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Strong law of large numbers for supercritical superprocesses under second moment condition
superprocess scaling limit theorem Hunt process spec- tral gap h-transform martingale measure
2016/1/26
Strong law of large numbers for supercritical superprocesses under second moment condition.
Functional central limit theorems for supercritical superprocesses
Functional central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/26
In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment co...
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...
Central Limit Theorems for Supercritical Superprocesses
Central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/25
In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. This c...
Functional central limit theorems for supercritical superprocesses
Functional central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/20
In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment co...
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...
Central Limit Theorems for Supercritical Superprocesses
Central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/20
In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. This c...
The backbone decomposition for spatially dependent supercritical superprocesses
Superprocesses N-measure backbone decomposition
2016/1/20
Consider any supercritical Galton-Watson process which may become extinct with positive probability. It is a well-understood and intuitively obvious phenomenon that,on the survival set, the process ma...
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...