Marcelo Viana: Lectures on Lyapunov Exponents

Cover: 9781107081734 | Lectures on Lyapunov Exponents | Marcelo Viana | Buch | Gebunden

Rückseite: 9781107081734 | Lectures on Lyapunov Exponents | Marcelo Viana | Buch | Gebunden

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Marcelo Viana is Professor of Mathematics at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2014
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9781107081734
ISBN-10:	1107081734
Sprache:	Englisch
Einband:	Gebunden
Autor:	Viana, Marcelo
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 16 mm
Von/Mit:	Marcelo Viana
Erscheinungsdatum:	24.07.2014
Gewicht:	0,473 kg