Linear Operators on Correlated Landscapes
Peter F. Stadler
In this contribution we consider the effect of a class of ``averaging
operators'' on isotropic fitness landscapes. Explicit expressions for the
correlation function of the averaged landscapes are derived. A new class of
tuneably rugged landscapes, obtained by iterated smoothing of the random
energy model, is established. The correlation structure of certain landscapes,
among them the Sherrington-Kirkpatrick model, remains unchanged under the
action of all averaging operators considered here.
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