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dc.contributor.authorRoca Lacostena, Jordi
dc.contributor.authorFernández Sánchez, Jesús
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-07-02T15:50:17Z
dc.date.available2020-07-02T15:50:17Z
dc.date.issued2018-05-14
dc.identifier.citationRoca, J.; Fernández-Sánchez, J. Embeddability of Kimura 3ST Markov matrices. "Journal of theoretical biology", 14 Maig 2018, vol. 445, p. 128.
dc.identifier.issn0022-5193
dc.identifier.urihttp://hdl.handle.net/2117/192336
dc.description.abstractIn 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 corresponding mutation rates.
dc.format.extent1 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
dc.subject.lcshMarkov processes
dc.subject.otherMarkov matrix
dc.subject.otherMarkov generator
dc.subject.otherEigenvalues
dc.subject.otherEvolutionary model
dc.subject.otherEmbeddability
dc.titleEmbeddability of Kimura 3ST Markov matrices
dc.typeArticle
dc.subject.lemacMarkov, Processos de
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi10.1016/j.jtbi.2018.02.005
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022519318300572
dc.rights.accessOpen Access
local.identifier.drac22026846
dc.description.versionPreprint
local.citation.authorRoca, J.; Fernández-Sánchez, J.
local.citation.publicationNameJournal of theoretical biology
local.citation.volume445
local.citation.startingPage128
local.citation.endingPage128


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