Introduction to Smooth Ergodic Theory - Couverture souple

Barreira, Luis; Pesin, Yakov

 
9781470473075: Introduction to Smooth Ergodic Theory
Couverture souple
ISBN 10 : 1470473070 ISBN 13 : 9781470473075
Editeur : American Mathematical Society, 2023

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Luis Barreira, Universidade de Lisboa, Lisbon, Portugal.

Yakov Pesin, Pennsylvania State University, University Park, PA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2023
Langue
anglais
ISBN 10 
1470473070
ISBN 13 
9781470473075
Reliure
Broché
Numéro d'édition
2
Nombre de pages
340
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780821898536: Introduction to Smooth Ergodic Theory

Edition présentée

ISBN 10 :  0821898531 ISBN 13 :  9780821898536
Editeur : American Mathematical Society, 2013
Couverture rigide