More rigorous results on the Kauffman-Levin model of evolution

Details More rigorous results on the Kauffman-Levin model of evolution More rigorous results on the Kauffman-Levin model of evolution

2003-08-28

arxiv.org/abs/math/0308282v2

Annals of Probability 2004, Vol. 32, No. 3, 2149-2178

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117904000000081 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117904000000081

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.

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