Long-term behaviour of a cyclic catalytic branching system

DOI10.1016/j.spa.2010.10.004zbMath1228.60065OpenAlexW2126718561MaRDI QIDQ550139

Sandra M. Kliem

Publication date: 8 July 2011

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2010.10.004

zbMATH Keywords

diffusionstochastic differential equationmutationcatalytic branching networkdegenerate operator

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• The renormalization transformation for two-type branching models
• Degenerate stochastic differential equations for catalytic branching networks
• Strong uniqueness for a class of singular SDEs for catalytic branching diffusions
• Degenerate stochastic differential equations arising from catalytic branching networks
• A cyclically catalytic super-Brownian motion
• Strong uniqueness for cyclically symbiotic branching diffusions
• On the uniqueness problem for catalytic branching networks and other singular diffusions

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