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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

August 24, 2015 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Jonathan Mattingly (Duke University)
Location: MSRI: Simons Auditorium



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

24211?type=thumb Mattingly Notes 447 KB application/pdf Download
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