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math.PR2010★ 12 cited
CLT for U-statistics of Ornstein-Uhlenbeck branching particle system with small branching rate
Radosław Adamczak, Piotr Miłoś
In this paper we consider a branching particle system consisting of particles moving according to the Ornstein-Uhlenbeck process in R^d and undergoing a binary, supercritical branc…
math.PR2010★ 1 cited
Fluctuations of the occupation times for branching system starting from infinitely divisible point processes
Piotr Milos
In the paper the rescaled occupation time fluctuation process of a certain empirical system is investigated. The system consists of particles evolving independently according to α-…