Xicheng Zhang mainly focuses on Mathematical analysis, Stochastic differential equation, Stochastic partial differential equation, Applied mathematics and Lipschitz continuity. His Mathematical analysis study combines topics in areas such as Navier–Stokes equations and Pure mathematics. As a member of one scientific family, Xicheng Zhang mostly works in the field of Stochastic differential equation, focusing on Homeomorphism and, on occasion, Well posedness, Differential equation and Diffeomorphism.
He conducts interdisciplinary study in the fields of Stochastic partial differential equation and Type through his works. His work on Martingale as part of general Applied mathematics research is frequently linked to Time reversibility, Markov kernel and Markov renewal process, bridging the gap between disciplines. His Lipschitz continuity research includes themes of Volterra integral equation, Volterra equations and Strong solutions.
His primary scientific interests are in Mathematical analysis, Stochastic differential equation, Uniqueness, Stochastic partial differential equation and Pure mathematics. His work in Mathematical analysis is not limited to one particular discipline; it also encompasses Navier–Stokes equations. In his research on the topic of Stochastic differential equation, Hölder condition and Heat kernel is strongly related with Bounded function.
His study in Uniqueness is interdisciplinary in nature, drawing from both Invariant measure, Order and Fokker–Planck equation. In his work, First-order partial differential equation is strongly intertwined with Numerical partial differential equations, which is a subfield of Stochastic partial differential equation. His studies in Pure mathematics integrate themes in fields like Hölder's inequality and Classical Wiener space.
His scientific interests lie mostly in Combinatorics, Bounded function, Stochastic differential equation, Heat kernel and Semigroup. While the research belongs to areas of Combinatorics, he spends his time largely on the problem of Wiener process, intersecting his research to questions surrounding Navier–Stokes equations and Lebesgue integration. His Bounded function course of study focuses on Uniqueness and Invariant.
His Stochastic differential equation study improves the overall literature in Applied mathematics. His Sobolev space research incorporates themes from Stochastic partial differential equation, Multiplicative function and Irreducibility. His multidisciplinary approach integrates Mathematical analysis and Dissipative system in his work.
Xicheng Zhang focuses on Heat kernel, Bounded function, Combinatorics, Stochastic differential equation and Pure mathematics. He studied Heat kernel and Uniqueness that intersect with Martingale, Invariant and Semigroup. His research in Martingale intersects with topics in Wiener process and Mathematical analysis.
His Semigroup research incorporates elements of Stochastic partial differential equation and Sobolev space. His Combinatorics research integrates issues from Well posedness and Lévy process. The Stochastic differential equation study combines topics in areas such as Irreducibility, Multiplicative function, Open problem, Stable process and Singular coefficients.
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Strong solutions of SDES with singular drift and Sobolev diffusion coefficients
Stochastic Processes and their Applications (2005)
Stochastic Homeomorphism Flows of SDEs with Singular Drifts and Sobolev Diffusion Coefficients
Electronic Journal of Probability (2011)
Euler schemes and large deviations for stochastic Volterra equations with singular kernels
Journal of Differential Equations (2008)
Heat kernels and analyticity of non-symmetric jump diffusion semigroups
Zhen-Qing Chen;Xicheng Zhang.
Probability Theory and Related Fields (2016)
Stochastic Volterra equations in Banach spaces and stochastic partial differential equation
Xicheng Zhang;Xicheng Zhang.
Journal of Functional Analysis (2010)
Derivative formulas and gradient estimates for SDEs driven by α-stable processes
Stochastic Processes and their Applications (2013)
Stochastic flows of SDEs with irregular coefficients and stochastic transport equations
Xicheng Zhang;Xicheng Zhang.
Bulletin Des Sciences Mathematiques (2010)
Ergodicity of stochastic differential equations with jumps and singular coefficients
Longjie Xie;Xicheng Zhang.
Annales De L Institut Henri Poincare-probabilites Et Statistiques (2020)
Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations
Michael Röckner;Michael Röckner;Tusheng Zhang;Xicheng Zhang;Xicheng Zhang.
Applied Mathematics and Optimization (2010)
Stochastic tamed 3D Navier–Stokes equations: existence, uniqueness and ergodicity
Michael Röckner;Michael Röckner;Xicheng Zhang;Xicheng Zhang;Xicheng Zhang.
Probability Theory and Related Fields (2009)
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