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.