Random models on regularity-integrability structures

Fuente: arXiv
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Hauptverfasser: Bailleul, I., Hoshino, M.
Format: Preprint
Veröffentlicht: 2023
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author Bailleul, I.
Hoshino, M.
author_facet Bailleul, I.
Hoshino, M.
contents We prove a convergence result for a large class of random models that encompasses the case of the BPHZ models used in the study of singular stochastic PDEs. We introduce for that purpose a useful variation on the notion of regularity structure called a regularity-integrability structure. It allows to deal in a single elementary setting with models on a usual regularity structure and their first order Malliavin derivative.
format Preprint
id arxiv_https___arxiv_org_abs_2310_10202
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Random models on regularity-integrability structures
Bailleul, I.
Hoshino, M.
Probability
Analysis of PDEs
We prove a convergence result for a large class of random models that encompasses the case of the BPHZ models used in the study of singular stochastic PDEs. We introduce for that purpose a useful variation on the notion of regularity structure called a regularity-integrability structure. It allows to deal in a single elementary setting with models on a usual regularity structure and their first order Malliavin derivative.
title Random models on regularity-integrability structures
topic Probability
Analysis of PDEs
url https://arxiv.org/abs/2310.10202