Renormalization and limit theorems for self-intersections of superprocesses

DOI10.1214/aop/1176989694zbMath0760.60024OpenAlexW2066079499MaRDI QIDQ1201176

Jay S. Rosen

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1214/aop/1176989694

zbMATH Keywords

super-Brownian motionrenormalizationmeasure-valued processself- intersection local times

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Markov processes (60J99) (L^p)-limit theorems (60F25)

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SELF-INTERSECTION LOCAL TIME FOR ${\mathcal S}' ({\mathbb R}^d)$-WIENER PROCESSES AND RELATED ORNSTEIN–UHLENBECK PROCESSES ⋮ Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples ⋮ A representation for functionals of superprocesses via particle picture ⋮ PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF BRANCHING DENSITY PROCESSES IN ${\mathcal S}' ({\mathbb R}^d)$ ⋮ Generalized self-intersection local time for a superprocess over a stochastic flow ⋮ Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\) ⋮ Occupation time large deviations for critical branching Brownian motion, super-Brownian motion and related processes ⋮ Self-collisions of superprocesses: renormalization and limit theorems

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