Introduction to invariant measure and unique ergodicity for SPDEs
Introductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations August 24, 2015 - August 28, 2015
Location: SLMath: Eisenbud Auditorium
Markov transition kernel
basic existence and uniqueness theorems
invariant ergodic measure
Markov process
26A46 - Absolutely continuous real functions in one variable
57R57 - Applications of global analysis to structures on manifolds [See also 57K41, 58-XX]
14340
I will begin by discussing invariant measures for finite dimensional Markov Processes. I will consider some classical conditions for existence and uniqueness in the finite dimensional setting. Then I will show how the situation becomes more complicated in the infinite dimensional setting of and SPDE. I will mainly concentrate on dissipative SDPEs. Time permitting I will discuss Malliavin calculus and some ideas of Hypo-ellipticity in infinite dimensions
Mattingly Notes
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