Geometry of the Kimura 3-parameter model

DOI10.1016/j.aam.2007.09.003zbMath1222.14110arXivmath/0702834OpenAlexW2066913767WikidataQ61068404 ScholiaQ61068404MaRDI QIDQ950405

Marta Casanellas, Jesús Fernández-Sánchez

Publication date: 22 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0702834

zbMATH Keywords

algebraic statisticslocal complete intersectionphylogenetic invariantsKimura evolutionary model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Complete intersections (14M10)

Related Items (13)

Local equations for equivariant evolutionary models ⋮ Embeddability of Kimura 3ST Markov matrices ⋮ Gorenstein property for phylogenetic trivalent trees ⋮ H-Representation of the Kimura-3 Polytope for the $m$-Claw Tree ⋮ Phylogenetic complexity of the Kimura 3-parameter model ⋮ Distance to the stochastic part of phylogenetic varieties ⋮ Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry ⋮ Relevant phylogenetic invariants of evolutionary models ⋮ Equations defining probability tree models ⋮ On the ideals of equivariant tree models ⋮ Normality of the Kimura 3-Parameter Model ⋮ Finiteness results for abelian tree models ⋮ Low degree equations for phylogenetic group-based models

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