71 citations · 183 across the 34 of their papers we have counts for
39 papers
Evaluation of the relative performance of the subflattenings method for phylogenetic inference
Joshua Stevenson, Barbara Holland, Michael Charleston +1
The algebraic properties of flattenings and subflattenings provide direct methods for identifying edges in the true phylogeny -- and by extension the complete tree -- using pattern…
Rearrangement Events on Circular Genomes
Joshua Stevenson, Venta Terauds, Jeremy Sumner
Early literature on genome rearrangement modelling views the problem of computing evolutionary distances as an inherently combinatorial one. In particular, attention was given to e…
A symmetry-inclusive algebraic approach to genome rearrangement
Venta Terauds, Joshua Stevenson, Jeremy Sumner
Of the many modern approaches to calculating evolutionary distance via models of genome rearrangement, most are tied to a particular set of genomic modelling assumptions and to a r…
Uniformization stable Markov models and their Jordan algebraic structure
Luke Cooper, Jeremy Sumner
We provide a characterisation of the continuous-time Markov models where the Markov matrices from the model can be parameterised directly in terms of the associated rate matrices (…
A new algebraic approach to genome rearrangement models
Venta Terauds, Jeremy Sumner
We present a unified framework for modelling genomes and their rearrangements in a genome algebra, as elements that simultaneously incorporate all physical symmetries. Building on…
On equal-input and monotone Markov matrices
Michael Baake, Jeremy Sumner
The practically important classes of equal-input and of monotone Markov matrices are revisited, with special focus on embeddability, infinite divisibility, and mutual relations. Se…