5 edition of **Smooth Ergodic Theory and Its Applications** found in the catalog.

- 72 Want to read
- 31 Currently reading

Published
**October 1, 2001**
by American Mathematical Society
.

Written in English

- Analytic geometry,
- Calculus & mathematical analysis,
- Congresses,
- Mathematics,
- Science/Mathematics,
- Ergodic theory,
- Calculus,
- Advanced

**Edition Notes**

Contributions | Anatole B. Katok (Editor), Rafael Le LA Llave (Editor), Yakov Pesin (Editor), Howard Weiss (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 867 |

ID Numbers | |

Open Library | OL9841123M |

ISBN 10 | 0821826824 |

ISBN 10 | 9780821826829 |

Nilpotent Structures in Ergodic Theory About this Title. Bernard Host, Université Paris-Est Marne-la-Vallée, Champs-sur-Marne, France and Bryna Kra, Northwestern University, Evanston, IL. Publication: Mathematical Surveys and Monographs Publication Year: ; Volume ISBNs: (print); (online)Cited by: Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years. The new edition is the first ever thoroughly revised and expanded edition of this standard text. Among the new material, much of which is not available in any other optics text, is a section on the CAT scan (computerized axial /5(2).

Introduction to Smooth Ergodic Theory About this Title. Luis Barreira, Instituto Superior Técnico, Lisbon, Portugal and Yakov Pesin, Pennsylvania State University, State College, PA. Publication: Graduate Studies in Mathematics Publication Year: ; Volume ISBNs: (print); (online)Cited by: "This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents (including geodesic flows).".

Lyapunov Exponents and Smooth Ergodic Theory About this Title. Luis Barreira, Instituto Superior Técnico, Lisboa, Portugal and Yakov B. Pesin, Pennsylvania State University, University Park, PA. Publication: University Lecture Series Publication Year Volume 23 ISBNs: (print); (online)Cited by: An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters. Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen. Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications) by Anatole Katok and Boris Hasselblatt.

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Smooth ergodic theory studies the statistical properties of differentiable dynamical systems, whose origin traces back to the seminal works of Poincaré and later, many great mathematicians who made contributions to the development of the theory.

The main topic of this volume, smooth ergodic theory, especially the theory of nonuniformly hyperbolic systems, provides the Cited by: Smooth ergodic theory also provides a foundation for numerous applications throughout mathematics (e.g., Riemannian geometry, number theory, Lie groups, and partial differential equations), as well as other sciences.

This volume serves a two-fold purpose: first, it gives a useful gateway Location: University of Texas at Austin, Austin, TX. Smooth ergodic theory also provides a foundation for numerous applications throughout mathematics (e.g., Riemannian geometry, number theory, Lie groups, and partial differential equations), as well as other sciences.

Smooth Ergodic Theory and Its Applications | Katok A., et al. (eds.) | download | B–OK. Download books for free. Find books. Smooth ergodic theory studies the statistical properties of differentiable dynamical systems, whose origin traces back to the seminal works of Poincare and later, many great mathematicians who made contributions to the development of the main topic of this volume, smooth ergodic theory, especially the theory of nonuniformly hyperbolic systems, provides the.

Buy Smooth Ergodic Theory and Its Applications from Waterstones today. Click and Collect from your local Waterstones or get FREE UK delivery on orders over £ Smooth Ergodic Theory and Its Applications: Proceedings of the Ams Summer Research Institute on Smooth Ergodic Theory and Its Applications, July (Proceedings of Symposia in Pure Mathematics) | Le LA Llave, Rafael, Pesin, Yakov, Weiss, Howard, Katok, Anatole B., AMS Summer Research Institute on Smooth Ergodic Theory and Its Applications ( Format: Gebundenes Buch.

Accordingly, the AMS Summer Research Institute on Smooth Ergodic Theory and Its Applications (Seattle, WA) had a strong educational component, including ten mini-courses on various aspects of the topic that were presented by leading experts in the field. This volume presents the proceedings of that : Tapa dura.

Smooth ergodic theory studies the statistical properties of differentiable dynamical systems, whose origin traces back to the seminal works of Poincare and later, many great mathematicians who made contributions to the development of the main topic of this volume, smooth ergodic theory, especially the theory Author: Anatole Katok, Rafael De La llave, Yakov Pesin.

It is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wants to acquire a working knowledge of smooth ergodic theory and to learn how to use its tools.

With more than 80 exercises, the book can be used as a primary textbook for an advanced course in smooth ergodic theory. Katok A, Hasselblatt B () Introduction to the modern theory of dynamical systems.

With a supplementary chapter by Katok and Leonardo Mendoza. Encyclopedia of Mathematics and its Applications, vol Cambridge University Press, Cambridge CrossRef Google Scholar. 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.

The first few chapters deal with Topological and Symbolic Dynamics. Ch.4 is devoted to Ergodic theory, and is independent on earlier chapters. This book is a revised and considerably expanded version of our book [7]. When the latter was published it became the only source of a systematic introduction to the core of Smooth Ergodic Theory.

It included the gen-eral theory of Lyapunov exponents and its applications to stability theory. This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents (including geodesic flows).Cited by: Selected Titles in This Series 69 Anatole Katok, Rafael de la Llave, Yakov Pesin, and Howard Weiss, Editors, Smooth ergodic theory and its applications (University of Washington, Seattle, ) 68 Robert S.

Doran and V. Varadarajan, Editors, The mathematical legacy of. Smooth ergodic theory also provides a foundation for numerous applications throughout mathematics (Riemannian geometry, number theory, Lie groups, and partial differential equations), as well as other sciences. This book discusses smooth ergodic theory, especially the theory of non uniformly hyperbolic systems.

The ergodic theory of smooth dynamical systems is treated. Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations.

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). The purpose of this book is the study of the variety of ergodic theoretical properties of evolution processes generated by independent applications of transformations chosen at random from a Author: Amie Wilkinson.

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.

The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics.

The exposition starts .I think another good choice is the book "Ergodic Theory: With a View Towards Number Theory" by Manfred Einsiedler and Thomas Ward,Graduate Texts in Mathematics Besides basic concepts of ergodic theory,the book also discusses the connection between ergodic theory and number theory,which is a hot topic a forthcoming second volume will discuss about entropy,drafts of the book.

This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov exponents and its applications to the stability theory of differential equations, stable manifold theory, absolute continuity, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents (including geodesic .