Infinite rate symbiotic branching on the real line: the tired frogs model

DOI10.1214/19-AIHP986zbMath1465.60085arXiv1707.04317WikidataQ122207057 ScholiaQ122207057MaRDI QIDQ2179614

Achim Klenke, Leonid Mytnik

Publication date: 13 May 2020

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

Full work available at URL: https://arxiv.org/abs/1707.04317

zbMATH Keywords

stochastic partial differential equationsmutually catalytic branchingsymbiotic branchinginfinite rate branching

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Cites Work

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• Mutually Catalytic Branching Processes on the Lattice and Voter Processes with Strength of Opinion
• The critical probability for the frog model is not a monotonic function of the graph

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