Branching processes with interaction and a generalized Ray–Knight Theorem
نویسندگان
چکیده
منابع مشابه
Branching processes with competition and generalized Ray Knight Theorem
We consider a discrete model of population with interaction where the birth and death rates are non linear functions of the population size. After proceeding to renormalization of the model parameters, we obtain in the limit of large population that the population size evolves as a diffusion solution of the SDE
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15 صفحه اولCentral Limit Theorem in Multitype Branching Random Walk
A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2015
ISSN: 0246-0203
DOI: 10.1214/14-aihp621