Determining the number and structure of phylogenetic invariants.

DOI10.1006/aama.1999.0659zbMath1033.92023OpenAlexW2014408828MaRDI QIDQ1585489

Thomas R. Hagedorn

Publication date: 16 November 2000

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1999.0659

zbMATH Keywords

analytic functionsregular functions

Mathematics Subject Classification ID

Problems related to evolution (92D15) Computational aspects in algebraic geometry (14Q99)

Related Items (4)

Local equations for equivariant evolutionary models ⋮ Phylogenetic invariants for the general Markov model of sequence mutation ⋮ Geometry of the Kimura 3-parameter model ⋮ Identifying evolutionary trees and substitution parameters for the general Markov model with invariable sites

Cites Work

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• Algebraic geometry and analytic geometry
• Invariants of phylogenies in a simple case with discrete states
• A remarkable nonlinear invariant for evolution with heterogeneous rates
• Local reality on algebraic varieties
• Invariants of some probability models used in phylogenetic inference
• Variétés analytiques réelles et variétés analytiques complexes
• Le théorème des zéros en géométries algébrique et analytique réelles

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