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- Chinese Academy of SciencesCN19 papers
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8 papers · 2 filters
An almost sure limit theorem for super-Brownian motion
Li Wang
We establish an almost sure scaling limit theorem for super-Brownian motion on associated with the semi-linear equation , where and a…
Strong uniqueness for a class of singular SDEs for catalytic branching diffusions
Hui He
A new result for the strong uniqueness for catalytic branching diffusions is established, which improves the work of Dawson, D.A.; Fleischmann, K.; Xiong, J.[Strong uniqueness for…
Rescaled Lotka-Volterra Models Converge to Super Stable Processes
Hui He
Recently, it has been shown that stochastic spatial Lotka-Volterra models when suitably rescaled can converge to a super Brownian motion. We show that the limit process could be a…
Discontinuous Superprocesses with Dependent Spatial Motion
Hui He
We construct a class of discontinuous superprocesses with dependent spatial motion and general branching mechanism. The process arises as the weak limit of critical interacting-bra…
Stochastic equations of non-negative processes with jumps
Zongfei Fu, Zenghu Li
We study stochastic equations of non-negative processes with jumps. The existence and uniqueness of strong solutions are established under Lipschitz and non-Lipschitz conditions. T…
Continuous local time of a purely atomic immigration superprocess with dependent spatial motion
Zenghu Li, Jie Xiong
A purely atomic immigration superprocess with dependent spatial motion in the space of tempered measures is constructed as the unique strong solution of a stochastic integral equat…