Talk to Stochastic and Non-linear Analysis Seminar
Urbana-Champaign, Illinois, September 19, 2000; 2:00pm
The talk is titled ``Stochastic Dynamics of Infinite-Dimensional
We describe an approach to the dynamics of non-linear stochastic differential
systems with finite memory using multiplicative cocycles in Hilbert space.
We introduce the notion of hyperbolicity for stationary solutions of stochastic
systems with memory. We then establish the existence of smooth stable and
unstable manifolds in a neighborhood of a hyperbolic stationary solution.
The stable and unstable manifolds are stationary and asymptotically invariant
under the stochastic semiflow. The proof uses ideas from infinite-dimensional
multiplicative ergodic theory and interpolation arguments.
To download the lecture, please click on one of the following:
postscript file (uncompressed)
dvi file (217K)
pdf file (465K)
Salah's Home Page
September 13, 2000.