71 citations · 86 across the 14 of their papers we have counts for
16 papers
Algebrability and Riemann integrability of the composite function
E. D'Aniello, J. Fernández-Sánchez, M. Maiuriello +1
In this note we show that there exist a -generated free algebra of Riemann integrable functions and a free algebra $\mat…
Embeddability and rate identifiability of Kimura 2-parameter matrices
Marta Casanellas, Jesús Fernández-Sánchez, Jordi Roca-Lacostena
Deciding whether a Markov matrix is embeddable (i.e. can be written as the exponential of a rate matrix) is an open problem even for matrices. We study the embedding pr…
Embeddability of Kimura 3ST Markov matrices
Jordi Roca-Lacostena, Jesús Fernández-Sánchez
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 mat…
Complete intersection for equivariant models
M. Casanellas, J. Fernández-Sánchez, M. Michałek
Phylogenetic varieties related to equivariant substitution models have been studied largely in the last years. One of the main objectives has been finding a set of generators of th…
A new hierarchy of phylogenetic models consistent with heterogeneous substitution rates
Michael D. Woodhams, Jesús Fernández-Sánchez, Jeremy G. Sumner
When the process underlying DNA substitutions varies across evolutionary history, the standard Markov models underlying standard phylogenetic methods are mathematically inconsisten…
Invariant versus classical quartet inference when evolution is heterogeneous across sites and lineages
Jesús Fernández-Sánchez, Marta Casanellas
One reason why classical phylogenetic reconstruction methods fail to correctly infer the underlying topology is because they assume oversimplified models. In this paper we propose…