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Extrinsic Derivative Formula for Distribution Dependent SDEs

Probability 2024-01-30 v1

Abstract

A Bismut type formula is established for the extrinsic derivative of distribution dependent SDEs. The main result is illustrated by nondegenerate DDSDEs with space time singular drift, as well as degenerate DDSDEs with weakly monotone coefficients.

Keywords

Cite

@article{arxiv.2401.15551,
  title  = {Extrinsic Derivative Formula for Distribution Dependent SDEs},
  author = {Panpan Ren},
  journal= {arXiv preprint arXiv:2401.15551},
  year   = {2024}
}

Comments

16pages

R2 v1 2026-06-28T14:29:13.160Z