
赵国焕,现为中国科学院数学与系统科学研究院副研究员。
研究兴趣:
- 随机分析:奇异系数的随机(偏)微分方程,Fokker-Planck-Kolmogorov方程
- 马氏过程:带跳马氏过程,热核估计以及相关的分析
- 非线性马氏过程:平均场粒子极限,非线性Fokker-Planck方程
我的英文主页 homepage
工作经历
- 2022-至今,中国科学院数学与系统科学研究院,副研究员.
- 2018-2021,比勒菲尔德大学,博士后,合作导师:Moritz Kaßmann教授 和 Michael Röckner教授.
- 2016-2018,中国科学院数学与系统科学研究院,博士后,合作导师:马志明院士.
论文
我的所有工作可见于Google Scholar.
预印本:
- Zhang, X., Zhao, G.
Heat kernel and ergodicity of SDEs with distributional drifts.
- Zhang, X., Zhao, G.
Dirichlet problem for supercritical nonlocal operators.
- Zhao, G.
Stochastic Lagrangian Flows for SDEs with rough coefficients.
- Luo, D., Tang, B., Zhao, G.
An elementary approach to mixing and dissipation enhancement by transport noise.
Submitted.
- Luo, D., Xie, B., Zhao, G.
Quantitative estimates for SPDEs on the full space with transport noise and $L^p$-initial data.
Submitted.
- Röckner, M., Zhang, D., Zhao, G.
Stochastic differential equation with endpoint critical Lorentz drift and its applications.
Ongoing.
接收发表论文:
- Röckner, M., Zhao, G.
SDEs with critical time dependent drifts: strong solutions.
Submitted to Probability Theory and Related Fields, revised.
- Hu, E., Zhao, G.
Lévy-type operators with low singularity kernels: regularity estimates and martingale problem.
Mathematische Annalen, to appear.
- Chen, Z. Q., Hu, E., Zhao, G.(2025)
Dirichlet heat kernel estimates for rectilinear stable processes.
Journal of Functional Analysis, 288 (6).
- Zhao, G.(2025)
Existence and Uniqueness for McKean-Vlasov equations with singular interactions.
Potential Analysis, 62, 625–653.
- Li, Y., Zhao, G.(2024)
Euler–Maruyama scheme for SDE driven by Lévy process with Hölder drift.
Statistics & Probability Letters, 215.
- Röckner, M., Zhao, G. (2023)
SDEs with critical time dependent drifts: weak solutions.
Bernoulli, 29(1), 757-784.
- Zhao, G. (2022)
SDEs with random and irregular coefficients.
Revista Matemática Iberoamericana, 38(3), 947-980.
- Ling, C., Zhao, G. (2022)
Nonlocal elliptic equation in Holder space and the martingale problem.
Journal of Differential Equations, 314(25), 653-699.
- Chen, Z. Q., Zhang, X., Zhao, G. (2021)
Supercritical SDEs driven by multiplicative stable-like Lévy processes.
Transactions of the American Mathematical Society, 374(11), 7621-7655.
- Zhao, G. (2021)
Regularity properties of jump diffusions with irregular coefficients.
Journal of Mathematical Analysis and Applications 502(1), 125220.
- Zhang, X., Zhao, G. (2021)
Stochastic Lagrangian path for Leray solutions of 3D Navier-Stokes equations.
Communications in Mathematical Physics, 381(2), pp. 491-525.
- Xia, P., Xie, L., Zhang, X., Zhao, G. (2020)
Lq (Lp)-theory of stochastic differential equations.
Stochastic Processes and their Applications, 130(8), 5188-5211.
- Jia, C., Zhao, G. (2020)
Moderate maximal inequalities for the Ornstein-Uhlenbeck process.
Proceedings of the American Mathematical Society, 148, 3607-3615.
- Zhao, G. (2019)
Weak uniqueness for SDEs driven by supercritical stable processes with Holder drifts.
Proceedings of the American Mathematical Society, 147, 849--860.
- Zhang, X., Zhao, G. (2018)
Singular Brownian diffusion processes.
Communications in Mathematics and Statistics, 6(4), 533-581.
- Ren, Y., Yang T., Zhao, G. (2014)
Conditional limit theorems for critical continuous-state branching processes.
Science China Mathematics, 57, 2577–2588.
Copyright © 2022, Guohuan Zhao.