In applications, I am interested in probabilistic models and related statistical methods with applications in biological and physical sciences. In particular, I am interested in models that utilize mathematical and probabilistic formulation to characterize and explain biological mechanisms.
In the theoretical aspect, I have been involved in studying analytic properties of differential equations, in particular those related to uniqueness of solutions and characteristics of harmonic functions which have an important role in probability theory. I am also interested in quantum non-commutative probability and its applications.
Last update: 3/22/16