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.
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
Worked examples or Exercises; 5 Halftones, unspecified; 3 Line drawings, unspecified
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-1-107-08173-4 (9781107081734)
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Schweitzer Klassifikation
Marcelo Viana is Professor of Mathematics at the Instituto Nacional de Matematica Pura e Aplicada (IMPA), Rio de Janeiro.
Autor*in
IMPA, Rio de Janeiro
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.
