Strong Law of Large Numbers for branching diffusions
نویسندگان
چکیده
منابع مشابه
Strong Law of Large Numbers for Branching Diffusions
Let X be the branching particle diffusion corresponding to the operator Lu + β(u2 − u) on D ⊆ Rd (where β ≥ 0 and β 6≡ 0). Let λc denote the generalized principal eigenvalue for the operator L + β on D and assume that it is finite. When λc > 0 and L+β−λc satisfies certain spectral theoretical conditions, we prove that the random measure exp{−λct}Xt converges almost surely in the vague topology ...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2010
ISSN: 0246-0203
DOI: 10.1214/09-aihp203