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Xicheng Zhang
Researcher at Wuhan University
Publications - 149
Citations - 3610
Xicheng Zhang is an academic researcher from Wuhan University. The author has contributed to research in topics: Stochastic differential equation & Uniqueness. The author has an hindex of 32, co-authored 143 publications receiving 2932 citations. Previous affiliations of Xicheng Zhang include Huazhong University of Science and Technology & University of Lisbon.
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Stochastic Homeomorphism Flows of SDEs with Singular Drifts and Sobolev Diffusion Coefficients
TL;DR: In this article, the stochastic homeomorphism flow property and the strong Feller property for deterministic differential equations with sigular time dependent drifts and Sobolev diffusion coefficients were proved.
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Strong solutions of SDES with singular drift and Sobolev diffusion coefficients
TL;DR: In this article, the existence of a unique strong solution up to the explosion time for an SDE with a uniformly non-degenerate Sobolev diffusion coefficient (non-Lipschtiz) and locally integrable drift coefficient was proved.
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Euler schemes and large deviations for stochastic Volterra equations with singular kernels
TL;DR: In this article, an Euler type approximation is constructed for stochastic Volterra equation with singular kernels, which provides an algorithm for numerical calculation, and the large deviation estimates of small perturbation to equations of this type are obtained.
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Heat kernels and analyticity of non-symmetric jump diffusion semigroups
Zhen-Qing Chen,Xicheng Zhang +1 more
TL;DR: In this paper, a non-local and non-symmetric Levy-type operator for the martingale problem was proposed, and sharp two-sided estimates for the transition density of the solution were derived.
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Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations
TL;DR: In this paper, the authors proved a large deviation principle of Freidlin-Wentzell type for the stochastic tamed 3D Navier-Stokes equations driven by multiplicative noise.