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/
BYU ScholarsArchive Citation
Lian, Zeng, "Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space" (2008). Theses and Dissertations. 1517.
https://scholarsarchive.byu.edu/etd/1517
Date Submitted
2008-07-16
Document Type
Dissertation
Handle
http://hdl.lib.byu.edu/1877/etd2555
Keywords
Lyapunov exponents, multiplicative ergodic theorem, invariant manifold
Language
English