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