Random models on regularity-integrability structures

I. Bailleul; M. Hoshino

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arXiv · 2310.10202

Random models on regularity-integrability structures

I. Bailleul·M. Hoshino

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Abstract

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.

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I. Bailleul, M. Hoshino. 2023-10-16. Random models on regularity-integrability structures. https://arxiv.org/abs/2310.10202

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