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

Authors :
Xu, Jie
Gong, Jiayin
Source :
Forum Mathematicum. Nov2022, Vol. 34 Issue 6, p1411-1432. 22p.
Publication Year :
2022

Abstract

In this paper, we are concerned with the limit theory of stochastic McKean–Vlasov equations. First, we prove the optimal L p ( p ⩾ 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09337741
Volume :
34
Issue :
6
Database :
Academic Search Index
Journal :
Forum Mathematicum
Publication Type :
Academic Journal
Accession number :
160026982
Full Text :
https://doi.org/10.1515/forum-2021-0111