Subexponential ergodicity of regime-switching diffusion processes

In this paper, we study a class of regime-switching diffusion processes in which the continuous part is the 解 of a stochastic differential equation and the discrete part is a pure jump process. Under suitable 条件, the open-set irreducibility and aperiodicity of regime-switching diffusion processes are considered. Then, based on these two properties, we prove that the probability transfer function of regime-switching diffusion processes converges to a unique invariant probability measure at subexponential rates. Finally, the exponential ergodicity of regime-switching diffusion processes is obtained by slightly modifying the 条件 of subexponential ergodicity.