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Lectures on Lyapunov Exponents: Cambridge Studies in Advanced Mathematics, cartea 145

Autor Marcelo Viana
en Limba Engleză Hardback – 23 iul 2014
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.
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Specificații

ISBN-13: 9781107081734
ISBN-10: 1107081734
Pagini: 215
Ilustrații: 8 b/w illus. 105 exercises
Dimensiuni: 157 x 236 x 16 mm
Greutate: 0.45 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Studies in Advanced Mathematics

Locul publicării:New York, United States

Cuprins

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.

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Descriere

Covers the fundamental aspects of the classical theory and introduces significant recent developments. Based on the author's graduate course.