Lyapunov Exponents

Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990

• Author(s): Ludwig Arnold, Hans Crauel, Jean-Pierre Eckmann,
• Publisher: Springer
• Pages: 368
• ISBN_10: 354046431X
  ISBN_13: 9783540464310
  
• Language: en
• Categories: Mathematics / Probability & Statistics / General , Mathematics / Mathematical Analysis , Technology & Engineering / Engineering (General) , Science / Physics / Mathematical & Computational , Science / System Theory , Mathematics / Calculus , Mathematics / Probability & Statistics / Stochastic Processes , Mathematics / Applied , Language Arts & Disciplines / Library & Information Science / General , Mathematics / Functional Analysis ,

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.