Finite time extinction of superprocesses with catalysts.

DOI10.1214/aop/1019160254zbMath1044.60073arXivmath/9809115OpenAlexW1981065881MaRDI QIDQ1872518

Klaus Fleischmann, Donald A. Dawson, Carl E. Mueller

Publication date: 6 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/9809115

zbMATH Keywords

comparisonrandom mediumbranching rate functionalcatalytic super-Brownian motioncollision local timefinite time extinctionsuper-random walkcritical branchinghistorical superprocessmeasure-valued branchingfinite time survivalgood and bad pathsstopped measuresinteracting Feller's branching diffusionstable catalyststopped historical superprocess

Mathematics Subject Classification ID

Brownian motion (60J65) Sample path properties (60G17) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

Related Items (6)

Strong clumping of super-Brownian motion in a stable catalytic medium ⋮ The biodiversity of catalytic super-Brownian motion. ⋮ Pathwise convergence of a rescaled super-Brownian catalyst reactant process ⋮ Finite time extinction of super-Brownian motions with deterministic catalyst ⋮ An alternative approach to super-Brownian motion with a locally infinite branching mass. ⋮ Support properties of super-Brownian motions with spatially dependent branching rate.

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