Pathwise convergence of a rescaled super-Brownian catalyst reactant process

DOI10.1007/s10959-006-0025-2zbMath1119.60080OpenAlexW2003538504MaRDI QIDQ867080

Achim Klenke, Jie Xiong, Klaus Fleischmann

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1007/s10959-006-0025-2

zbMATH Keywords

extinctionstochastic equationsuperprocessmartingale problemcatalystcollision local timereactantcritical scalingcollision measureconvergence in path spacedensity field

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

A zero-one law of almost sure local extinction for \((1+\beta)\)-super-Brownian motion ⋮ Space-time regularity of catalytic super-Brownian motion ⋮ An integral test on time-dependent local extinction for super-coalescing Brownian motion with Lebesgue initial measure ⋮ On the differential equation satisfied by the random measure density of a jump-type Fleming–Viot process

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