Strong uniqueness for cyclically symbiotic branching diffusions

DOI10.1016/j.spl.2005.03.012zbMath1069.60087OpenAlexW2023280563MaRDI QIDQ2483893

Donald A. Dawson, Klaus Fleischmann, Jie Xiong

Publication date: 1 August 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2005.03.012

zbMATH Keywords

SuperprocessReactantStochastic equationCatalystCyclic reactionCyclically catalytic branchingGrowth of momentsMoment dualMoment equation system

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

On the moments and the interface of the symbiotic branching model ⋮ Pathwise uniqueness of multi-dimensional stochastic differential equations with Hölder diffusion coefficients ⋮ Strong uniqueness for cyclically symbiotic branching diffusions ⋮ Long-term behaviour of a cyclic catalytic branching system ⋮ Infinite rate mutually catalytic branching ⋮ Strong uniqueness for a class of singular SDEs for catalytic branching diffusions

Cites Work

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• Convergence to a diffusion of a multi-allelic model in population genetics