Browsing by Author "Sumner, Jeremy"
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Lie Markov model
Sumner, Jeremy; Fernández Sánchez, Jesús; Jarvis, Peter (2012)
Article
Open AccessRecent work has discussed the importance of multiplicative closure for the Markov mod- els used in phylogenetics. For continuous-time Markov chains, a sufficient condition for multiplicative closure of a model class is ... -
Lie Markov models
Sumner, Jeremy; Fernández Sánchez, Jesús; Jarvis, Peter (2012-04-07)
Article
Restricted access - publisher's policyRecent work has discussed the importance of multiplicative closure for the Markov models used in phylogenetics. For continuous-time Markov chains, a sufficient condition for multiplicative closure of a model class is ensured ... -
Lie Markov models with purine/pyrimidine symmetry
Fernández Sánchez, Jesús; Sumner, Jeremy; Jarvis, Peter; Woodhams, Michael D. (2015-03-01)
Article
Open AccessContinuous-time Markov chains are a standard tool in phylogenetic inference. If homogeneity is assumed, the chain is formulated by specifying time-independent rates of substitutions between states in the chain. In applications, ... -
Lie Markov models with purine/pyrimidine symmetry
Fernández Sánchez, Jesús; Sumner, Jeremy; Jarvis, Peter; Woodhams, Michael D. (2013-06)
Research report
Open AccessContinuous-time Markov chains are a standard tool in phylogenetic inference. If homogeneity is assumed, the chain is formulated by specifying time-independent rates of substitutions between states in the chain. In applications, ... -
Testing of the three multiplicatively closed (Lie Markov) model heirarchies which respect purine/pyrimidine, Watson-Crick, and amino/keto nucleotide groupings
Woodhams, Michael D.; Fernández Sánchez, Jesús; Sumner, Jeremy (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) ...