Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model

DOI10.1007/s00285-015-0951-7zbMath1343.92352arXiv1307.5574OpenAlexW1800712751WikidataQ40218751 ScholiaQ40218751MaRDI QIDQ304035

Peter D. Jarvis, Jeremy G. Sumner

Publication date: 23 August 2016

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

Full work available at URL: https://arxiv.org/abs/1307.5574

zbMATH Keywords

representation theorygroup theoryphylogeneticsMarkov invariants

Mathematics Subject Classification ID

Problems related to evolution (92D15) Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Lie algebras of linear algebraic groups (17B45)

Related Items (5)

Quantum channel simulation of phylogenetic branching models ⋮ Full reconstruction of non-stationary strand-symmetric models on rooted phylogenies ⋮ Lie-Markov models derived from finite semigroups ⋮ Dimensional reduction for the general Markov model on phylogenetic trees ⋮ Systematics and symmetry in molecular phylogenetic modelling: perspectives from physics

Uses Software

• Mathematica
• fastDNAml

Cites Work

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• ADVENTURES IN INVARIANT THEORY
• Algebraic Statistics for Computational Biology

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