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Branching Brownian Motion with spatially-homogeneous and point-catalytic branching
Sergey Bocharov, Li Wang
We consider a model of Branching Brownian Motion in which the usual spatially-homogeneous and catalytic branching at a single point are simultaneously present. We establish the alm…
Central limit theorems for supercritical superprocesses with immigration
Li Wang
In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with immigration with spatially dependent branching mechanisms satisfy…
Strong law of large number for branching Hunt processes
Li Wang
In this paper we prove that, under certain conditions, a strong law of large number holds for a class of branching particle systems corresponding to the parameters , w…
Fluctuation limits of the super-Brownian motion with a single point catalyst
Zenghu Li, Li Wang
We prove a fluctuating limit theorem of a sequence of super-Brownian motions over $\mbb{R}$ with a single point catalyst. The weak convergence of the processes on the space of Schw…
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…