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Abstract: The purpose of this note is to provide proofs for some facts about the NK model. In the case of normally distributed tness summands, some of these facts have been previously conjectured and heuristics given. In particular, we provide rigorous asymptotic estimates for the number of local tness maxima in the case when K is unbounded. We also examine the role of the individual tness distribution and nd the model to be quite robust with respect to this. (Update)
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BibTeX entry: (Update)
V. Limic and R. Pemantle, "More rigorous results for the NK model," 2003, http://arxiv.org/abs/math/0308282. http://citeseer.ist.psu.edu/limic03more.html More
@misc{ limic03more,
author = "V. Limic and R. Pemantle",
title = "More rigorous results for the NK model",
text = "V. Limic and R. Pemantle, More rigorous results for the NK model, 2003,
http://arxiv.org/abs/math/0308282.",
year = "2003",
url = "citeseer.ist.psu.edu/limic03more.html" }
Citations (may not include all citations):1749 An introduction to probability theory and its applications (context) - Feller - 1971
267 Enumerative Combinatorics (context) - Stanley - 1986
234 Continuous martingales and Brownian motion (context) - Revuz, Yor - 1994
90 and linear algebra (context) - Hirsch, Smale - 1974
39 Theory of ordinary di erential equations (context) - Coddington, Levinson - 1955
16 Towards a general theory of adaptive walks on rugged landsca.. (context) - man, Levin - 1987
14 The origins of order (context) - man - 1993
3 Local properties of Kau man's N-k model: A tunably rugged en.. (context) - Weinberger - 1991
2 Rigorous results for the NK model (context) - Durrett, Limic - 2001
1 and Steinsaltz (context) - Evans
1 Essentials of Brownian motion and di usion (context) - Knight - 1981
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