CMI Library

Your cart is empty.
Normal view MARC view ISBD view

Lectures on Lyapunov exponents / Marcelo Viana, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.

By: Viana, Marcelo [author.].
Material type: TextTextSeries: Cambridge studies in advanced mathematics ; 145.Publisher: Cambridge ; New York : Cambridge University Press, 2014Description: xiv, 202 pages : UKP 40.00 illustrations ; 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781107081734 (hardback); 1107081734 (hardback).Subject(s): Lyapunov exponents | MATHEMATICS / Differential EquationsDDC classification: 515/.48 Other classification: MAT007000
Contents:
Machine generated contents note: Preface; 1. Introduction; 2. Linear cocycles; 3. Extremal Lyapunov exponents; 4. Multiplicative ergodic theorem; 5. Stationary measures; 6. Exponents and invariant measures; 7. Invariance principle; 8. Simplicity; 9. Generic cocycles; 10. Continuity; References; Index.
Summary: "The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field"-- Provided by publisher.
List(s) this item appears in: 2015-10-20
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		515.48 VIA (Browse shelf) Available 9653
Total holds: 0

Includes bibliographical references (pages 191-197) and index.

Machine generated contents note: Preface; 1. Introduction; 2. Linear cocycles; 3. Extremal Lyapunov exponents; 4. Multiplicative ergodic theorem; 5. Stationary measures; 6. Exponents and invariant measures; 7. Invariance principle; 8. Simplicity; 9. Generic cocycles; 10. Continuity; References; Index.

"The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field"-- Provided by publisher.