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


教育经历
  • 2011-2016,北京大学,理学博士,导师:任艳霞教授.
  • 2014-2015,华盛顿大学,交流学生,导师:陈振庆教授.
  • 2007-2011,南开大学,理学学士.

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:
  1. Zhang, X., Zhao, G.
    Heat kernel and ergodicity of SDEs with distributional drifts.
  2. Zhang, X., Zhao, G.
    Dirichlet problem for supercritical nonlocal operators.
  3. Zhao, G.
    Stochastic Lagrangian Flows for SDEs with rough coefficients.
  4. Luo, D., Tang, B., Zhao, G.
    An elementary approach to mixing and dissipation enhancement by transport noise.
    Submitted.
  5. Luo, D., Xie, B., Zhao, G.
    Quantitative estimates for SPDEs on the full space with transport noise and $L^p$-initial data.
    Submitted.
  6. Röckner, M., Zhang, D., Zhao, G.
    Stochastic differential equation with endpoint critical Lorentz drift and its applications.
    Ongoing.
接收发表论文:
  1. Röckner, M., Zhao, G.
    SDEs with critical time dependent drifts: strong solutions.
    Submitted to Probability Theory and Related Fields, revised.
  2. Hu, E., Zhao, G.
    Lévy-type operators with low singularity kernels: regularity estimates and martingale problem.
    Mathematische Annalen, to appear.
  3. Chen, Z. Q., Hu, E., Zhao, G.(2025)
    Dirichlet heat kernel estimates for rectilinear stable processes.
    Journal of Functional Analysis, 288 (6).
  4. Zhao, G.(2025)
    Existence and Uniqueness for McKean-Vlasov equations with singular interactions.
    Potential Analysis, 62, 625–653.
  5. Li, Y., Zhao, G.(2024)
    Euler–Maruyama scheme for SDE driven by Lévy process with Hölder drift.
    Statistics & Probability Letters, 215.
  6. Röckner, M., Zhao, G. (2023)
    SDEs with critical time dependent drifts: weak solutions.
    Bernoulli, 29(1), 757-784.
  7. Zhao, G. (2022)
    SDEs with random and irregular coefficients.
    Revista Matemática Iberoamericana, 38(3), 947-980.
  8. Ling, C., Zhao, G. (2022)
    Nonlocal elliptic equation in Holder space and the martingale problem.
    Journal of Differential Equations, 314(25), 653-699.
  9. 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.
  10. Zhao, G. (2021)
    Regularity properties of jump diffusions with irregular coefficients.
    Journal of Mathematical Analysis and Applications 502(1), 125220.
  11. 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.
  12. 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.
  13. Jia, C., Zhao, G. (2020)
    Moderate maximal inequalities for the Ornstein-Uhlenbeck process.
    Proceedings of the American Mathematical Society, 148, 3607-3615.
  14. Zhao, G. (2019)
    Weak uniqueness for SDEs driven by supercritical stable processes with Holder drifts.
    Proceedings of the American Mathematical Society, 147, 849--860.
  15. Zhang, X., Zhao, G. (2018)
    Singular Brownian diffusion processes.
    Communications in Mathematics and Statistics, 6(4), 533-581.
  16. Ren, Y., Yang T., Zhao, G. (2014)
    Conditional limit theorems for critical continuous-state branching processes.
    Science China Mathematics, 57, 2577–2588.

联系方式

地址:北京市海淀区中关村东路55号,邮编100190
电话:86-10-82541214
邮箱:gzhao at amss dot ac dot cn
办公室:思源楼722室


Copyright © 2022, Guohuan Zhao.