Critical population and error threshold on the sharp peak landscape for a Moran model
著者
書誌事項
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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注記
Includes bibliographical references (p. 85-86) and index
内容説明・目次
内容説明
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, ∞].
目次
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
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