English

Path Dependent McKean-Vlasov SDEs with H\"{o}lder Continuous Diffusion

Probability 2022-09-20 v2

Abstract

In this paper, the well-posedness for one-dimensional path dependent McKean-Vlasov SDEs with α\alpha(α12\alpha\geq \frac{1}{2})-H\"{o}lder continuous diffusion is investigated. Moreover, the associated quantitative propagation of chaos in the sense of Wasserstein distance, total variation distance as well as relative entropy is studied.

Keywords

Cite

@article{arxiv.2207.04274,
  title  = {Path Dependent McKean-Vlasov SDEs with H\"{o}lder Continuous Diffusion},
  author = {Xing Huang and Xucheng Wang},
  journal= {arXiv preprint arXiv:2207.04274},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-25T00:46:56.737Z