60 citations · 317 across the 50 of their papers we have counts for
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Expansion and attraction of RDS: long time behavior of the solution to singular SDE
Chengcheng Ling, Michael Scheutzow
We provide a framework for studying the expansion rate of the image of a bounded set under a flow in Euclidean space and apply it to stochastic differential equations (SDEs for sho…
A Wong-Zakai theorem for SDEs with singular drift
Chengcheng Ling, Sebastian Riedel, Michael Scheutzow
We study stochastic differential equations (SDEs) with multiplicative Stratonovich-type noise of the form w…
The perfection of local semi-flows and local random dynamical systems with applications to SDEs
Chengcheng Ling, Michael Scheutzow, Isabell Vorkastner
We provide a rather general perfection result for crude local semi-flows taking values in a Polish space showing that a crude semi-flow has a modification which is a (perfect) loca…
Existence of invariant probability measures for functional McKean-Vlasov SDEs
Jianhai Bao, Michael Scheutzow, Chenggui Yuan
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 mea…
Sharpness of Lenglart's domination inequality and a sharp monotone version
Sarah Geiss, Michael Scheutzow
We prove that the best so far known constant of a domination inequality, which originates to Lenglart, is sharp. In particular, we solve an op…
Couplings, generalized couplings and uniqueness of invariant measures
Michael Scheutzow
We provide sufficient conditions for uniqueness of an invariant probability measure of a Markov kernel in terms of (generalized) couplings. Our main theorem generalizes previous re…