Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices.

Abstract excerpt

The quasispecies model introduced by Eigen in 1971 has close connections with the isometry group of the space of binary sequences relative to the Hamming distance metric. Generalizing this observation we introduce an abstract quasispecies model on a finite metric space X together with a group of isometries [Formula: see text] acting transitively on X. We show that if the domain of the fitness function has a...

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