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Article Dans Une Revue The Annals of Applied Probability Année : 2015

Critical population and error threshold on the sharp peak landscape for the Wright–Fisher model

Résumé

We pursue the task of developing a finite population counterpart to Eigen's model. We consider the classical Wright-Fisher model describing the evolution of a population of size m of chromosomes of length over an alphabet of cardinality κ. The mutation probability per locus is q. The replication rate is σ > 1 for the master sequence and 1 for the other sequences. We study the equilibrium distribution of the process in the regime where
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Dates et versions

hal-03835384 , version 1 (31-10-2022)

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Raphaël Cerf. Critical population and error threshold on the sharp peak landscape for the Wright–Fisher model. The Annals of Applied Probability, 2015, 25 (4), ⟨10.1214/14-AAP1039⟩. ⟨hal-03835384⟩
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