More rigorous results on the Kauffman-Levin model of evolution

• 成果类型: Article
• 署名作者: Limic, V; Pemantle, R
• 署名单位: University of British Columbia; University of Pennsylvania
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117904000000081
• 发表日期: 2004
• 页码: 2149-2178
• 关键词: landscapes

摘要

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.