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math.PR2022★ 1 cited
Regularities and Exponential Ergodicity in Entropy for SDEs Driven by Distribution Dependent Noise
Xing Huang, Feng-Yu Wang
As two crucial tools characterizing regularity properties of stochastic systems, the log-Harnack inequality and Bismut formula have been intensively studied for distribution depend…
math.PR2022
Harnack Inequality for Distribution Dependent Stochastic Hamiltonian System
Xing Huang, Xiaochen Ma
The dimension free Harnack inequality is established for the distribution dependent stochastic Hamiltonian system, where the drift is Lipschitz continuous in the measure variable u…
math.PR2022
Path Dependent McKean-Vlasov SDEs with Hölder Continuous Diffusion
Xing Huang, Xucheng Wang
In this paper, the well-posedness for one-dimensional path dependent McKean-Vlasov SDEs with ()-Hölder continuous diffusion is investigated. Moreover, the ass…