Wong–Zakai approximations and support theorems for stochastic McKean–Vlasov equations

Author:

Xu Jie1,Gong Jiayin1

Affiliation:

1. College of Mathematics and Information Science , Henan Normal University , Xinxiang , Henan 453007 , P. R. China

Abstract

Abstract In this paper, we are concerned with the limit theory of stochastic McKean–Vlasov equations. First, we prove the optimal L p {L^{p}} ( p 2 {p\geqslant 2} ) strong convergence rate of the Wong–Zakai approximation for stochastic McKean–Vlasov equations. Then we show the support theorem for stochastic McKean–Vlasov equations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference26 articles.

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3. J. Bao, C. Reisinger, P. Ren and W. Stockinger, First-order convergence of Milstein schemes for McKean–Vlasov equations and interacting particle systems, Proc. A. 477 (2021), no. 2245, Paper No. 20200258.

4. J. Bao, C. Reisinger, P. Ren and W. Stockinger, Milstein schemes for delay Mckean equations and interacting particle systems, preprint (2020), https://arxiv.org/abs/2005.01165.

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