Prof. Shiping CAO

Assistant Professor
BSc (Nanjing University)
PhD (Cornell University)

Prof. Shiping CAO
ORCID:
0000-0002-5711-6632
Address:
Room 232A, 2/F, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong
Tel:
3943 7978
Email:
spcao@math.cuhk.edu.hk
Personal Website:
https://sites.google.com/view/shipingcao

Fields of Interest:
Analysis on fractals, Dirichlet forms, Markov processes

Selected Publications:

  1. S. Cao and Z.-Q. Chen, Uniform boundary Harnack principle for non-local operators on metric measure spaces. arXiv:2410.20719.

  2. S. Cao and Z.-Q. Chen, Convergence of resistances on generalized Sierpinski carpets. arXiv:2402.01949.

  3. S. Cao and H. Qiu, Dirichlet forms on unconstrained Sierpinski carpets. Probab. Theory Related Fields 189 (2024), no. 1-2, 613–657.

  4. S. Cao, Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop erasing procedure. Adv. Math. 435 (2023), Paper No. 109382, 38 pp.

  5. S. Cao, Q. Gu and H. Qiu, p-energies on p.c.f. self-similar sets. Adv. Math. 405 (2022), Paper No. 108517, 58 pp.

  6. S. Cao, M. S. Hassler, H. Qiu, E. Sandine and R. S. Strichartz, Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps. Adv. Math. 389 (2021), Paper No. 107922, 41 pp.

Honours and Awards:
  • PIMS-Simons Postdoctoral Fellowship, the Pacific Institute for the Mathematical Sciences