Hadamard phylogenetic methods and the \(n\)-taxon process

DOI10.1007/s11538-008-9364-8zbMath1169.92037arXiv0806.1378OpenAlexW2161566692WikidataQ51867272 ScholiaQ51867272MaRDI QIDQ841803

David Bryant

Publication date: 18 September 2009

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

Full work available at URL: https://arxiv.org/abs/0806.1378

zbMATH Keywords

spectral decompositionstochastic modelsphylogeneticsHadamard conjugation

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of graph theory (05C90) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (4)

The algebra of the general Markov model on phylogenetic trees and networks ⋮ Dimensional reduction for the general Markov model on phylogenetic trees ⋮ A generalization of substitution evolution models of nucleotides to genetic motifs ⋮ Systematics and symmetry in molecular phylogenetic modelling: perspectives from physics

Uses Software

• Spectronet

Cites Work

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• Spectral analysis and a closest tree method for genetic sequences
• Fourier calculus on evolutionary trees
• A Fourier inversion formula for evolutionary trees
• Invariants of some probability models used in phylogenetic inference
• Quantum field theory and phylogenetic branching
• U(1) ×U(1) ×U(1) symmetry of the Kimura 3ST model and phylogenetic branching processes
• Extending Tree Models to Splits Networks
• Toric Ideals of Phylogenetic Invariants

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