By John Hales
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1976) Principl es of Random Walks. Springer-Verlag, New York , NY 43. B . (1981) Sp ectral Analysis a nd T ime Seri es. , London , UK 44. D. (1991) Four ier and t aylor series on fitn ess landscapes. Biologica l Cy be rne tic s. 65 , 321-330 45. M. (1998) Neut ra lity in fitn ess landscap es. Technical Report 98-10-089, San t a Fe Institute Submitted to Appl. Math. fj Com put. 46. F . (1999) Sp ectral landscape th eory. : Evolution ar y Dyn amics - Exploring the Interplay of Select ion , Neutrality, Accid ent and Func t ion .
Genetic Algorit hms and Evolution Strategies in Engin eering and Compute r Science. Wiley, Chechester , UK , 105131 55. B . (1990) An In troduction to Mathema tic al Logic and Typ e T heory : To Truth Through Proof. Acad em ic Press, Orl ando, Florida (1986) 56. L. (1982) A comparison of un iversal-logic-module realizations and their a pplica t ion in the synthesis of comb inatorial a nd sequent ial logic networks. IEEE Transact ions on Comput ers. C-31 , 140- 147 44 Vassilev, Fogarty, and Miller 57.
T he walks were performed with respect to the investi gat ed genotype partitions. 24 Vassilev , Fogarty, and Miller The autocorrelation functions of walks on one- point mutation and uniform crossover landscapes are depicted in Figures 7 and 8, respectively. They are obtained by applying the formula from equation 15 to each time series. Additionally, standard deviations are given since the autocorrelations are averaged over 1, 000 random walks per landscape family. The results are depicted with scaled distance, din, as was suggested in .