LARGE AND MODERATE DEVIATIONS FOR OCCUPATION TIMES OF IMMIGRATION SUPERPROCESSES

DOI10.1142/S0219025705002189zbMath1083.60070OpenAlexW2024946200MaRDI QIDQ5714722

Wenming Hong, Zhenghu Li

Publication date: 15 December 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025705002189

zbMATH Keywords

large deviations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

OCCUPATION TIMES OF SUBCRITICAL BRANCHING IMMIGRATION SYSTEMS WITH MARKOV MOTION, CLT AND DEVIATION PRINCIPLES ⋮ Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration ⋮ Branching processes with immigration and related topics ⋮ Occupation times of subcritical branching immigration systems with Markov motions ⋮ A large deviation for occupation time of critical branching \(\alpha \)-stable process

Cites Work

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• Some limit theorems for super-Brownian motion and semilinear differential equations
• Stochastic partial differential equations for some measure-valued diffusions
• Large deviations for the super-Brownian motion with super-Brownian immigration
• Sample path large deviations for super-Brownian motion
• Large deviations for the three-dimensional super-Brownian motion
• Moderate deviations and functional LIL for super-Brownian motion
• Moderate deviation for super-Brownian motion with immigration
• Large deviations for occupation times of measure-valued branching Brownian motions
• Large deviations for super-Brownian motion with immigration

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