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We study the distribution of the maximum of a set of random fitnesses with fixed number of mutations in a model of biological evolution. The fitness variables are not independent and the correlations can be varied via a parameter ℓ = 1, ..., L. We present analytical calculations for the following three solvable cases: (i) one-step mutants with arbitrary ℓ(More)
Introduction A large body of work has been devoted to identifying communities or modules in social and information networks, which are usually thought of as sets of nodes that are better connected between its members than to the remainder of the network [1]. We characterize as a function of size the statistical and structural properties of such sets of(More)
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