The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations
From MaRDI portal
Publication:838007
DOI10.1214/08-AOP441zbMath1180.92063arXiv0711.3852MaRDI QIDQ838007
Publication date: 21 August 2009
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.3852
Problems related to evolution (92D15) Applications of branching processes (60J85) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10)
Related Items (16)
Mutations on a random binary tree with measured boundary ⋮ Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure ⋮ Multitype branching processes in random environment ⋮ 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 ⋮ Linearization of the Kingman coalescent ⋮ Approximation of the allelic frequency spectrum in general supercritical branching populations ⋮ A limit theorem for trees of alleles in branching processes with rare neutral mutations ⋮ Coding multitype forests: Application to the law of the total population of branching forests ⋮ Splitting trees with neutral mutations at birth ⋮ On mutations in the branching model for multitype populations ⋮ Rank-dependent Galton‒Watson processes and their pathwise duals ⋮ Williams' decomposition of the Lévy continuum random tree and simultaneous extinction probability for populations with neutral mutations ⋮ Splitting trees with neutral Poissonian mutations. I: Small families ⋮ Counting unique molecular identifiers in sequencing using a multi-type branching process with immigration
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On sampling distributions for coalescent processes with simultaneous multiple collisions
- Asymptotic results on the length of coalescent trees
- Random trees and applications
- Williams' decomposition of the Lévy continuum random tree and simultaneous extinction probability for populations with neutral mutations
- Asymptotics of the allele frequency spectrum associated with the Bolthausen-Sznitman coalescent
- Size-biased sampling of Poisson point processes and excursions
- Tree-valued Markov chains derived from Galton-Watson processes
- The standard additive coalescent
- Renewal theory for embedded regenerative sets
- A fragmentation process connected to Brownian motion
- Applications of the continuous-time ballot theorem to Brownian motion and related processes.
- Probabilistic and fractal aspects of Lévy trees
- Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent
- Poisson snake and fragmentation
- The continuum random tree. III
- Beta-coalescents and continuous stable random trees
- Excheangable partitions derived from Markovian coalescents
- A contact process with mutations on a tree
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- The sampling theory of selectively neutral alleles
- An infinite-alleles version of the simple branching process
- The dispersion of a neutral allele considered as a branching process
- Random Fragmentation and Coagulation Processes
- The total progeny in a branching process and a related random walk
- First Passage and Recurrence Distributions
- Branching processes in biology
- Ordered additive coalescent and fragmentations associated to Lévy processes with no positive jumps
This page was built for publication: The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations
