✦ LIBER ✦

Smooth Ergodic Theory of Random Dynamical Systems

✍ Scribed by Pei-Dong Liu, Min Qian (auth.)

Book ID: 127453447
Publisher: Springer
Year: 1995
Tongue: English
Weight: 1 MB
Edition: 1
Category: Library
City: Berlin; New York
ISBN: 3540492917
DOI: 10.1007/BFb0094308

No coin nor oath required. For personal study only.

✦ Synopsis

This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.

✦ Subjects

Thermodynamics

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