Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System

Details Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System

2009-03-10

arxiv.org/abs/0903.1871v1

Mathematics

Probability

18 pages

Scientific paper

The occupation time of an age-dependent branching particle system in $\Rd$ is considered, where the initial population is a Poisson random field and the particles are subject to symmetric $\alpha$-stable migration, critical binary branching and random lifetimes. Two regimes of lifetime distributions are considered: lifetimes with finite mean and lifetimes belonging to the normal domain of attraction of a $\gamma$-stable law, $\gamma\in(0,1)$. It is shown that in dimensions $d>\alpha\gamma$ for the heavy-tailed lifetimes case, and $d>\alpha$ for finite mean lifetimes, the occupation time proccess satisfies a strong law of large numbers.

Affiliated with

Also associated with

No associations

Rating

Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Laws of Large Numbers for the Occupation Time of an Age-Dependent Critical Binary Branching System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123199