Lyapunov Exponents: Proceedings of a Conference Held in Oberwolfach, May 28-June 2, 1990 (Lecture Notes in Mathematics) - Hardcover

9780387546629: Lyapunov Exponents: Proceedings of a Conference Held in Oberwolfach, May 28-June 2, 1990 (Lecture Notes in Mathematics)

Hardcover

ISBN 10: 0387546626 ISBN 13: 9780387546629

Rese�a del editor

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.

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