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Some scaled limit theorems for an immigration super-Brownian motion
Authors:Zhang Mei
Affiliation:(1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Abstract:In this paper,the small time limit behaviors for an immigration super-Brownian motion are studied,where the immigration is determined by Lebesgue measure.We first prove a functional central limit theorem,and then study the large and moderate deviations associated with this central tendency.
Keywords:super-Brownian motion with immigration  functional central limit theorem  large deviation  moderate deviation
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