Random models on regularity-integrability structures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908402374934528 |
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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 |