English

Deviation estimates for multivalued McKean-Vlasov stochastic differential equations

Probability 2022-08-10 v2

Abstract

The work concerns deviation estimates for multivalued McKean-Vlasov stochastic differential equations. First of all, we prove the large deviation principle for them by the weak convergence approach. Then the central limit theorem for them is shown with the help of a formula for LL-derivatives. Finally, we establish the moderate deviation principle for them.

Keywords

Cite

@article{arxiv.2208.01386,
  title  = {Deviation estimates for multivalued McKean-Vlasov stochastic differential equations},
  author = {Kun Fang and Huijie Qiao},
  journal= {arXiv preprint arXiv:2208.01386},
  year   = {2022}
}

Comments

37 pages

R2 v1 2026-06-25T01:24:37.565Z