Lyapunov Exponents

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.