Mutually catalytic super branching random walks: large finite systems and renormalization analysis

DOI10.1090/memo/0809zbMath1063.60143OpenAlexW2005800067MaRDI QIDQ4809792

J. Theodore Cox, Andreas Greven, Donald A. Dawson

Publication date: 31 August 2004

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0809

zbMATH Keywords

continuum limitrenormalizationmutually catalytic branchingcluster formationfinite systemsspatial branching process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57)

Related Items (9)

Longtime Behavior for Mutually Catalytic Branching with Negative Correlations ⋮ Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence ⋮ On the moments and the interface of the symbiotic branching model ⋮ Transience and recurrence of random walks on percolation clusters in an ultrametric space ⋮ Intermittency and ageing for the symbiotic branching model ⋮ Degrees of transience and recurrence and hierarchical random walks ⋮ Infinite rate mutually catalytic branching ⋮ The renormalization transformation for two-type branching models ⋮ A conversation with Don Dawson

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