More rigorous results on the Kauffman–Levin model of evolution

• Vlada Limic ^[1] ; Robin Pemantle ^[2]
  1. [1] University of British Columbia

     University of British Columbia

     Canadá

     
  2. [2] University of Pennsylvania

     University of Pennsylvania

     City of Philadelphia, Estados Unidos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 3, 1, 2004, págs. 2149-2178
• Idioma: inglés
• DOI: 10.1214/009117904000000081
• Texto completo no disponible (Saber más ...)
• Resumen

  • The 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.