Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990
Description
Since the predecessor to this volume (LNM 1186, Eds. L.
Arnold, V. Wihstutz)appeared in 1986, significant progress
has been made in the theory and applications of Lyapunov
exponents - one of the key concepts of dynamical systems -
and in particular, pronounced shifts towards nonlinear and
infinite-dimensional systems and engineering applications
are observable. This volume opens with an introductory
survey article (Arnold/Crauel) followed by 26 original
(fully refereed) research papers, some of which have in part
survey character.
From the Contents: L. Arnold, H. Crauel: Random Dynamical
Systems.- I.Ya. Goldscheid: Lyapunov exponents and
asymptotic behaviour of the product of random matrices.- Y.
Peres: Analytic dependence of Lyapunov exponents on
transition probabilities.- O. Knill: The upper Lyapunov
exponent of Sl (2, R) cocycles:Discontinuity and the
problem of positivity.- Yu.D. Latushkin, A.M. Stepin: Linear
skew-product flows and semigroups of weighted composition
operators.- P. Baxendale: Invariant measures for nonlinear
stochastic differential equations.- Y. Kifer: Large
deviationsfor random expanding maps.- P. Thieullen:
Generalisation du theoreme de Pesin pour l' -entropie.-
S.T. Ariaratnam, W.-C. Xie: Lyapunov exponents in stochastic
structural mechanics.- F. Colonius, W. Kliemann: Lyapunov
exponents of control flows.
