Lyapunov exponents
Subtitle: proceedings of a conference held in Oberwolfach, May 28-June 2, 1990
By: L. Arnold, H. Crauel, J.-P. Eckmann, eds.
Contributors: Arnold, L. 1937-; Crauel, H. 1956-; Eckmann, Jean Pierre.
Series: Lecture notes in mathematics ;; 1486; Lecture notes in mathematics (Springer-Verlag) ;; 1486.
Publisher: Springer-Verlag; Springer
Published: 1991
Place of publication: Berlin; New York
Language: eng
Number of pages: 365
Subjects: Stochastic systems -- Congresses.; Lyapunov exponents -- Congresses.; Differentiable dynamical systems -- Congresses.
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.
Notes: Includes bibliographical references.