A limit theorem for trees of alleles in branching processes with rare neutral mutations
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Publication:972811
DOI10.1016/j.spa.2010.01.017zbMath1193.60099arXiv0904.0581OpenAlexW2078150935MaRDI QIDQ972811
Publication date: 21 May 2010
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.0581
Discrete-time Markov processes on general state spaces (60J05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (9)
Birth and death processes with neutral mutations ⋮ Asymptotic regimes for the partition into colonies of a branching process with emigration ⋮ Two population models with constrained migrations ⋮ The critical catastrophe revisited ⋮ Supercritical percolation on large scale-free random trees ⋮ Percolation on random recursive trees ⋮ Splitting trees with neutral mutations at birth ⋮ A geometric representation of fragmentation processes on stable trees ⋮ Splitting trees with neutral Poissonian mutations. I: Small families
Cites Work
- The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations
- Itô's theory of excursion point processes and its developments
- Itô's excursion theory and random trees
- Sur la propriété de branchement. (On the property of branching)
- The coalescent
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- The sampling theory of selectively neutral alleles
- Diffusion processes and coalescent trees
- Stochastic branching processes with continuous state space
- The total progeny in a branching process and a related random walk
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