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Limit Theorems for Some Critical Superprocesses
Superprocess critical superprocess non-extinction rate central limit theorem
2016/1/25
In this paper we establish some conditional limit theorems for some critical superprocesses X = {X t ,t ≥ 0}. First we identify the rate of non-extinction. Then we show that, for a large class of func...
Limit Theorems for Some Critical Superprocesses
Superprocess critical superprocess non-extinction rate central limit theorem
2016/1/20
In this paper we establish some conditional limit theorems for some critical superprocesses X = {X t ,t ≥ 0}. First we identify the rate of non-extinction. Then we show that, for a large class of func...
State Classification for a Class of Interacting Superprocesses with Location Dependent Branching
spatial structure interaction superprocess location dependent branching
2009/4/29
The spatial structure of a class of superprocesses which arise as limits in distribution of a class of interacting particle systems with location dependent branching is investigated. The criterion of ...
Long-term behavior for superprocesses over a stochastic flow
Superprocess stochastic flow log-Laplace equation long-term behavior
2009/4/28
We study the limit of a superprocess controlled by a stochastic flow as $ttoinfty$. It is proved that when $d le 2$, this process suffers long-time local extinction; when $dge 3$, it has a limit which...