A representation for exchangeable coalescent trees and generalized tree-valued Fleming-Viot processes

DOI10.1214/18-EJP153zbMath1390.60125arXiv1608.08074MaRDI QIDQ1748951

Stephan Gufler

Publication date: 15 May 2018

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08074

zbMATH Keywords

ultrametricdustmarked metric measure spacetree-valued Fleming-Viot processjointly exchangeable array\(\Xi\)-coalescentlookdown model

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Genetics and epigenetics (92D10) Exchangeability for stochastic processes (60G09)

Related Items (6)

Convergence of genealogies through spinal decomposition with an application to population genetics ⋮ Evolving genealogies for branching populations under selection and competition ⋮ Exchangeable coalescents, ultrametric spaces, nested interval-partitions: a unifying approach ⋮ 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

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