4 papers · 1 filter
A Pathwise Approach to the Strong Feller Property and Irreducibility of Nonlinear Branching Processes
Pei-Sen Li, Xiangqi Zheng, Xiaowen Zhou
We study the strong Feller property and irreducibility for continuous-state nonlinear branching processes defined as solutions to stochastic differential equations with jumps. Due…
Yaglom limits of continuous-state branching processes in Brownian random environment
Pei-Sen Li, Xiangqi Zheng, Xiaowen Zhou
In this paper, we investigate the asymptotic behavior of continuous-state branching processes in a Brownian random environment (CBBRE) conditioned on non-extinction. For the subcri…
Moment properties for two-type continuous-state branching processes in random environments
Shukai Chen, Xiangqi Zheng
We first derive the recurisions for integer moments of two-type continuous-state branching processes in Lévy random environments. Result shows that the th moment of the process…
Wasserstein-type distances of two-type continuous-state branching processes in Lévy random environments
Shukai Chen, Rongjuan Fang, Xiangqi Zheng
Under natural conditions, we proved the exponential ergodicity in Wasserstein distance of two-type continuous-state branching processes in Lévy random environments with immigration…