Critical population and error threshold on the sharp peak landscape for a Moran model
Author(s)
Bibliographic Information
Critical population and error threshold on the sharp peak landscape for a Moran model
（Memoirs of the American Mathematical Society, no. 1096）
American Mathematical Society, 2015, c2014
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Note
Includes bibliographical references (p. 85-86) and index
Description and Table of Contents
Description
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 ℓ over an alphabet of cardinality κ. The mutation probability per locus is q. He deals only with the sharp peak landscape: the replication rate is σ>1 for the master sequence and 1 for the other sequences. He studies the equilibrium distribution of the process in the regime where
ℓ→ ∞,m→ ∞,q→0,
ℓq→a∈]0, ∞[,mℓ→α∈[0, ∞].
Table of Contents
Introduction
The model
Main results
Coupling
Normalized model
Lumping
Monotonicity
Stochastic bounds
Birth and death processes
The neutral phase
Synthesis
Appendix on Markov chain
Bibliography
Index
by "Nielsen BookData"
