The segregated \(\Lambda\)-coalescent

DOI10.1214/13-AOP857zbMath1334.60178arXiv1109.4363OpenAlexW2103212527MaRDI QIDQ2338907

Nic Freeman

Publication date: 27 March 2015

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

Full work available at URL: https://arxiv.org/abs/1109.4363

zbMATH Keywords

segregation\(\Lambda\)-coalescent

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Multitype \(\Lambda\)-coalescents ⋮ The eternal multiplicative coalescent encoding via excursions of Lévy-type processes ⋮ The segregated \(\Lambda\)-coalescent ⋮ The spatial lambda-Fleming-Viot process: an event-based construction and a lookdown representation

Cites Work

• Some mathematical models from population genetics. École d'Été de Probabilités de Saint-Flour XXXIX-2009
• Representation theorems for interacting Moran models, interacting Fisher-Wright diffusions and applications
• The spatial \(\Lambda\)-coalescent
• A new model for evolution in a spatial continuum
• Statistically self-similar fractals
• The coalescent
• The supercritical Galton-Watson process in varying environments
• Random walks, capacity and percolation on trees
• On Ruelle's probability cascades and an abstract cavity method
• Stochastic flows associated to coalescent processes
• Coalescents with multiple collisions
• Genealogical processes for Fleming-Viot models with selection and recombination
• The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes
• Alpha-stable branching and beta-coalescents
• The segregated \(\Lambda\)-coalescent
• Global divergence of spatial coalescents
• A small-time coupling between \(\Lambda\)-coalescents and branching processes
• Random fractals and tree-indexed Markov chains
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Recent progress in coalescent theory
• Random fractals
• On the extinction times of varying and random environment branching processes
• Extinction of non-homogeneous Galton-Watson processes
• Galton-Watson processes in varying environments
• The general coalescent with asynchronous mergers of ancestral lines
• Renormalisation of hierarchically interacting Cannings processes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The segregated \(\Lambda\)-coalescent