Topics on phylogenetic algebraic geometry

DOI10.1016/j.exmath.2007.02.001zbMath1121.92049OpenAlexW1974607863MaRDI QIDQ2372154

Cristiano Bocci

Publication date: 25 July 2007

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2007.02.001

zbMATH Keywords

molecular evolutionalgebraic statisticsphylogenetic inference

Mathematics Subject Classification ID

Trees (05C05) 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) Surfaces and higher-dimensional varieties (14J99)

Related Items

Decomposition Algorithms for Tensors and Polynomials ⋮ Ideals of varieties parameterized by certain symmetric tensors ⋮ Phylogenetics of Indo-European language families via an algebro-geometric analysis of their syntactic structures

Cites Work

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• Invariants of phylogenies in a simple case with discrete states
• Recovering a tree from the leaf colourations it generates under a Markov model
• Phylogenetic invariants for the general Markov model of sequence mutation
• On the ideals of secant varieties of Segre varieties
• Ranks of tensors, secant varieties of Segre varieties and fat points
• Invariants of some probability models used in phylogenetic inference
• Algebraic geometry of Bayesian networks
• Phylogenetic invariants for stationary base composition
• Phylogenetic ideals and varieties for the general Markov model
• The Mathematics of Phylogenomics
• The Strand Symmetric Model
• Toric Ideals of Phylogenetic Invariants
• Toric ideals of homogeneous phylogenetic models
• The empirical discovery of phylogenetic invariants
• Algebraic Statistics for Computational Biology