Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space

We study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. We prove a multiplicative ergodic theorem. Then, we use this theorem...

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Bibliographic Details
Main Authors: Lian, Zeng, Lu, Kening
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2010
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Banach spaces
Ergodic theory
Invariant manifolds
Lyapunov exponents
Random dynamical systems
Multiplicative Ergodic Theorem
invariant manifolds
infinite dimensional random dynamical systems
Lyapunov exponents
ISBN:0821846566, 9780821846568
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary:We study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. We prove a multiplicative ergodic theorem. Then, we use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.
Bibliography:Volume 206, number 967 (first of 4 numbers).
Includes bibliographical references (p. 105-106)
ISBN:0821846566
9780821846568
ISSN:0065-9266
1947-6221
DOI:10.1090/S0065-9266-10-00574-0