Occupation time fluctuations of an infinite-variance branching system in large dimensions
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Publication:880470
DOI10.3150/07-BEJ5170zbMath1193.60048arXivmath/0511745OpenAlexW2038756538MaRDI QIDQ880470
Anna Talarczyk, Tomasz Bojdecki, Louis G. Gorostiza
Publication date: 15 May 2007
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511745
limit theoremoccupation timestable processbranching particle systemfluctuationcritical and large dimensions
Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)
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OCCUPATION TIMES OF SUBCRITICAL BRANCHING IMMIGRATION SYSTEMS WITH MARKOV MOTION, CLT AND DEVIATION PRINCIPLES ⋮ A long range dependence stable process and an infinite variance branching system ⋮ Occupation time fluctuations of weakly degenerate branching systems ⋮ Fluctuation limits of strongly degenerate branching systems ⋮ Particle picture interpretation of some Gaussian processes related to fractional Brownian motion ⋮ Fluctuation limits of site-dependent branching systems in critical and large dimensions ⋮ A functional ergodic theorem for the occupation time process of a branching system ⋮ A functional CLT for the occupation time of a state-dependent branching random walk ⋮ Occupation time limits of inhomogeneous Poisson systems of independent particles ⋮ Self-similar stable processes arising from high-density limits of occupation times of particle systems ⋮ Limit theorems for integrated trawl processes with symmetric Lévy bases ⋮ Occupation times of subcritical branching immigration systems with Markov motions ⋮ A large deviation for occupation time of critical branching \(\alpha \)-stable process ⋮ OCCUPATION TIME FLUCTUATION LIMITS OF INFINITE VARIANCE EQUILIBRIUM BRANCHING SYSTEMS ⋮ RIEMANN–LIOUVILLE PROCESSES ARISING FROM BRANCHING PARTICLE SYSTEMS ⋮ On the weak convergence of super-Brownian motion with immigration ⋮ A CLASS OF FRACTIONAL BROWNIAN FIELDS FROM BRANCHING SYSTEMS AND THEIR REGULARITY PROPERTIES
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