142 citations · 358 across the 39 of their papers we have counts for
41 papers
Exponential ergodicity of branching processes with immigration and competition
Pei-Sen Li, Zenghu Li, Jian Wang +1
We study the ergodic property of a continuous-state branching process with immigration and competition. The exponential ergodicity in a weighted total variation distance is proved…
Gaussian fluctuation for spatial average of super-Brownian motion
Zenghu Li, Fei Pu
Let be the density of one-dimensional super-Brownian motion starting from Lebesgue measure. Using the Laplace functional o…
Continuous Time Mixed State Branching Processes and Stochastic Equations
Shukai Chen, Zenghu Li
A continuous time mixed state branching process is constructed as the scaling limits of two-type Galton-Watson processes. The process can also be obtained by the pathwise unique so…
Ergodic and strong Feller properties of affine processes
Shukai Chen, Zenghu Li
For general (1+1)-affine Markov processes, we prove the ergodicity and exponential ergodicity in total variation distances. Our methods follow the arguments of ergodic properties f…
Construction of age-structured branching processes by stochastic equations
Lina Ji, Zenghu Li
We give constructions of age-structured branching processes without or with immigration as pathwise unique solutions to stochastic integral equations. A necessary and sufficient co…
Construction of continuous-state branching processes in varying environments
Rongjuan Fang, Zenghu Li
A continuous-state branching process in varying environments is constructed by the pathwise unique solution to a stochastic integral equation driven by time-space noises. The proce…