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Historical superprocess limits for population models with past dependence and competition
Historical superprocess interacting particle system limit theorem
2011/9/1
Abstract: We consider a population structured in trait. When a birth occurs, the trait of the parent is hereditarily transmitted to the offspring unless a mutation occurs. We associate with each indiv...
Almost sure finiteness for the total occupation time of an (d,α,β)-superprocess
superprocess occupation time branching particle system almost sure local extinction
2010/2/24
For $0<α≤ 2$ and $0<β≤ 1$ let $X$ be the $(d,α,β)$-superprocess, i.e. the superprocess with $α$-stable spatial movement in $bR^d$ and $(1+β)$-stable branching. Given that the initial measure $X_0$ is ...
Superprocess Approximation For a Spatially Homogeneous Branching Walk
Superprocess Branching Random Walk
2009/5/8
We present an alternative particle picture for super-stable motion. It is based on a non-local branching mechanism in discrete time and only trivial space motion.