Occupation time fluctuations of Poisson and equilibrium finite variance branching systems
Probability
2009-11-04 v3
Abstract
Functional limit theorems are presented for the rescaled occupation time fluctuations process of a critical finite variance branching particle system in with symmetric a-stable motion starting off from either a standard Poisson random field or from the equilibrium distribution for intermediate dimensions a<d<2a. The limit processes are determined sub-fractional and fractional Brownian motion respectively.
Keywords
Cite
@article{arxiv.math/0512414,
title = {Occupation time fluctuations of Poisson and equilibrium finite variance branching systems},
author = {Piotr Milos},
journal= {arXiv preprint arXiv:math/0512414},
year = {2009}
}