Abstract

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.

Degree

PhD

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2008-07-16

Document Type

Dissertation

Handle

http://hdl.lib.byu.edu/1877/etd2555

Keywords

Lyapunov exponents, multiplicative ergodic theorem, invariant manifold

Included in

Mathematics Commons

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