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

DOI10.1214/14-AAP1039zbMath1322.60146arXiv1207.0673OpenAlexW3099854789MaRDI QIDQ2354888

Raphaël Cerf

Publication date: 27 July 2015

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0673

zbMATH Keywords

Markov chainWright-Fisher modelerror thresholdcritical population

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10)

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Cites Work

• Unnamed Item
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• Interacting particle systems. With a new postface.
• Entropy, large deviations, and statistical mechanics.
• FKG inequalities in cellular automata and coupled map lattices
• Polynucleotide evolution and branching processes
• A correlation inequality for Markov processes in partially ordered state spaces
• Large deviation results for a class of Markov chains arising from population genetics
• A stochastic theory of macromolecular evolution
• A stochastic version of the Eigen model
• A discrete-time version of the Wentzell-Freidlin theory
• Percolation
• Critical population and error threshold on the sharp peak landscape for a Moran model