Existence of invariant probability measures for functional McKean-Vlasov SDEs
Probability
2021-07-30 v1
Abstract
We show existence of an invariant probability measure for a class of functional McKean-Vlasov SDEs by applying Kakutani's fixed point theorem to a suitable class of probability measures on a space of continuous functions. Unlike some previous works, we do not assume a monotonicity condition to hold. Further, our conditions are even weaker than some results in the literature on invariant probability measures for functional SDEs without dependence on the law of the solution.
Keywords
Cite
@article{arxiv.2107.13881,
title = {Existence of invariant probability measures for functional McKean-Vlasov SDEs},
author = {Jianhai Bao and Michael Scheutzow and Chenggui Yuan},
journal= {arXiv preprint arXiv:2107.13881},
year = {2021}
}
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16 pages