A functional CLT for the occupation time of a state-dependent branching random walk
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Publication:2460321
DOI10.1214/009117907000000150zbMath1128.60083arXivmath/0702020OpenAlexW3098295932MaRDI QIDQ2460321
Matthias Birkner, Iljana Zähle
Publication date: 14 November 2007
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702020
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)
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OCCUPATION TIMES OF SUBCRITICAL BRANCHING IMMIGRATION SYSTEMS WITH MARKOV MOTION, CLT AND DEVIATION PRINCIPLES ⋮ Particle picture interpretation of some Gaussian processes related to fractional Brownian motion ⋮ \(U\)-statistics of Ornstein-Uhlenbeck branching particle system ⋮ Self-similar stable processes arising from high-density limits of occupation times of particle systems ⋮ Occupation times of subcritical branching immigration systems with Markov motions ⋮ OCCUPATION TIME FLUCTUATION LIMITS OF INFINITE VARIANCE EQUILIBRIUM BRANCHING SYSTEMS
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