Xicheng Zhang

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Person:225981

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zbMath Open zhang.xichengWikidataQ60173246 ScholiaQ60173246MaRDI QIDQ225981

List of research outcomes

PublicationDate of PublicationType
Cauchy problem of stochastic kinetic equations2024-04-09Paper
Singular kinetic equations and applications2024-03-11Paper
Weak solutions of McKean-Vlasov SDEs with supercritical drifts2024-02-28Paper
Compound Poisson particle approximation for McKean-Vlasov SDEs2023-06-11Paper
Ergodicity of supercritical SDEs driven by \(\alpha \)-stable processes and heavy-tailed sampling2023-06-02Paper
Heat kernels for time-dependent non-symmetric mixed Lévy-type operators2023-04-27Paper
Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients2023-03-21Paper
Second order fractional mean-field SDEs with singular kernels and measure initial data2023-02-08Paper
Singular HJB equations with applications to KPZ on the real line2022-07-28Paper
Strong convergence of propagation of chaos for McKean-Vlasov SDEs with singular interactions2022-04-17Paper
Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients2022-03-22Paper
Heat kernel of supercritical nonlocal operators with unbounded drifts2022-03-22Paper
Hörmander's hypoelliptic theorem for nonlocal operators2021-11-17Paper
Supercritical SDEs driven by multiplicative stable-like Lévy processes2021-10-21Paper
Second order McKean-Vlasov SDEs and kinetic Fokker-Planck-Kolmogorov equations2021-09-02Paper
Well-posedness of distribution dependent SDEs with singular drifts2021-07-09Paper
https://portal.mardi4nfdi.de/entity/Q49960092021-07-01Paper
Hölder regularity and gradient estimates for SDEs driven by cylindrical \(\alpha \)-stable processes2021-05-04Paper
Stochastic Lagrangian path for Leray's solutions of 3D Navier-Stokes equations2021-02-01Paper
Euler scheme for density dependent stochastic differential equations2020-12-29Paper
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift2020-12-15Paper
Maximum principle for non-uniformly parabolic equations and applications2020-12-09Paper
Superposition principle for non-local Fokker-Planck-Kolmogorov operators2020-11-08Paper
Heat kernels for time-dependent non-symmetric mixed L\'evy-type operators2020-10-07Paper
Schauder estimates for nonlocal kinetic equations and applications2020-07-17Paper
\(L^q(L^p)\)-theory of stochastic differential equations2020-06-09Paper
Ergodicity of stochastic differential equations with jumps and singular coefficients2020-05-12Paper
Existence and uniqueness of degenerate SDEs with Hölder diffusion and measurable drift2020-01-20Paper
Propagation of regularity in \(L^p\)-spaces for Kolmogorov-type hypoelliptic operators2020-01-08Paper
A discretized version of Krylov's estimate and its applications2019-12-12Paper
Optimal gradient estimates of heat kernels of stable-like operators2019-07-17Paper
Strong Stability of Heat Kernels of Non-symmetric Stable-Like Operators2019-03-12Paper
Stochastic flows for Lévy processes with Hölder drifts2019-02-14Paper
Multidimensional singular stochastic differential equations2019-01-22Paper
Heat Kernels for Non-symmetric Non-local Operators2019-01-11Paper
Singular Brownian diffusion processes2019-01-02Paper
Stochastic Hamiltonian flows with singular coefficients2018-10-08Paper
Dirichlet problem for supercritical nonlocal operators2018-09-15Paper
\(L^p\)-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators2018-07-17Paper
Heat kernels for time-dependent non-symmetric stable-like operators2018-05-31Paper
Heat kernel and ergodicity of SDEs with distributional drifts2017-10-28Paper
Heat kernels for non-symmetric diffusion operators with jumps2017-09-18Paper
Heat kernels for time-dependent non-symmetric stable-like operators2017-09-14Paper
Well-posedness of supercritical SDE driven by L\'evy processes with irregular drifts2017-09-14Paper
Stochastic integrals and BDG's inequalities in Orlicz-type spaces2017-09-11Paper
Fundamental solutions of nonlocal Hörmander's operators. II.2017-07-28Paper
Fundamental solutions of nonlocal Hörmander's operators2017-05-23Paper
Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients2017-01-13Paper
Stochastic differential equations with Sobolev diffusion and singular drift and applications2016-12-09Paper
Strong Feller properties for degenerate SDEs with jumps2016-06-27Paper
Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient2016-06-22Paper
Heat kernels and analyticity of non-symmetric jump diffusion semigroups2016-06-10Paper
Uniqueness of stable-like processes2016-04-10Paper
Large deviation principle for stochastic heat equation with memory2016-03-09Paper
Degenerate SDEs in Hilbert spaces with rough drifts2016-03-03Paper
https://portal.mardi4nfdi.de/entity/Q31961472015-10-28Paper
Gradient estimates for SDEs driven by multiplicative Lévy noise2015-09-30Paper
Regularity of density for SDEs driven by degenerate Lévy noises2015-08-07Paper
Harnack inequalities for SDEs driven by cylindrical \(\alpha\)-stable processes2015-05-21Paper
Hölder estimates for nonlocal-diffusion equations with drifts2015-04-22Paper
Heat kernel for fractional diffusion operators with perturbations2015-03-10Paper
Derivative formulae for SDEs driven by multiplicative \(\alpha\)-stable-like processes2015-02-13Paper
Heat kernel estimates for critical fractional diffusion operators2015-01-23Paper
Quasi-sure convergence rate of Euler scheme for stochastic differential equations2014-11-03Paper
Densities for SDEs driven by degenerate \(\alpha\)-stable processes2014-10-31Paper
Probabilistic approach for semi-linear stochastic fractal equations2014-10-06Paper
Lp-Solvability of Nonlocal Parabolic Equations with Spatial Dependent and Non-smooth Kernels2014-09-22Paper
Fundamental Solution of Kinetic Fokker--Planck Operator with Anisotropic Nonlocal Dissipativity2014-09-05Paper
Exponential ergodicity of stochastic Burgers equations driven by \(\alpha\)-stable processes2014-06-20Paper
\(L^p\)-maximal regularity of nonlocal parabolic equations and applications2014-05-14Paper
Stochastic Monge–Kantorovich problem and its duality2014-04-25Paper
Degenerate irregular SDEs with jumps and application to integro-differential equations of Fokker-Planck type2014-01-17Paper
Derivative formula and applications for degenerate diffusion semigroups2013-12-18Paper
Stochastic differential equations with Sobolev drifts and driven by \(\alpha\)-stable processes2013-11-19Paper
Nonlocal Hormander's hypoellipticity theorem2013-06-20Paper
Well-posedness of fully nonlinear and nonlocal critical parabolic equations2013-04-08Paper
Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients2013-03-11Paper
Derivative formulas and gradient estimates for SDEs driven by \(\alpha\)-stable processes2013-03-04Paper
Stochastic functional differential equations driven by Lévy processes and quasi-linear partial integro-differential equations2013-01-25Paper
Stochastic Flows for Nonlinear SPDEs Driven by Linear Multiplicative Space-time White Noises2012-09-07Paper
Invariant measures of stochastic \(2D\) Navier-Stokes equation driven by \(\alpha\)-stable processes2012-06-22Paper
Stochastic Lagrangian particle approach to fractal Navier-Stokes equations2012-04-04Paper
Probabilistic approach for systems of second order quasi-linear parabolic PDEs2012-02-27Paper
Limit Theorems for Stochastic Differential Equations with Discontinuous Coefficients2011-10-11Paper
Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients2011-09-09Paper
Quasi-invariant stochastic flows of SDEs with non-smooth drifts on compact manifolds2011-06-15Paper
Stochastic partial differential equations with unbounded and degenerate coefficients2011-03-03Paper
Smooth solutions of non-linear stochastic partial differential equations driven by multiplicative noises2011-02-25Paper
Large deviations for multivalued stochastic differential equations2011-01-07Paper
Discontinuous Stochastic Differential Equations Driven by L\'evy Processes2010-11-25Paper
A stochastic representation for backward incompressible Navier-Stokes equations2010-09-16Paper
Stochastic flows and Bismut formulas for stochastic Hamiltonian systems2010-09-15Paper
Stochastic flows of SDEs with irregular coefficients and stochastic transport equations2010-06-22Paper
Exponential ergodicity of non-Lipschitz multivalued stochastic differential equations2010-06-22Paper
A variational representation for random functionals on abstract Wiener spaces2010-04-21Paper
Large deviations for stochastic tamed 3D Navier-Stokes equations2010-04-20Paper
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients2010-04-15Paper
Stochastic Volterra equations in Banach spaces and stochastic partial differential equation2010-02-16Paper
ON STOCHASTIC EVOLUTION EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS2010-02-10Paper
TAMED 3D NAVIER–STOKES EQUATION: EXISTENCE, UNIQUENESS AND REGULARITY2010-02-02Paper
Large Deviations for Multi-valued Stochastic Differential Equations2009-12-29Paper
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity2009-09-02Paper
A tamed 3D Navier-Stokes equation in uniform \(C^2\)-domains2009-07-24Paper
Clark-Ocone formula and variational representation for Poisson functionals2009-05-27Paper
Martingale solutions and Markov selections for stochastic partial differential equations2009-05-06Paper
Exponential ergodicity of non-Lipschitz stochastic differential equations2009-02-05Paper
Homeomorphism flows for non-Lipschitz stochastic differential equations with jumps2009-01-16Paper
A regularity criterion for the solutions of 3D Navier-Stokes equations2008-07-21Paper
Freidlin-Wentzell's large deviations for stochastic evolution equations2008-07-11Paper
Euler schemes and large deviations for stochastic Volterra equations with singular kernels2008-05-21Paper
NON-LIPSCHITZ BACKWARD STOCHASTIC VOLTERRA TYPE EQUATIONS WITH JUMPS2008-05-20Paper
One dimensional stochastic differential equations with distributional drifts2008-01-25Paper
Probability Approaches to Spatially Homogeneous Boltzmann Equations2007-12-12Paper
Regularities for semilinear stochastic partial differential equations2007-09-13Paper
Fractional smoothness of some stochastic integrals2007-08-31Paper
Regularity of local times of random fields2007-08-20Paper
Kusuoka-Stroock formula on configuration space and regularities of local times with jumps2007-06-07Paper
Skorohod problem and multivalued stochastic evolution equations in Banach spaces2007-03-15Paper
Homeomorphism of solutions to backward SDEs and applications2007-02-26Paper
NON-LIPSCHITZ STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY MULTI-PARAMETER BROWNIAN MOTIONS2007-02-07Paper
Variational approximation for Fokker-Planck equation on Riemannian manifold2007-01-26Paper
Continuity modulus of stochastic homeomorphism flows for SDEs with non-Lipschitz coefficients2007-01-16Paper
Supports of measure solutions for spatially homogeneous Boltzmann equations2006-12-19Paper
A note on the gradient of heat semigroup2006-12-07Paper
\(L^{p}\)-theory of semi-linear SPDEs on general measure spaces and applications2006-11-15Paper
\(L^p\)-gradient estimates of symmetric Markov semigroups for \(1<p\leq2\)2006-10-24Paper
Bismut type formulae for diffusion semigroups on Riemannian manifolds2006-09-14Paper
Topologies on homeomorphism spaces of certain metric spaces2006-04-28Paper
Relatively compact families of functionals on abstract Wiener space and applications2006-04-28Paper
Euler-Maruyama approximations for SDEs with non-Lipschitz coefficients and applications2006-03-29Paper
Relatively compact criteria for Hilbert valued random fields on abstract Wiener space2006-03-29Paper
Stochastic heat equations with random initial conditions2006-02-22Paper
Deviation inequalities and the law of iterated logarithm on the path space over a loop group2006-01-31Paper
Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients2006-01-10Paper
Relatively compact sets on abstract Wiener space2006-01-09Paper
SUCCESSIVE APPROXIMATIONS OF INFINITE DIMENSIONAL SDES WITH JUMP2005-12-09Paper
Metric entropies of sets in abstract Wiener space2005-11-16Paper
Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients2005-11-16Paper
Freidlin-Wentzell's large deviations for homeomorphism flows of non-Lipschitz SDEs2005-11-14Paper
Homeomorphic flows for multi-dimensional SDEs with non-Lipschitz coefficients2005-08-05Paper
Schilder theorem for the Brownian motion on the diffeomorphism group of the circle2005-06-23Paper
Horizontal lift of Ornstein-Uhlenbeck process over Riemannian path space2005-02-09Paper
Quasi-sure limit theorem of parabolic stochastic partial differential equations2005-01-25Paper
https://portal.mardi4nfdi.de/entity/Q31549692005-01-14Paper
Finite dimensional approximation of Riemannian path space geometry.2004-02-03Paper
Stochastic flows for SDEs with non-Lipschitz coefficient.2003-12-03Paper
https://portal.mardi4nfdi.de/entity/Q44835592003-12-02Paper
Path continuity of fractional Dirichlet functionals2003-09-15Paper
https://portal.mardi4nfdi.de/entity/Q47831842003-04-28Paper
Quasi-sure analysis of two-parameter stochastic differential equations2003-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47831042002-12-02Paper
https://portal.mardi4nfdi.de/entity/Q45440492002-08-11Paper
Regularity of stopping times of diffusion processes in Besov spaces2002-05-26Paper
On the quasi-everywhere regularity of the local time of one-dimensional diffusion process in Besov space2002-04-25Paper
Smoothness of local times of semimartingales2001-03-07Paper
Stratonovich Anticipative Stochastic Differential Equations In The Plane2001-03-07Paper
Smoothness of indicator functions of some sets in Wiener spaces2000-10-29Paper

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