Malliavin calculus in regularity structures

08.11.2024, 11:00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

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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