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Ising quantum chain and sequence evolution

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Publication:1806419
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DOI10.1023/A:1023048711599zbMath0946.92017MaRDI QIDQ1806419

Ellen Baake, Thomas Gerisch, Holger Wagner

Publication date: 25 October 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

selectionmutationIsing quantum chains


Mathematics Subject Classification ID

Problems related to evolution (92D15) Biochemistry, molecular biology (92C40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)


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Studying viral populations with tools from quantum spin chains ⋮ Anderson localization, non-linearity and stable genetic diversity ⋮ CROSSING TIME THROUGH THE FITNESS BARRIER IN AN ASYMMETRIC MULTIPLICATIVE OR ADDITIVE LANDSCAPE IN THE MUTATION-SELECTION MODEL ⋮ Mutation-selection balance: ancestry, load, and maximum principle ⋮ An asymptotic maximum principle for essentially linear evolution models ⋮ A Mutation-Selection Model with Recombination for General Genotypes




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