Occupation Time Fluctuations in Branching Systems A.1. Background on 1-and 2-level Branching Systems A.2. the Palm Formula A.3. Tree Representation of the Palm Measures of R A.4. Second and Third Moments of R

@inproceedings{Dawson2000OccupationTF,
  title={Occupation Time Fluctuations in Branching Systems A.1. Background on 1-and 2-level Branching Systems A.2. the Palm Formula A.3. Tree Representation of the Palm Measures of R A.4. Second and Third Moments of R},
  author={Donald A. Dawson and Luis G. Gorostiza and Anton Wakolbinger},
  year={2000}
}
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 fluctuation limits are Gaussian random fields, and partial results for an example of infinite… CONTINUE READING
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