activity
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 2020Show all

5 papers · 1 filter

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.NA2020★ 2 cited

Milstein schemes and antithetic multilevel Monte Carlo sampling for delay McKean-Vlasov equations and interacting particle systems

Jianhai Bao, Christoph Reisinger, Panpan Ren +1

In this paper, we first derive Milstein schemes for an interacting particle system associated with point delay McKean-Vlasov stochastic differential equations (McKean-Vlasov SDEs),…

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…

math.PR2020★ 3 cited

Bismut Formula for Lions Derivative of Distribution-Path Dependent SDEs

Jianhai Bao, Panpan Ren, Feng-Yu Wang

To characterize the regularity of distribution-path dependent SDEs in the initial distribution which varies in the class of probability measures on the path space, we introduce the…

math.PR2020★ 42 cited

First order convergence of Milstein schemes for McKean-Vlasov equations and interacting particle systems

Jianhai Bao, Christoph Reisinger, Panpan Ren +1

In this paper, we derive fully implementable first order time-stepping schemes for McKean--Vlasov stochastic differential equations (McKean--Vlasov SDEs), allowing for a drift term…