A super-stable motion with infinite mean branching

DOI10.1016/j.anihpb.2003.09.004zbMath1052.60065OpenAlexW2098974725MaRDI QIDQ1883463

Klaus Fleischmann, Anja Sturm

Publication date: 12 October 2004

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2004__40_5_513_0

zbMATH Keywords

superprocessnon-Lipschitz nonlinearitybranching process with infinite meanimmortal processinstantaneous mass propagationlocally countably infinite biodiversityNeveu's continuous state branching process

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Existence and Uniqueness of Multidimensional BSDEs and of Systems of Degenerate PDEs with Superlinear Growth Generator ⋮ One dimensional BSDEs with logarithmic growth application to PDEs ⋮ Yaglom-type limit theorems for branching Brownian motion with absorption ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ On states of total weighted occupation times of a class of infinitely divisible superprocesses on a bounded domain ⋮ The prolific backbone for supercritical superprocesses ⋮ Large scale localization of a spatial version of Neveu's branching process ⋮ Continuous-state branching processes, extremal processes and super-individuals ⋮ Instantaneous support propagation for \(\Lambda\)-Fleming-Viot processes ⋮ Equivalence of mean-field avalanches and branching diffusions: from the Brownian force model to the super-Brownian motion

This page was built for publication: A super-stable motion with infinite mean branching