Limit theorems for occupation time fluctuations of branching systems I: Long-range dependence
نویسندگان
چکیده
منابع مشابه
0 Occupation Time Fluctuations in Branching Systems
We consider particle systems in locally compact Abelian groups with particles moving according to a process with symmetric stationary independent increments and undergoing one and two levels of critical branching. We obtain long time fluctuation limits for the occupation time process of the one– and two–level systems. We give complete results for the case of finite variance branching, where the...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2006
ISSN: 0304-4149
DOI: 10.1016/j.spa.2005.07.002