Coalescent processes obtained from supercritical Galton-Watson processes

By Jason Schweinsberg. 2003

182 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Condensed Matter Physics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7736cf13d285411033cc6e234bb1b1d48ee48ae0

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Citations in the corpus

A coalescent model for the effect of advantageous mutations on the genealogy of a population (2004, background): “For more details, see Sagitov (1999, 2003), Möhle and Sagitov (2001), and Schweinsberg (2003).”
Alpha-Stable Branching and Beta-Coalescents (2005, methodology): “Remark 2.3. We refer to [ 32 ] for another route leading, at least for � 2 (1,2], from �-stable branching to Beta-coalescents, this time via a particle approximation obtained from a Galton-Watson branching process by holding the population size fixed by randomly sampling N offspring in each generati”
Small-time behavior of beta coalescents (2006, unknown): “This is an electronic reprint of the original article published by the Institute of Mathematical Statistics in Annales de l’Institut Henri Poincaré - Probabilités et Statistiques, 2008, Vol. 44, No. 2, 214–238.”
Coalescence times for the branching process (2003, result): “This goal was also that of various other works such as [16], [18], and especially [17].”
BETA-COALESCENTS AND CONTINUOUS STABLE RANDOM TREES (2006, unknown): “ar X iv :m at h/ 06 02 11 3v 3 [ m at h. PR ] 1 7 O ct 2 00 7 The Annals of Probability 2007, Vol. 35, No. 5, 1835–1887 DOI: 10.1214/009117906000001114 c© Institute of Mathematical Statistics, 2007”
Efficient ancestry and mutation simulation with msprime 1.0 (2021, methodology): “1 (Schweinsberg 2003).”
Probability Models for DNA Sequence Evolution (2002, unknown): “Schweinsberg (2003) considered a population model in which the number of offspring of each individual Xi is chosen independently according to some distribution on {0, 1, .”
Combinatorial Stochastic Processes (2006, background): “See [396] for details, and [398, 67, 126] for futher work on how coalescents with multiple and simultaneous multiple collisions arise as limits in various discrete or continuous population models.”
Recent progress in coalescent theory (2009, unknown): “A model with selection and recombination (also known as hitchhiking), studied by Durrett and Schweinsberg [68].”
Genetic Draft, Selective Interference, and Population Genetics of Rapid Adaptation (2013, background): “These coalescent events have approximately the same statistics as neutral coalescent processes with very broad but non-heritable offspring distributions (Der et al., 2011; Eldon and Wakeley, 2006; Schweinsberg, 2003).”
The coalescent structure of continuous-time Galton–Watson trees (2017, background): “In other branching models with constant population size, it has been shown that the genealogical tree emerging in the large population limit is Kingman’s coalescent; see [27].”