|Joint IAS-PU Symplectic Geometry Seminar|
|Topic:||Stochastic Twist Maps and Symplectic Diffusions|
|Affiliation:||University of California at Berkeley|
|Date:||Friday, October 28|
|Time/Room:||4:15pm - 5:15pm/S-101|
I discuss two examples of random symplectic maps in this talk. As the first example consider a stochastic twist map that is defined to be a stationary ergodic twist map on a planar strip. As a natural question, I discuss the fixed point of such maps and address a Poincare-Birkhoff type theorem. As the second example I consider stochastic flows associated with diffusions and discuss those diffusions which produce symplectic maps only in average sense. Using stochastic diffusions, it is possible to derive Iyer-Constantin Circulation Theorem for Navier-Stokes Equation.