71 citations · 374 across the 43 of their papers we have counts for
7 papers · 1 filter
A tensorial approach to the inversion of group-based phylogenetic models
Jeremy G. Sumner, Peter D. Jarvis, Barbara R. Holland
Using a tensorial approach, we show how to construct a one-one correspondence between pattern probabilities and edge parameters for any group-based model. This is a generalisation…
Tensor Rank, Invariants, Inequalities, and Applications
Elizabeth S. Allman, Peter D. Jarvis, John A. Rhodes +1
Though algebraic geometry over is often used to describe the closure of the tensors of a given size and complex rank, this variety includes tensors of both smaller and…
Algebraic random walks in the setting of symmetric functions
Peter D. Jarvis, Demosthenes Ellinas
Using the standard formulation of algebraic random walks (ARWs) via coalgebras, we consider ARWs for co-and Hopf-algebraic structures in the ring of symmetric functions. These deri…
Algebraic inversion of the Dirac equation for the vector potential in the non-abelian case
S. M. Inglis, P. D. Jarvis
We study the Dirac equation for spinor wavefunctions minimally coupled to an external field, from the perspective of an algebraic system of linear equations for the vector potentia…
Ribbon Hopf algebras from group character rings
Bertfried Fauser, Peter D. Jarvis, Ronald C. King
We study the diagram alphabet of knot moves associated with the character rings of certain matrix groups. The primary object is the Hopf algebra Char-GL of characters of the finite…
Lie Markov models with purine/pyrimidine symmetry
Jesús Fernández-Sánchez, Jeremy G. Sumner, Peter D. Jarvis +1
Continuous-time Markov chains are a standard tool in phylogenetic inference. If homogeneity is assumed, the chain is formulated by specifying time-independent rates of substitution…