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Limit theorems for branching process with immigration in a random environment

Le : 13/05/2013 11h30
Par : Yanqing Wang (Zhongnan University of Economics and Law et Université de Vannes)
Lieu : I 103
Lien web :
Résumé : This talk is about the branching process with immigration in a random environment. We discuss the limit behavior of the nor- malized popular size in the supercritical case. Firstly, we show under some assumptions, the normalized popular size converges to a nite random variable in a.s. sense. Then, we study the L^p convergence and the harmonic moments of the limit variable. Finally, we establish the corresponding central limit theorem, large and moderate deviations. (Joint work with Quansheng Liu, Université de Vannes).