Wednesday, December 18, 2019 - 16:15 in V3-201
Dimensional reduction for elliptic SPDE's: integrable structures and large deviations
A talk in the AG Zufallsmatrizen series by
Oleg Zaboronski from University of Warwick
| Abstract: |
I will review the phenomenon of dimensional reduction for elliptic stochastic PDE's in two and three dimensions due to hidden supersymmetry discovered by Parisi and Sourlas. I will use dimensional reduction to establish a link between matrix-valued elliptic SPDE's and determinantal point processes. I will show that the large deviations principle can be established for a class of equations without any reference to supersymmetry. The talk is based on joint work with Roger Tribe and David Elworthy.
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