Tuesday, December 17, 2019 - 11:00 in U2-119
BPHZ renormalisation and vanishing subcriticality limit of the fractional $\Phi^3_d$ model
A talk in the Bielefeld Stochastic Afternoon series by
Yvain Bruned from University of Edinburgh
| Abstract: |
In this talk, we consider the fractional $\Phi^3_d$ model which is a stochastic PDEs on the $d$-dimensional torus with fractional Laplacian and quadratic nonlinearity driven by space-time white noise. We obtain precise asymptotics on the renormalisation counterterms as the mollification parameter becomes small and the parameter of the fractional Laplacian approaches its critical value. This is a joint work with Nils Berglund.
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