Lucas Broux (MPIMS, Leipzig) (online)
This talk will be concerned with some aspects of the renormalization of the \( \Phi^4\) stochastic partial differential equation, in the singular but subcritical (also called super-renormalizable) range. I will first try to describe how what in regularity structures is called a "model", here indexed by multi-indices, naturally arises from considering the "geometry" of the solution manifold. The notion of model is central in regularity structures and one of the crucial tasks is to robustly estimate it. I would then like to give some insights into the proof of the estimates, where the use of a spectral gap assumption plays an important role.
(Based on joint work with Felix Otto and Markus Tempelmayr)
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