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    3. Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model

    Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model

    Posted By: ksveta6
    Date: 14 Dec 2015 20:08:24
    Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model

    Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model (Memoirs of the American Mathematical Society) by Raphael Cerf
    2015 | ISBN: 1470409674 | English | 87 pages | PDF | 1 MB

    The goal of this work is to propose a finite population counterpart to Eigen's model, which incorporates stochastic effects. The author considers a Moran model describing the evolution of a population of size m of chromosomes of length over an alphabet of cardinality ?. The mutation probability per locus is q. He deals only with the sharp peak landscape: the replication rate is s>1 for the master sequence and 1 for the other sequences. He studies the equilibrium distribution of the process in the regime where ? 8,m? 8,q?0, q?a?]0, 8[,m?a?[0, 8].
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