A LARGE DEVIATION FOR OCCUPATION TIME OF SUPER α-STABLE PROCESS

DOI10.1142/S0219025708002975zbMath1146.60022OpenAlexW1981287713MaRDI QIDQ3520351

Qiuyue Li, Yan-Xia Ren

Publication date: 26 August 2008

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/s0219025708002975

zbMATH Keywords

large deviationoccupation timesemi-linear PDEsuper \(\alpha\)-stable process

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Large deviations (60F10) Schrödinger operator, Schrödinger equation (35J10) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Related Items (3)

OCCUPATION TIMES OF SUBCRITICAL BRANCHING IMMIGRATION SYSTEMS WITH MARKOV MOTION, CLT AND DEVIATION PRINCIPLES ⋮ A Fourier approach for nonlinear equations with singular data ⋮ A large deviation for occupation time of critical branching \(\alpha \)-stable process

Cites Work

• Some limit theorems for super-Brownian motion and semilinear differential equations
• A weighted occupation time for a class of measure-valued branching processes
• Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)
• Large deviations for the three-dimensional super-Brownian motion
• Schrödinger semigroups
• Gaugeability and conditional gaugeability
• Large deviations for occupation times of measure-valued branching Brownian motions

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