Occupation time large deviations for critical branching Brownian motion, super-Brownian motion and related processes

DOI10.1214/AOP/1022855645zbMath0962.60013OpenAlexW1491982597MaRDI QIDQ1307499

Jean-Dominique Deuschel, Jay S. Rosen

Publication date: 1 February 2000

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1022855645

zbMATH Keywords

Legendre transformmoment generating functionbranching particle systemsDynkin's graphical moment formulasymmetric \(\beta\)-stable motion

Mathematics Subject Classification ID

Brownian motion (60J65) Large deviations (60F10) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

Related Items (10)

Asymptotic results for super-Brownian motions and semilinear differential equations ⋮ Occupation time large deviations of two-dimensional symmetric simple exclusion process. ⋮ Large deviations under a viewpoint of metric geometry: measure-valued process cases ⋮ 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 ⋮ Asymptotic results for super-Brownian motions and semilinear differential equations ⋮ An explicit Schilder-type theorem for super-Brownian motions ⋮ A large deviation principle for Brownian immigration particle system ⋮ A large deviation principle for a Brownian immigration particle system ⋮ A large deviation for occupation time of critical branching \(\alpha \)-stable process

Cites Work

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• A weighted occupation time for a class of measure-valued branching processes
• Occupation times for critical branching Brownian motions
• Invariance principle and empirical mean large deviations of the critical Ornstein-Uhlenbeck process
• Renormalization and limit theorems for self-intersections of superprocesses
• Large deviations for the three-dimensional super-Brownian motion
• Superprocesses and their Linear Additive Functionals
• Large deviations for occupation times of measure-valued branching Brownian motions
• Occupation time fluctuations in branching systems

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