The Annals of Probability

More rigorous results on the Kauffman–Levin model of evolution

Vlada Limic and Robin Pemantle

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Abstract

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.

Article information

Source
Ann. Probab., Volume 32, Number 3 (2004), 2149-2178.

Dates
First available in Project Euclid: 14 July 2004

Permanent link to this document
https://projecteuclid.org/euclid.aop/1089808422

Digital Object Identifier
doi:10.1214/009117904000000081

Mathematical Reviews number (MathSciNet)
MR2073188

Zentralblatt MATH identifier
1044.92042

Subjects
Primary: 92D15: Problems related to evolution 60G60: Random fields

Keywords
Fitness local maxima genetics spin-glass

Citation

Limic, Vlada; Pemantle, Robin. More rigorous results on the Kauffman–Levin model of evolution. Ann. Probab. 32 (2004), no. 3, 2149--2178. doi:10.1214/009117904000000081. https://projecteuclid.org/euclid.aop/1089808422


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