Introduction to Smooth Ergodic Theory

Introduction to Smooth Ergodic Theory
Author :
Publisher : American Mathematical Society
Total Pages : 355
Release :
ISBN-10 : 9781470470654
ISBN-13 : 1470470659
Rating : 4/5 (659 Downloads)

Book Synopsis Introduction to Smooth Ergodic Theory by : Luís Barreira

Download or read book Introduction to Smooth Ergodic Theory written by Luís Barreira and published by American Mathematical Society. This book was released on 2023-05-19 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapunov exponents and its applications to the stability theory of differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature, is also presented. There are more than 80 exercises. The book is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wishes to get a working knowledge of smooth ergodic theory and to learn how to use its tools. It can also be used as a source for special topics courses on nonuniform hyperbolicity. The only prerequisite for using this book is a basic knowledge of real analysis, measure theory, differential equations, and topology, although the necessary background definitions and results are provided. In this second edition, the authors improved the exposition and added more exercises to make the book even more student-oriented. They also added new material to bring the book more in line with the current research in dynamical systems.


Introduction to Smooth Ergodic Theory Related Books

Introduction to Smooth Ergodic Theory
Language: en
Pages: 355
Authors: Luís Barreira
Categories: Mathematics
Type: BOOK - Published: 2023-05-19 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second
Introduction to Smooth Ergodic Theory
Language: en
Pages: 355
Authors: Luís Barreira
Categories: Mathematics
Type: BOOK - Published: 2023-04-28 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second
Smooth Ergodic Theory of Random Dynamical Systems
Language: en
Pages: 233
Authors: Pei-Dong Liu
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment o
An Introduction to Ergodic Theory
Language: en
Pages: 268
Authors: Peter Walters
Categories: Mathematics
Type: BOOK - Published: 2000-10-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence pr
Lyapunov Exponents and Smooth Ergodic Theory
Language: en
Pages: 166
Authors: Luis Barreira
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

A systematic introduction to the core of smooth ergodic theory. An expanded version of an earlier work by the same authors, it describes the general (abstract)