Global divergence of spatial coalescents

DOI10.1007/s00440-010-0332-5zbMath1271.92022arXiv0909.4859OpenAlexW2000382457MaRDI QIDQ2428502

Omer Angel, Vlada Limic, Nathanaël Berestycki

Publication date: 26 April 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4859

zbMATH Keywords

number of particlescome down from infinityancestral lineages mergingspatial lambda-coalescent process

Mathematics Subject Classification ID

Problems related to evolution (92D15) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

On the coming down from infinity of coalescing Brownian motions ⋮ Multitype \(\Lambda\)-coalescents ⋮ The \(\Lambda \)-coalescent speed of coming down from infinity ⋮ Coalescing Brownian flows: a new approach ⋮ The segregated \(\Lambda\)-coalescent ⋮ The spatial lambda-Fleming-Viot process: an event-based construction and a lookdown representation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small-time behavior of beta coalescents
• The spatial \(\Lambda\)-coalescent
• Kinetic limit for a system of coagulating planar Brownian particles
• Diffusive clustering in the two dimensional voter model
• The number of alleles in electrophoretic experiments
• The number of distinguishable alleles according to the Ohta-Kimura model of neutral mutation
• The coalescent
• Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• On Ruelle's probability cascades and an abstract cavity method
• Coalescents with multiple collisions
• Alpha-stable branching and beta-coalescents
• The stepping stone model. II: Genealogies and the infinite sites model
• The stepping stone model: New formulas expose old myths
• Asymptotic density in a coalescing random walk model.
• The \(\Lambda \)-coalescent speed of coming down from infinity
• The kinetic limit of a system of coagulating Brownian particles
• Hitting probability of a distant point for the voter model started with a single 1
• Beta-coalescents and continuous stable random trees
• The Parisi formula
• Stochastic flows associated to coalescent processes. III: Limit theorems
• Coalescent processes obtained from supercritical Galton-Watson processes.
• Asymptotics for interacting particle systems onZ d
• Some problems concerning the structure of random walk paths
• Recent progress in coalescent theory
• Probability Models for DNA Sequence Evolution
• Random Walk: A Modern Introduction
• Random Fragmentation and Coagulation Processes

This page was built for publication: Global divergence of spatial coalescents