Super-Brownian motions in higher dimensions with absolutely continuous measure states

DOI10.1007/BF02213461zbMath0820.60032MaRDI QIDQ1345086

Klaus Fleischmann, Donald A. Dawson

Publication date: 26 February 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

additive functionalsuper-Brownian motionsrealization of a stable subordinator

Mathematics Subject Classification ID

Brownian motion (60J65) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Mutually catalytic branching in the plane: Finite measure states ⋮ Absolute continuity of catalytic measure-valued branching processes. ⋮ On states of total weighted occupation times of a class of infinitely divisible superprocesses on a bounded domain ⋮ Interacting diffusions in a random medium: comparison and longtime behavior. ⋮ Absolutely continuous states of exit measures for super-Brownian motions with branching restricted to a hyperplane ⋮ Smooth density field of catalytic super-Brownian motion ⋮ Long-time behavior and coexistence in a mutually catalytic branching model ⋮ On the differential equation satisfied by the random measure density of a jump-type Fleming–Viot process

Cites Work

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• Singularity of super-Brownian local time at a point catalyst
• Diffusion and Reaction Caused by Point Catalysts
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• Measure-Valued Branching Diffusions with Singular Interactions

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