A large deviation for occupation time of critical branching \(\alpha \)-stable process

DOI10.1007/s11425-011-4209-6zbMath1236.60030OpenAlexW2094497741MaRDI QIDQ763638

Qiuyue Li, Yan-Xia Ren

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4209-6

zbMATH Keywords

large deviationoccupation timecritical branching \(\alpha \)-stable process

Mathematics Subject Classification ID

Large deviations (60F10) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Some limit theorems for super-Brownian motion and semilinear differential equations
• Occupation times of subcritical branching immigration systems with Markov motions
• Occupation time fluctuations of an infinite-variance branching system in large dimensions
• A functional ergodic theorem for the occupation time process of a branching system
• Occupation times for critical branching Brownian motions
• Occupation time large deviations for critical branching Brownian motion, super-Brownian motion and related processes
• A long range dependence stable process and an infinite variance branching system
• Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence
• Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions
• Gaugeability and conditional gaugeability
• A LARGE DEVIATION FOR OCCUPATION TIME OF SUPER α-STABLE PROCESS
• Subcriticality and Gaugeability of the Schrodinger Operator
• Large deviations for occupation times of measure-valued branching Brownian motions
• LARGE AND MODERATE DEVIATIONS FOR OCCUPATION TIMES OF IMMIGRATION SUPERPROCESSES

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