TY  - BOOK
AU  - Liu,Pei-Dong
AU  - Qian,Min
ED  - SpringerLink (Online service)
TI  - Smooth Ergodic Theory of Random Dynamical Systems
T2  - Lecture Notes in Mathematics,
SN  - 9783540492917
AV  - QA613-613.8 
U1  - 514.34 23
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Distribution (Probability theory)
KW  - Cell aggregation
KW  - Statistical physics
KW  - Thermodynamics
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Probability Theory and Stochastic Processes
KW  - Statistical Physics
N1  - Preliminaries -- Entropy and Lyapunov exponents of random diffeomorphisms -- Estimation of entropy from above through Lyapunov exponents -- Stable invariant manifolds of random diffeomorphisms -- Estimation of entropy from below through Lyapunov exponents -- Stochastic flows of diffeomorphisms -- Characterization of measures satisfying entropy formula -- Random perturbations of hyperbolic attractors
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0094308
ER  -