Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progresshas been made in the theory and applications of Lyapunovexponents - one of the key concepts of dynamical systems -and in particular, pronounced shifts towards nonlinear andinfinite-dimensional systems and engineering applicationsare observable. This volume opens with an introductorysurvey article (Arnold/Crauel) followed by 26 original(fully refereed) research papers, some of which have in partsurvey character. From the Contents: L. Arnold, H. Crauel: Random DynamicalSystems.- I. Ya. Goldscheid: Lyapunov exponents andasymptotic behaviour of the product of random matrices.- Y. Peres: Analytic dependence of Lyapunov exponents ontransition probabilities.- O. Knill: The upper Lyapunovexponent of Sl (2, R) cocycles:Discontinuity and theproblem of positivity.- Yu. D. Latushkin, A. M. Stepin: Linearskew-product flows and semigroups of weighted compositionoperators.- P. Baxendale: Invariant measures for nonlinearstochastic differential equations.- Y. Kifer: Largedeviationsfor random expanding maps.- P. Thieullen:Generalisation du theoreme de Pesin pour l' -entropie.-S. T. Ariaratnam, W.-C. Xie: Lyapunov exponents in stochasticstructural mechanics.- F. Colonius, W. Kliemann: Lyapunovexponents of control flows. | Lyapunov Exponents by Ludwig Arnold, Paperback | Indigo Chapters