Extrinsic derivatives for SDEs and SPDEs with distribution dependent noise
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908827622834176 |
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| author | Ma, Xiaochen Ren, Panpan |
| author_facet | Ma, Xiaochen Ren, Panpan |
| contents | The Bismut formula is a crucial tool characterizing regularities of stochastic systems, and has been extensively studied for various models. However it is not yet available for SDEs with distribution dependent noise. In this paper, we first establish a Bismut type formula for the extrinsic derivative of McKean-Vlasov SDEs driven by distribution dependent noise, then make an extension to a class of distribution dependent SPDEs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10672 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extrinsic derivatives for SDEs and SPDEs with distribution dependent noise Ma, Xiaochen Ren, Panpan Probability The Bismut formula is a crucial tool characterizing regularities of stochastic systems, and has been extensively studied for various models. However it is not yet available for SDEs with distribution dependent noise. In this paper, we first establish a Bismut type formula for the extrinsic derivative of McKean-Vlasov SDEs driven by distribution dependent noise, then make an extension to a class of distribution dependent SPDEs. |
| title | Extrinsic derivatives for SDEs and SPDEs with distribution dependent noise |
| topic | Probability |
| url | https://arxiv.org/abs/2602.10672 |