Occupation time fluctuations of Poisson and equilibrium finite variance branching systems

Details Occupation time fluctuations of Poisson and equilibrium finite variance branching systems Occupation time fluctuations of Poisson and equilibrium finite variance branching systems

2005-12-17

arxiv.org/abs/math/0512414v3

Prob. and Math. Stat. Vol. 27, Fasc. 2 (2007) pp. 181-203

Mathematics

Probability

Scientific paper

Functional limit theorems are presented for the rescaled occupation time fluctuations process of a critical finite variance branching particle system in $R^d$ with symmetric a-stable motion starting off from either a standard Poisson random field or from the equilibrium distribution for intermediate dimensions a

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