Noisy traveling waves: effect of selection on genealogies

dc.creatorBrunet, E.
dc.creatorDerrida, B.
dc.creatorMueller, A. H.
dc.creatorMunier, S.
dc.date2006-03-07
dc.date2006-10-04
dc.date.accessioned2026-07-07T07:02:12Z
dc.date.available2026-07-07T07:02:12Z
dc.descriptionFor a family of models of evolving population under selection, which can be described by noisy traveling wave equations, the coalescence times along the genealogical tree scale like $\log^αN$, where $N$ is the size of the population, in contrast with neutral models for which they scale like $N$. An argument relating this time scale to the diffusion constant of the noisy traveling wave leads to a prediction for $α$ which agrees with our simulations. An exactly soluble case gives trees with statistics identical to those predicted for mean-field spin glasses in Parisi's theory.
dc.description4 pages, 2 figures New version includes more numerical simulations and some rewriting of the text presenting our results
dc.identifierhttps://arxiv.org/abs/cond-mat/0603160
dc.identifierhttp://arxiv.org/abs/cond-mat/0603160
dc.identifierEurophys.Lett. 76 (2006) 1-7
dc.identifierdoi:10.1209/epl/i2006-10224-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108517
dc.subjectDisordered Systems and Neural Networks
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNoisy traveling waves: effect of selection on genealogies
dc.typetext

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