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Lyapunov Exponents (English, French, Paperback, 1991 ed.)
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Lyapunov Exponents (English, French, Paperback, 1991 ed.)
Series: Lecture Notes in Mathematics, Vol 1486
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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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