Researches
Research Interests
I am interested in probability theory and its applications to physics and biology. My research focuses on stochastic PDEs, interacting particle systems, stochastic quantizations, stochastic modeling, Dirichlet forms.
Work in Progress
- Spatial modeling for virus infection with multiple stages, with Louis Fan and John Yin. (In preparation)
- Universality of stochastic FKPP equation, with Louis Fan and Adrián González Casanova. (In preparation)
Publications and Preprints
- Comparison principles for stochastic reaction-diffusion equations on metric measure spaces, with Louis Wai-Tong Fan and Zhenyao Sun. arXiv:2610.07790.
- From Individual-Based Models to General Stochastic Reaction Diffusion Equations, with Adrián González Casanova. arXiv:2610.02669.
- Wick renormalized parabolic stochastic quantization equations on rough metric measure spaces, with Hongyi Chen. arXiv:2605.05442.
- Dormancy stabilizes non-transitive competitive dynamics, with José Chacón, Adrián González-Casanova, Imanol Nuñez, Rafael Peña-Miller, and José Luis Pérez. arXiv:2608.17179.
- Patch formation driven by stochastic effects of interaction between viruses and defective interfering particles, with Qiantong Liang, Wai-Tong Louis Fan, and Wing-Cheong Lo. PLoS Computational Biology 19, no. 10 (2023): e1011513. Article.
- Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions, with Wai-Tong Louis Fan and Chaojie Yuan. Mathematical Biosciences and Engineering 20, no. 3 (2023): 4322–4352. Article.
Interactive simulations
Interactive PAM visualizations on the Sierpiński gasket and carpet — open the simulation overview