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Random models on regularity-integrability structures

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arxiv 2310.10202 v3 pith:2YKZJ7AO submitted 2023-10-16 math.PR math.AP

classification math.PRmath.AP
keywords modelsstructurerandomregularityregularity-integrabilityallowsbphzcalled
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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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Cited by 1 Pith paper

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  1. Renormalised Models for Variable Coefficient Singular SPDEs

    math.AP 2025-07 conditional novelty 7.0 of 10

    The paper proves convergence of renormalised models in regularity structures for variable coefficient singular SPDEs across full subcritical regimes, with renormalisation functions depending only on a finite jet of th...

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