A long range dependence stable process and an infinite variance branching system
نویسندگان
چکیده
منابع مشابه
A Long Range Dependence Stable Process and an Infinite Variance Branching System
We prove a functional limit theorem for the rescaled occupation time fluctuations of a (d, α, β)branching particle system (particles moving in R according to a symmetric α-stable Lévy process, branching law in the domain of attraction of a (1 + β)-stable law, 0 < β < 1, uniform Poisson initial state) in the case of intermediate dimensions, α/β < d < α(1 + β)/β. The limit is a process of the for...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2007
ISSN: 0091-1798
DOI: 10.1214/009117906000000737