Browsing by Author "Fernández Sánchez, Jesús"
Now showing items 21-26 of 26
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Relevant phylogenetic invariants of evolutionary models
(2010-01)
Research report
Open AccessRecently there have been several attempts to provide a whole set of generators of the ideal of the algebraic variety associated to a phylogenetic tree evolving under an algebraic model. These algebraic varieties have been ... -
SAQ: semi-algebraic quartet reconstruction
(2021-01-01)
Article
Open AccessWe present the phylogenetic quartet reconstruction method SAQ (Semi-Algebraic Quartet reconstruction). SAQ is consistent with the most general Markov model of nucleotide substitution and, in particular, it allows for rate ... -
Testing of the three multiplicatively closed (Lie Markov) model heirarchies which respect purine/pyrimidine, Watson-Crick, and amino/keto nucleotide groupings
(2014-03)
Research report
Restricted access - confidentiality agreementWe present three hierarchies of Lie Markov models of DNA sequence evolution. These models are (locally) “multiplicatively closed,” meaning that the composition of two Markov matrices in the model results, with some (rare) ... -
The embedding problem for Markov matrices
(2023-01-01)
Article
Open AccessCharacterizing whether a Markov process of discrete random variables has a homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding when a given Markov matrix can be written ... -
The inertia of the symmetric approximation for low-rank matrices
(Taylor & Francis, 2017-11-10)
Article
Open Access© 2017 Informa UK Limited, trading as Taylor & Francis Group In many areas of applied linear algebra, it is necessary to work with matrix approximations. A usual situation occurs when a matrix obtained from experimental ... -
The space of phylogenetic mixtures for equivariant models
(2012-11-28)
Article
Open AccessThe selection of the most suitable evolutionary model to analyze the given molecular data is usually left to biologist's choice. In his famous book, J Felsenstein suggested that certain linear equations satisfied by the ...
