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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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math.PR2022

Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions

Jianhai Bao, Jian Wang

In this paper, we investigate the exponential ergodicity in a Wasserstein-type distance for a damping Hamiltonian dynamics with state-dependent and non-local collisions, which inde…

math.PR2022

Random periodic solutions for stochastic differential equations with non-uniform dissipativity

Jianhai Bao, Yue Wu

This paper is concerned with the existence and uniqueness of random periodic solutions for stochastic differential equations (SDEs), where the drift terms involved need not to be u…

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…

math.PR2020★ 7 cited

Convergence rate of EM algorithm for SDEs under integrability condition

Jianhai Bao, Xing Huang, Shao-Qin Zhang

In this paper, by employing Gaussian type estimate of heat kernel, we establish Krylov's estimate and Khasminskill's estimate for EM algorithm. As applications, by taking Zvonkin's…

math.PR2020★ 1 cited

Coupling methods and exponential ergodicity for two-factor affine processes

Jianhai Bao, Jian Wang

In this paper, by invoking the coupling approach, we establish exponential ergodicity under the -Wasserstein distance for two-factor affine processes. The method employed her…