Mathematical Physics:
I focus on the statistical physics and statistical mechanics.
Some of my interests are: the statistical inference, limit theorem and averaging principle, large deviations principle of the behavior of the motions of a net of particles in environments, which are allowed to be time-state randomly-varying.
Related Publications:
Second-Order Fast-Slow Stochastic Systems (with G. Yin), SIAM Journal on Mathematical Analysis, Vol. 56 (2024), 5175–5208. [Journal] [arXiv]
Large Deviations Principles for Langevin Equations in Random Environment and Applications (with G. Yin), Journal of Mathematical Physics, Vol. 62 (2021), 083301. [Journal] [arXiv]
A Class of Langevin Equations with Markov Switching Involving Strong Damping and Fast Switching (with G. Yin), Journal of Mathematical Physics, Vol. 61 (2020), 063301. [Journal] [pdf]