More rigorous results on the Kauffman-Levin model of evolution

dc.creatorLimic, Vlada
dc.creatorPemantle, Robin
dc.date2003-08-28
dc.date2005-03-30
dc.date.accessioned2026-07-07T09:46:15Z
dc.date.available2026-07-07T09:46:15Z
dc.descriptionThe purpose of this note is to provide proofs for some facts about the NK model of evolution proposed by Kauffman and Levin. In the case of normally distributed fitness summands, some of these facts have been previously conjectured and heuristics given. In particular, we provide rigorous asymptotic estimates for the number of local fitness maxima in the case when K is unbounded. We also examine the role of the individual fitness distribution and find the model to be quite robust with respect to this.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000081 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0308282
dc.identifierhttp://arxiv.org/abs/math/0308282
dc.identifierAnnals of Probability 2004, Vol. 32, No. 3, 2149-2178
dc.identifierdoi:10.1214/009117904000000081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163466
dc.subjectProbability
dc.subjectPopulations and Evolution
dc.subject92D15, 60G60. (Primary)
dc.titleMore rigorous results on the Kauffman-Levin model of evolution
dc.typetext

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