Researches
Research Interests
I am interested in probability theory and its applications to physics and biology. My research focuses on stochastic partial differential equations (SPDEs), interacting particle systems, stochastic quantizations and stochastic modeling in biological systems. You can find my research statement here.
You can find a list of my collaborators here.
Preprint(s)
- (Preprint) Two contrasting properties of parabolic SPDEs on metric measure spaces, with Louis Fan and Zhenyao Sun. PDF
Current Projects
Stochastic PDEs
Singular SPDEs on metric measure spaces, with Hongyi Chen.
Extinction probability and universality of stochastic FKPP, with Louis Fan and Adrian Gonzalez Casanova.
Stochastic Modeling
- Spatial stochastic modeling for virus-mutation interactions, with Louis Fan and John Yin.
- Click [Here] to see some interesting figures.
Published papers
(Link) Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions.” Fan, Wai-Tong Louis, Yifan Johnny Yang, and Chaojie Yuan. Mathematical Biosciences and Engineering 20, no. 3 (2023): 4322-4352.
(Link) Patch formation driven by stochastic effects of interaction between viruses and defective interfering particles. Liang, Qiantong, Johnny Yang, Wai-Tong Louis Fan, and Wing-Cheong Lo. PLoS Computational Biology 19, no. 10 (2023): e1011513.