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Bibliographic Details
Main Authors: Ma, Xiaochen, Ren, Panpan
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.10672
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Table of 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.