15 avril 2026
IHP - Bâtiment Borel
Fuseau horaire Europe/Paris

Renormalisation in the flow approach for singular SPDEs

15 avr. 2026, 15:30
30m
Amphithéâtre Gaston Darboux (IHP - Bâtiment Borel)

Amphithéâtre Gaston Darboux

IHP - Bâtiment Borel

Orateur

Aurélien MINGUELLA (Institut Élie Cartan de Lorraine)

Description

We study the renormalisation of singular SPDEs in the flow approach recently
developed by Duch. After giving a smooth introduction to the
method, we will give a general ansatz based on decorated trees for the solution of the
flow equation. The ansatz is renormalised in an inductive way, in the sense of the trees, via local extractions introduced for regularity structures. We derive the renormalised equation from this ansatz and show that the renormalisation scheme is identical to that appearing in the context of regularity structures, thus matching the BPHZ renormalisation. This is based on joint work with Yvain Bruned.

Documents de présentation

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