I am currently an Associate Professor at the Academy of Mathematics and Systems Science (AMSS) of CAS. Before that, I was a postdoctoral researcher in the Department of Mathematics at Bielefeld University. To learn more about my education and professional experience, please review my cv.


Research Interests:
  • Stochastic analysis.
  • Markov processes.
  • Nonlocal operators.

Publication

My papers on Google Scholar.

Working papers and preprints:
  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. Röckner, M., Zhao, G.
    SDEs with critical time dependent drifts: strong solutions.
    Submitted.
  5. Hu, E., Zhao, G.
    Lévy-type operators with low singularity kernels: regularity estimates and martingale problem.
    Submitted.
  6. Luo, D., Tang, B., Zhao, G.
    An elementary approach to mixing and dissipation enhancement by transport noise.
    Submitted.
Peer-Reviewed Articles:
  1. Chen, Z. Q., Hu, E., Zhao, G.
    Dirichlet heat kernel estimates for cylindrical stable process.
    Jorunal of Functional Analysis, to appear.
  2. Zhao, G.
    Existence and Uniqueness for McKean-Vlasov equations with singular interactions.
    Potential Analysis, to appear.
  3. Röckner, M., Zhao, G. # (2023)
    SDEs with critical time dependent drifts: weak solutions.
    Bernoulli, 29(1), 757-784.
  4. Zhao, G. # (2022)
    SDEs with random and irregular coefficients.
    Revista Matemática Iberoamericana, 38(3), 947-980.
  5. Ling, C., Zhao, G. # (2022)
    Nonlocal elliptic equation in Holder space and the martingale problem.
    Journal of Differential Equations, 314(25), 653-699.
  6. 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.
  7. Zhao, G. # (2021)
    Regularity properties of jump diffusions with irregular coefficients.
    Journal of Mathematical Analysis and Applications 502(1), 125220.
  8. 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.
  9. 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.
  10. Jia, C. # , Zhao, G. (2020)
    Moderate maximal inequalities for the Ornstein-Uhlenbeck process.
    Proceedings of the American Mathematical Society, 148, 3607-3615.
  11. Zhao, G.# (2019)
    Weak uniqueness for SDEs driven by supercritical stable processes with Holder drifts.
    Proceedings of the American Mathematical Society, 147, 849--860.
  12. Zhang, X. # , Zhao, G. (2018)
    Singular Brownian diffusion processes.
    Communications in Mathematics and Statistics, 6(4), 533-581.
  13. Ren, Y., Yang T. # , Zhao, G. (2014)
    Conditional limit theorems for critical continuous-state branching processes.
    Science China Mathematics, 57, 2577–2588.

Teaching

Contact

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

Office: Room 722, Siyuan Building • Tel: 010-82541214

Email: gzhao@amss.ac.cn


Copyright © 2024, Guohuan Zhao.