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Embeddability of Kimura 3ST Markov matrices

Autor
Roca, J.; Fernández-Sánchez, J.
Tipus d'activitat
Article en revista
Revista
Journal of theoretical biology
Data de publicació
2018-05-14
Volum
445
Pàgina inicial
128
Pàgina final
128
DOI
https://doi.org/10.1016/j.jtbi.2018.02.005 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/pii/S0022519318300572 Obrir en finestra nova
Resum
In this note, we characterize the embeddability of generic Kimura 3ST Markov matrices in terms of their eigenvalues. As a consequence, we are able to compute the volume of such matrices relative to the volume of all Markov matrices within the model. We also provide examples showing that, in general, mutation rates are not identifiable from substitution probabilities. These examples also illustrate that symmetries between mutation probabilities do not necessarily arise from symmetries between the...
Paraules clau
Eigenvalues, Embeddability, Evolutionary model, Markov generator, Markov matrix
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants