Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence

DOI10.1007/s00440-011-0376-1zbMath1266.60160arXiv0901.0623OpenAlexW2147913011MaRDI QIDQ1934359

Achim Klenke, Leonid Mytnik

Publication date: 28 January 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0623

zbMATH Keywords

dualitymartingale problemmutually catalytic branchinginfinite rates

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Stochastic integral equations (60H20)

Related Items (9)

The scaling limit of the interface of the continuous-space symbiotic branching model ⋮ Costly defense traits in structured populations ⋮ Longtime Behavior for Mutually Catalytic Branching with Negative Correlations ⋮ Infinite rate symbiotic branching on the real line: the tired frogs model ⋮ On the moments and the interface of the symbiotic branching model ⋮ Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior ⋮ A Trotter-type approach to infinite rate mutually catalytic branching ⋮ Infinite rate mutually catalytic branching ⋮ A new look at duality for the symbiotic branching model

Cites Work

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