Introduction to Smooth Ergodic Theory (Graduate Studies in Mathematics)

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9780821898536: Introduction to Smooth Ergodic Theory (Graduate Studies in Mathematics)

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 a revised and considerably expanded version of the previous book by the same authors Lyapunov Exponents and Smooth Ergodic Theory (University Lecture Series, Vol. 23, AMS, 2002). 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. 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.

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About the Author:

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

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Luis Barreira; Yakov Pesin
ISBN 10: 0821898531 ISBN 13: 9780821898536
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218985360000000

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Luis Barreira, Yakov Pesin
Editore: American Mathematical Society, United States (2013)
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Descrizione libro American Mathematical Society, United States, 2013. Microfilm. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821898536

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Barreira, Luis
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Descrizione libro Condizione libro: New. Codice libro della libreria 19665859-n

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Descrizione libro Amer Mathematical Society, 2013. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821898531

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Descrizione libro American Mathematical Society, United States, 2013. Microfilm. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821898536

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ISBN 10: 0821898531 ISBN 13: 9780821898536
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Descrizione libro American Mathematical Society 2013-07-30, Providence, Rhode Island, 2013. hardback. Condizione libro: New. Codice libro della libreria 9780821898536

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Descrizione libro American Mathematical Society. Microfilm. Condizione libro: new. BRAND NEW, Introduction to Smooth Ergodic Theory, Luis Barreira, Yakov Pesin, 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. Codice libro della libreria B9780821898536

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Descrizione libro Amer Mathematical Society, 2013. Condizione libro: New. Comprehensive introduction consisting of two parts the core of the theory and then the more advanced topics. Series: Graduate Studies in Mathematics. Num Pages: 281 pages, Illustrations. BIC Classification: PBWS. Category: (P) Professional & Vocational. Dimension: 262 x 188 x 20. Weight in Grams: 664. . 2013. Hardcover. . . . . . Codice libro della libreria V9780821898536

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Luis Barreira
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Descrizione libro American Mathematical Society, 2013. UNK. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821898536

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BARREIRA & PESIN
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Descrizione libro American Mathematical Society, 2013. Hardback. Condizione libro: NEW. 9780821898536 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0631344

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