory, is based on general notions of measure theory.

Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical system when it is allowed to run for a long time. This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups.

It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability.

Ergodic Theory - Ebook written by Karl E. Petersen. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Ergodic Theory. The most basic book on Ergodic theory that I have come across is, Introduction to Dynamical Systems, By Brin and Stuck. This book is actually used as an undergraduate text, but as a first contact with the subject, this will be perfect.

Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be graduallyBrand: Springer-Verlag Berlin Heidelberg.

Feb 15, · 'The book provides the student or researcher with an excellent reference and/or base from which to move into current research in ergodic theory.

This book would make an excellent text for a graduate course on ergodic theory.' Douglas P. Dokken, Mathematical Reviews ' Viana and Oliveira have written yet another excellent textbook!Author: Marcelo Viana. In probability theory, an ergodic dynamical system is one that, broadly speaking, has the same behavior averaged over time as averaged over the space of all the system's states in its phase stichtingdoel.com physics the term implies that a system satisfies the ergodic hypothesis of thermodynamics.

A random process is ergodic if its time average is the same as its average over the probability space. Oct 10, · Ergodic theory is the bit of mathematics that concerns itself with studying the evolution of a dynamic system. Ergodicity involves taking into account the past and future, to get an appreciation of the distributive functions of a system.

I know th. I know nothing about ergodic theory, and one of my professors suggested me to read about it and go deep so I would be grateful if anyone could tell me what the best books on ergodic theory are for.

'The book provides the student or researcher with an excellent reference and/or base from which to move into current research in ergodic theory.

This book would make an excellent text for a graduate course on ergodic theory.' Douglas P. Dokken Source: Mathematical Reviews ' Viana and Oliveira have written yet another excellent textbook!Author: Marcelo Viana, Krerley Oliveira.

The study of dynamical systems forms a vast and rapidly developing field even when one considers only activity whose methods derive mainly from measure theory and functional analysis. Karl Petersen has written a book which presents the fundamentals of the ergodic theory of point transformations and then several advanced topics which are currently undergoing intense research/5(3).

Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems.

Oct 06, · This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory.

The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book.

The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties 4/5(2).

I think this book is necessary for anyone who wants to study Ergodic Theory: you can find in it all the fundamental stichtingdoel.com notice that it requires a good mathematical skill. Reading and understanding it is not always an easy task. Ergodic Theory in Statistical Mechanics by Farquhar, I.E.

and a great selection of Volume 7. This is an ex-library book and may have the usual library/used-book markings stichtingdoel.com book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the.

Book Projects. Contact. Ergodic theory with a view towards number theory. by Manfred Einsiedler and Thomas Ward. Springer Graduate Text in Mathematics Volume Errata file.

This is a project that aims to develop enough of the basic machinery of ergodic theory to describe some of the recent applications of ergodic theory to number theory. Ergodic theory has its roots in Maxwell’s and Boltzmann’s kinetic theory of gases and was born as a mathematical theory around by the groundbreaking works of von Neumann and Birkhoff.

In the s, Furstenberg showed how to translate questions in combinatorial number theory into ergodic theory. This inspired a new.Mar 01, · Ergodic Theory of Numbers (ETN) grew out of a summer course given for first-year graduate students and focuses on the interplay between number theory and ergodic theory.

(Here, number theory refers to the distribution of digits in various .This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic.