Random ultrametric trees and applications
DOI10.1051/proc/201760070zbMath1383.60066arXiv1702.07916OpenAlexW2962767892MaRDI QIDQ4606428
Publication date: 7 March 2018
Published in: ESAIM: Proceedings and Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.07916
population geneticsbranching processpopulation dynamicscoalescentregenerative setphylogeneticsrandom treecoalescent point processallelic partitionreal treecombrandom point measurereduced tree
Problems related to evolution (92D15) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (3)
Cites Work
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- The reconstructed tree in the lineage-based model of protracted speciation
- Birth-death models and coalescent point processes: the shape and probability of reconstructed phylogenies
- Species abundance distributions in neutral models with immigration or mutation and general lifetimes
- Splitting trees with neutral Poissonian mutations. I: Small families
- Limit theorems for sums determined by branching and other exponentially growing processes
- The coalescent
- Mutations on a random binary tree with measured boundary
- Probabilistic models for the (sub)tree(s) of life
- Recovering the Brownian coalescent point process from the Kingman coalescent by conditional sampling
- Totally ordered measured trees and splitting trees with infinite variation
- Asymptotic genealogy of a critical branching process
- \(T\)-theory: An overview
- Splitting trees with neutral Poissonian mutations. II: Largest and oldest families
- The coalescent point process of branching trees
- The contour of splitting trees is a Lévy process
- Probability and real trees. Ecole d'Eté de Probabilités de Saint-Flour XXXV -- 2005. Lecture given at the Saint-Flour probability summer school, July 6--23, 2005.
- Stochastic flows associated to coalescent processes. III: Limit theorems
- The sampling theory of selectively neutral alleles
- The comb representation of compact ultrametric spaces
- Phylogenetic analysis accounting for age-dependent death and sampling with applications to epidemics
- The growth and composition of branching populations
- Probability Models for DNA Sequence Evolution
- Population Dynamics and Random Genealogies
- The allelic partition for coalescent point processes
- The ages of alleles and a coalescent
- On the convergence of supercritical general (C-M-J) branching processes
- Equivalence of boundary measures on covering trees of finite graphs
- A critical branching process model for biodiversity
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