General

Name: Guohuan Zhao

Add: No. 55, Zhongguancun East Road, Haidian District, Beijing 100190

Office: Room 722, Siyuan Building

Email: gzhao at amss dot ac dot cn

Research Areas

  • Stochastic differential equations, McKean-Vlasov equations
  • Nonlocal operators, Markov Jump processes
  • Fokker-Planck-Kolmogorov equations

Education

2011–2016: Ph.D. in Mathematics, Peking University, Beijing


2007–2011: B.S. in Mathematics, Nankai University, Tianjin


Experience

   
Work Experience

2016-2018: Academy of Mathematics and Systems Science of China Beijing, China

Postdoctoral Research Fellowship


2018-2021: Bielefeld University Bielefeld, Germany

Postdoctoral Research Fellowship


2022-: Academy of Mathematics and Systems Science of China Beijing, China

Associate Professor

Publications

   
Papers

(1) Dirichlet heat kernel estimates for rectilinear stable processes, JOURNAL OF FUNCTIONAL ANALYSIS, 2025

(2) SDEs with critical time dependent drifts: strong solutions, PROBABILITY THEORY AND RELATED FIELDS, 2025

(3) Non-local operators with low singularity kernels: regularity estimates and martingale problem, Mathematische Annalen, 2025

(4) Quantitative estimates for SPDEs on the full space with transport noise and L^p-initial data, SIAM Journal on Mathematical Analysis, 2025

(5) Existence and Uniqueness for McKean-Vlasov equations with singular interactions, Potential Analysis, 2024

(6) Euler-Maruyama scheme for SDE driven by Levy process with Holder drift, STATISTICS & PROBABILITY LETTERS, 2024

(7) SDEs with critical time dependent drifts: Weak solutions, BERNOULLI, 2023

(8) Nonlocal elliptic equation in Hölder space and the martingale problem, Journal of Differential Equations, 2022

(9) SDEs with random and irregular coefficients, REVISTA MATEMATICA IBEROAMERICANA, 2022

(10) SUPERCRITICAL SDES DRIVEN BY MULTIPLICATIVE STABLE-LIKE LEVY PROCESSES, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021

(11) Regularity properties of jump diffusions with irregular coefficients, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021

(12) Stochastic Lagrangian Path for Leray's Solutions of 3D Navier-Stokes Equations, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021

(13) MODERATE MAXIMAL INEQUALITIES FOR THE ORNSTEIN-UHLENBECK PROCESS, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020

(14) L-q (L-p)-theory of stochastic differential equations, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020

(15) WEAK UNIQUENESS FOR SDES DRIVEN BY SUPERCRITICAL STABLE PROCESSES WITH HOLDER DRIFTS, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019

(16) Singular Brownian Diffusion Processes, Singular Brownian Diffusion Processes, COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2018

(17) Conditional limit theorems for critical continuous-state branching processes, SCIENCE CHINA Mathematics, 2014

Students

现指导学生

周语昕  硕士研究生  070103-概率论与数理统计  

冯劲涛  博士研究生  070103-概率论与数理统计