SmartSellTM - The New Way to Sell Online

Shop over a million Toys in our Huge New Range

Introduction to Smooth Ergodic Theory

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 the absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. The authors also present a detailed description of all basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature. This book is aimed at graduate students specialising 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. The book is self-contained and only a basic knowledge of real analysis, measure theory, differential equations, and topology is required and, even so, the authors provide the reader with the necessary background definitions and results.
Product Details

Table of Contents

Table of contents: The core of the theory: Examples of hyperbolic dynamical systems General theory of Lyapunov exponents Lyapunov stability theory of nonautonomous equations Elements of the nonuniform hyperbolicity theory Cocycles over dynamical systems The Multiplicative Ergodic Theorem Local manifold theory Absolute continuity of local manifolds Ergodic properties of smooth hyperbolic measures Geodesic flows on surfaces of nonpositive curvature Selected advanced topics: Cone technics Partially hyperbolic diffeomorphisms with nonzero exponents More examples of dynamical systems with nonzero Lyapunov exponents Anosov rigidity C^1 pathological behavior: Pugh's example Bibliography Index

About the Author

Luis Barreira, Instituto Superior Tecnico, Lisbon, Portugal. Yakov Pesin, Pennsylvania State University, State College, PA, USA.

Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 5% commission by selling Introduction to Smooth Ergodic Theory (Graduate Studies in Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top