In this talk,we introduce some recent progresses on random walk with unbounded jumps in random environment.The environment is stationary and ergodic,uniform
This talk focuses on multi-scale stochastic systems with random switching and diffusion.The multi-scale formulation is highlighted by two small parameters
Ordinary fractal dimensions such as Hausdorff dimension and packing dimension are useful for analyzing the(microscopic)geometric structures of various thin
We consider mixed-type jump processes on metric measure spaces and prove the stability of parabolic Harnack inequalities.We establish their stable equivalen
In the talk,I will show Moscos convergence of symmetric jump type Dirichlet forms on L2(Rd)and the limit is the Dirichlet form corresponding to a symmetric
This work focuses on a class of switching jump-diffusion processes.First,compared with the most existing results in the literature,in our model,the discrete
We consider the computational questions which arise when analyzing quasi-birth-death processes with a continuous phase set.We develop a framework based on t
In this talk,we will report some results on the functional limits of occupation time processes of a kind of space-inhomogeneous(d,α,β)-branching particle