Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space

<p>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.</p>

Name thesis:degree_name

PhD

Grantor dc:publisher

Brigham Young University - Provo

Author dc:creator

• Lian, Zeng

• Lyapunov exponents
• multiplicative ergodic theorem
• invariant manifold
• Mathematics

Language dc:language

English

Repository record dc:identifier

https://scholarsarchive.byu.edu/etd/1517

OAI identifier oai:identifier

oai:scholarsarchive.byu.edu:etd-2516