The algebra of the general Markov model on phylogenetic trees and networks

DOI10.1007/s11538-011-9691-zzbMath1235.92037arXiv1012.5165OpenAlexW3103879169WikidataQ51525410 ScholiaQ51525410MaRDI QIDQ2429434

Barbara R. Holland, Jeremy G. Sumner, Peter D. Jarvis

Publication date: 27 April 2012

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5165

zbMATH Keywords

Markov processmaximum likelihoodsplit systemcluster system

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Applications of graph theory (05C90) Directed graphs (digraphs), tournaments (05C20) Markov processes (60J99) Systems biology, networks (92C42) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (7)

Lie Algebra Solution of Population Models Based on Time-Inhomogeneous Markov Chains ⋮ Quantum channel simulation of phylogenetic branching models ⋮ Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model ⋮ A distance-based model for convergent evolution ⋮ Dimensional reduction for the general Markov model on phylogenetic trees ⋮ Lie Markov models ⋮ Systematics and symmetry in molecular phylogenetic modelling: perspectives from physics

Cites Work

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• On the uniqueness of the selection criterion in neighbor-joining
• Hadamard phylogenetic methods and the \(n\)-taxon process
• Markov invariants, plethysms, and phylogenetics
• Entanglement invariants and phylogenetic branching
• Lie groups. An approach through invariants and representations
• Markov-type Lie groups in GL(n,R)
• Path integral formulation and Feynman rules for phylogenetic branching models
• U(1) ×U(1) ×U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes

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