Add to ORKGBased on the results obtained in [3], we give the construction of a class of super-processes by taking the rescaled limits of some branching particles systems in random environments. The evolution equation characterizing this class of superprocesses is essentially more general than the one we have known before, and is thus helpful in un-derstanding the connection between measure-valued processes and nonlinear equations. 1. A model of branching particles Suppose that E is a topological Lusin space with the Borel σ-algebra denoted by B(E)
[出版社版]In this paper we consider an environment-dependent spatial model. Actually, this random model ...
We consider a particle system in continuous time, a discrete population, with spatial motion, and no...
We rst consider a super Brownian motion X with a general branching mechanism. Using the Brownian sna...
For about half a century, two classes of stochastic processes-Gaussian processes and processes with ...
We construct a class of superprocesses by taking the high density limit of a sequence of interacting...
In this paper, we describe a system of particles that perform independent random motions in space an...
Superprocesses are measure valued diffusions that arise as high density limits of particle systems u...
AbstractWe deal with the probabilistic approach to a nonlinear operator Λ of the form Λu=Δu+∑k=1∞qku...
The focus of this dissertation is a class of random processes known as interacting measure-valued st...
We consider the one-dimensional catalytic branching process introduced by Dawson and Fleischmann, w...
A class of interacting superprocesses arising from branching particle systems with continuous spatia...
AbstractWe construct a class of discontinuous superprocesses with dependent spatial motion and gener...
We construct a catalytic super process X (measure-valued spatial branching process) where the local ...
We consider the one-dimensional catalytic branching process intro duced by Dawson and Fleischmann, w...
A general class of finite variance critical (#xi#, #PHI#, #kappa#)-superprocesses X in a Luzin space...
[出版社版]In this paper we consider an environment-dependent spatial model. Actually, this random model ...
We consider a particle system in continuous time, a discrete population, with spatial motion, and no...
We rst consider a super Brownian motion X with a general branching mechanism. Using the Brownian sna...
For about half a century, two classes of stochastic processes-Gaussian processes and processes with ...
We construct a class of superprocesses by taking the high density limit of a sequence of interacting...
In this paper, we describe a system of particles that perform independent random motions in space an...
Superprocesses are measure valued diffusions that arise as high density limits of particle systems u...
AbstractWe deal with the probabilistic approach to a nonlinear operator Λ of the form Λu=Δu+∑k=1∞qku...
The focus of this dissertation is a class of random processes known as interacting measure-valued st...
We consider the one-dimensional catalytic branching process introduced by Dawson and Fleischmann, w...
A class of interacting superprocesses arising from branching particle systems with continuous spatia...
AbstractWe construct a class of discontinuous superprocesses with dependent spatial motion and gener...
We construct a catalytic super process X (measure-valued spatial branching process) where the local ...
We consider the one-dimensional catalytic branching process intro duced by Dawson and Fleischmann, w...
A general class of finite variance critical (#xi#, #PHI#, #kappa#)-superprocesses X in a Luzin space...
[出版社版]In this paper we consider an environment-dependent spatial model. Actually, this random model ...
We consider a particle system in continuous time, a discrete population, with spatial motion, and no...
We rst consider a super Brownian motion X with a general branching mechanism. Using the Brownian sna...