Branching Systems with Long-Living Particles at the Critical Dimension

DOI10.1137/S0040585X97979809zbMath1036.60074OpenAlexW2016440067MaRDI QIDQ4442924

Anton Wakolbinger, Klaus Fleischmann, Vladimir A. Vatutin

Publication date: 21 January 2004

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97979809

zbMATH Keywords

persistencelimit theoremsuperprocessrandom densitycritical dimensionabsolute continuitybranching particle systemstable subordinatorlong-living particlesmixed Poissonian particle systemresidual lifetime process

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

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