The tree length of an evolving coalescent
From MaRDI portal
Publication:662824
DOI10.1007/s00440-010-0307-6zbMath1235.60142arXiv0908.2444OpenAlexW1996516403MaRDI QIDQ662824
Peter Pfaffelhuber, Heinz Weisshaupt, Anton Wakolbinger
Publication date: 13 February 2012
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2444
Gumbel distributionMoran modelKingman's coalescentevolution of tree lengthgenealogical treeslarge population limit
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25)
Related Items
Tree-valued resampling dynamics martingale problems and applications, Recovering the Brownian coalescent point process from the Kingman coalescent by conditional sampling, Exchangeable coalescents, ultrametric spaces, nested interval-partitions: a unifying approach, Computing the joint distribution of the total tree length across loci in populations with variable size, A representation for exchangeable coalescent trees and generalized tree-valued Fleming-Viot processes, Pathwise construction of tree-valued Fleming-Viot processes, The total external length of the evolving Kingman coalescent, Coalescence Times for the Bienaymé-Galton-Watson Process, Λ-coalescents: a survey, Exact simulation of the genealogical tree for a stationary branching population and application to the asymptotics of its total length
Cites Work
- On the two oldest families for the Wright-Fisher process
- Small-time behavior of beta coalescents
- Line-of-descent and genealogical processes, and their applications in population genetics models
- The process of most recent common ancestors in an evolving coalescent
- Asymptotic results on the length of coalescent trees
- An approximate sampling formula under genetic hitchhiking
- The coalescent
- Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
- Recombination as a point process along sequences
- Coalescents with multiple collisions
- Particle representations for measure-valued population models
- Tree-valued resampling dynamics martingale problems and applications
- The \(\Lambda \)-coalescent speed of coming down from infinity
- Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent
- On the length distribution of external branches in coalescence trees: Genetic diversity within species
- A countable representation of the Fleming-Viot measure-valued diffusion
- On the genealogy of nested subsamples from a haploid population
- Recent progress in coalescent theory
- Probability Models for DNA Sequence Evolution
- Mutant substitutions at linked nucleotide sites
- On the number of segregating sites for populations with large family sizes
- Minimal clade size and external branch length under the neutral coalescent
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
