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Lectures on Lyapunov exponents

Viana, Marcelo.

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Lectures on Lyapunov exponents

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on Lyapunov exponents/ Marcelo Viana, Instituto Nacional de Matematica Pura e Aplicada (IMPA), Rio de Janeiro.
Author:	Viana, Marcelo.
Published:	Cambridge :Cambridge University Press, : 2014.,
Description:	xiv, 202 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	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.
Subject:	Lyapunov exponents. -
Online resource:	https://doi.org/10.1017/CBO9781139976602
ISBN:	9781139976602

Lectures on Lyapunov exponents
Viana, Marcelo.

Lectures on Lyapunov exponents[electronic resource] /Marcelo Viana, Instituto Nacional de Matematica Pura e Aplicada (IMPA), Rio de Janeiro. - Cambridge :Cambridge University Press,2014. - xiv, 202 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;145. - Cambridge studies in advanced mathematics ;145..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9781139976602Subjects--Topical Terms:

928229
Lyapunov exponents.

LC Class. No.: QA372 / .V53 2014

Dewey Class. No.: 515.48

Lectures on Lyapunov exponents
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100 1 $a Viana, Marcelo. $3 897483
245 1 0 $a Lectures on Lyapunov exponents $h [electronic resource] / $c Marcelo Viana, Instituto Nacional de Matematica Pura e Aplicada (IMPA), Rio de Janeiro.
260 $a Cambridge : $b Cambridge University Press, $c 2014.
300 $a xiv, 202 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 145
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 8 $a 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.
520 $a 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.
650 0 $a Lyapunov exponents. $3 928229
830 0 $a Cambridge studies in advanced mathematics ; $v 145. $3 3470537
856 4 0 $u https://doi.org/10.1017/CBO9781139976602