We simply call a superprocess conditioned on non-extinction a conditioned superprocess. In this study, we investigate some properties of the conditioned superprocesses (subcritical or critical). Firstly, we give an equivalent description of the probability of the event that the total occupation time measure on a compact set is finite and some applications of this equivalent description. Our results are extensions of those of Krone (1995) from particular branching mechanisms to general branching mechanisms. We also prove a claim of Krone for the cases of d = 3, 4. Secondly, we study the local extinction property of the conditioned binary super-Brownian motion {X(t), P(mu)(infinity)}. When d = 1, as t goes to infinity, X(t)/root t converges e...
A new approach is provided to the (critical continuous) super-Brownian motion X in R with a single p...
We consider the one-dimensional catalytic branching process introduced by Dawson and Fleischmann, w...
The global supports of super-Poisson processes and super-random walks with a branching mechanism psi...
Superprocesses are measure valued diffusions that arise as high density limits of particle systems u...
We consider a class of subcritical superprocesses $(X_t)_{t\geq 0}$ with general spatial motions and...
Consider the continuous finite measure-valued super-Brownian motion X on ℝd corresponding to the evo...
AbstractConsider the finite measure-valued continuous super-Brownian motion X on Rd corresponding to...
We establish new fractal properties for superprocess densities. Consider the density of super-Brown...
In this paper we consider a super-Brownian motion X with branching mechanism k(x)z(alpha), where k(x...
Consider a catalytic super-Brownian motion $ X = X^\Gamma $ with finite variance branching. Here "ca...
Measure-valued random processes arise in a variety of situations, both pure and applied. In recent y...
We construct a class of superprocesses by taking the high density limit of a sequence of interacting...
Consider a catalytic super-Brownian motion X=X"#GAMMA# with finite variance branching. Here 'ca...
In this paper, we establish some functional central limit theorems for a large class of general supe...
Fleischmann and Mueller (Probab. Theory Related Fields 107 (1997) 325) constructed a super-Brownian ...
A new approach is provided to the (critical continuous) super-Brownian motion X in R with a single p...
We consider the one-dimensional catalytic branching process introduced by Dawson and Fleischmann, w...
The global supports of super-Poisson processes and super-random walks with a branching mechanism psi...
Superprocesses are measure valued diffusions that arise as high density limits of particle systems u...
We consider a class of subcritical superprocesses $(X_t)_{t\geq 0}$ with general spatial motions and...
Consider the continuous finite measure-valued super-Brownian motion X on ℝd corresponding to the evo...
AbstractConsider the finite measure-valued continuous super-Brownian motion X on Rd corresponding to...
We establish new fractal properties for superprocess densities. Consider the density of super-Brown...
In this paper we consider a super-Brownian motion X with branching mechanism k(x)z(alpha), where k(x...
Consider a catalytic super-Brownian motion $ X = X^\Gamma $ with finite variance branching. Here "ca...
Measure-valued random processes arise in a variety of situations, both pure and applied. In recent y...
We construct a class of superprocesses by taking the high density limit of a sequence of interacting...
Consider a catalytic super-Brownian motion X=X"#GAMMA# with finite variance branching. Here 'ca...
In this paper, we establish some functional central limit theorems for a large class of general supe...
Fleischmann and Mueller (Probab. Theory Related Fields 107 (1997) 325) constructed a super-Brownian ...
A new approach is provided to the (critical continuous) super-Brownian motion X in R with a single p...
We consider the one-dimensional catalytic branching process introduced by Dawson and Fleischmann, w...
The global supports of super-Poisson processes and super-random walks with a branching mechanism psi...