15 citations · 32 across the 9 of their papers we have counts for
10 papers
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…
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…
Pure point measures with sparse support and sparse Fourier--Bohr support
Michael Baake, Nicolae Strungaru, Venta Terauds
Fourier-transformable Radon measures are called doubly sparse when both the measure and its transform are pure point measures with sparse support. Their structure is reasonably wel…
Circular genome rearrangement models: applying representation theory to evolutionary distance calculations
Venta Terauds, Jeremy Sumner
We investigate the symmetry of circular genome rearrangement models, discuss the implementation of a new representation-theoretic method of calculating evolutionary distances betwe…
Diffraction theory and almost periodic distributions
Nicolae Strungaru, Venta Terauds
We introduce and study the notions of translation bounded tempered distributions, and autocorrelation for a tempered distrubution. We further introduce the spaces of weakly, strong…