Cluster formation in a stepping-stone model with continuous, hierarchically structured sites

DOI10.1214/aop/1041903211zbMath0871.60090OpenAlexW2055417877MaRDI QIDQ674508

Klaus Fleischmann, Steven N. Evans

Publication date: 24 September 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1041903211

zbMATH Keywords

Lévy processesstepping-stone modelcluster formationdynamics of cluster formationgenetics models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Functional limit theorems; invariance principles (60F17) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Markov processes (60J99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees ⋮ Measure-valued branching processes associated with random walks on \(p\)-adics. ⋮ Renormalization of the voter model in equilibrium ⋮ On the coming down from infinity of coalescing Brownian motions ⋮ Coalescing systems of non-Brownian particles ⋮ Degrees of transience and recurrence and hierarchical random walks ⋮ The hierarchical Cannings process in random environment ⋮ Spatial populations with seed-bank: well-posedness, duality and equilibrium

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