Excheangable partitions derived from Markovian coalescents

DOI10.1214/105051607000000069zbMath1147.60022arXivmath/0603745OpenAlexW1982458504MaRDI QIDQ2467600

Rui Dong, Jim W. Pitman, Alexander V. Gnedin

Publication date: 28 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0603745

zbMATH Keywords

consistency\(\Lambda\)-coalescentrandom coalescent processes

Mathematics Subject Classification ID

Combinatorial probability (60C05) Exchangeability for stochastic processes (60G09)

Related Items (16)

Gibbs distributions for random partitions generated by a fragmentation process ⋮ A new coalescent for seed-bank models ⋮ Importance sampling for lambda-coalescents in the infinitely many sites model ⋮ The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations ⋮ Importance sampling for Lambda-coalescents in the infinitely many sites model ⋮ The collision spectrum of \(\Lambda\)-coalescents ⋮ Two-parameter family of infinite-dimensional diffusions on the Kingman simplex ⋮ Recursions for the exchangeable partition function of the seedbank coalescent ⋮ Genealogical properties of subsamples in highly fecund populations ⋮ Linearization of the Kingman coalescent ⋮ Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic mod\-els ⋮ Recurrence Equations for the Probability Distribution of Sample Configurations in Exact Population Genetics Models ⋮ The \(\Lambda \)-coalescent speed of coming down from infinity ⋮ Λ-coalescents: a survey ⋮ On Asymptotics of Exchangeable Coalescents with Multiple Collisions ⋮ Convergence time to the Ewens sampling formula in the infinite alleles Moran model

Cites Work

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• Line-of-descent and genealogical processes, and their applications in population genetics models
• Lines of descent and the coalescent
• On sampling distributions for coalescent processes with simultaneous multiple collisions
• Recursive partition structures
• Coagulation-fragmentation duality, Poisson-Dirichlet distributions and random recursive trees
• The coalescent
• Reversibility and the age of an allele. I: Moran's infinitely many neutral alleles model
• On Ruelle's probability cascades and an abstract cavity method
• The representation of composition structures
• Construction of Markovian coalescents
• Coalescents with multiple collisions
• Coalescents with simultaneous multiple collisions
• Regenerative partition structures
• Regenerative composition structures
• A classification of coalescent processes for haploid exchangeable population models
• A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• The sampling theory of selectively neutral alleles
• The Representation of Partition Structures
• Consistent ordered sampling distributions: characterization and convergence
• On a Class of Non-Regenerative Sampling Distributions
• Moments of convex distribution functions and completely alternating sequences
• The ages of alleles and a coalescent
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
• Convergence to the coalescent with simultaneous multiple mergers
• The general coalescent with asynchronous mergers of ancestral lines
• Random Fragmentation and Coagulation Processes

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