Spin coherent state representation of the Crow-Kimura and Eigen models of quasispecies theory

DOI10.1007/s10955-011-0207-xzbMath1219.82107OpenAlexW2061415901MaRDI QIDQ548142

Jeong-Man Park, Mark Ancliff

Publication date: 28 June 2011

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

Full work available at URL: https://doi.org/10.1007/s10955-011-0207-x

zbMATH Keywords

fitness landscapespin coherent stateCrow-Kimura modelEigen modelescape from adaptive conflictquasispecies theory

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Schwinger boson formulation and solution of the crow-kimura and eigen models of quasispecies theory
• An asymptotic maximum principle for essentially linear evolution models
• A new method for the solution of models of biological evolution: Derivation of exact steady-state distributions
• Mutation-selection balance: ancestry, load, and maximum principle