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20092022
most citedTwo-time-scale stochastic partial differential equations driven by -stable noises: Averaging principles

80 citations · 182 across the 44 of their papers we have counts for

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Showing 2021Show all

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math.PR2021

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…

math.PR2021

Coupling approach for exponential ergodicity of stochastic Hamiltonian systems with Lévy noises

Jianhai Bao, Jian Wang

We establish exponential ergodicity for the stochastic Hamiltonian system on with Lévy noises \begin{align*} \begin{cases} \mathrm{d} X_t=\bi…