BPHZ renormalisation and vanishing subcriticality limit of the fractional $\Phi^3_d$ model

Dr Yvain Bruned from the University of Edinburgh will be presenting this seminar.

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.​

If you are interested to join this talk, please contact Dr Miryana Grigorova at m.r.grigorova@leeds.ac.uk for the Zoom details.