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:
A Class of Systems of Nonlinear Second-Order Stochastic Differential Equations: Averaging and Large Deviations Principles (with G. Yin), submitted. [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]