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45 papers · 1 filter
Entanglement and density-functional theory: testing approximations on Hooke's atom
J. P. Coe, A. Sudbery, I. D'Amico
We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the…
Dynamical Implications of Viral Tiling Theory
K. M. ElSawy, A. Taormina, R. Twarock +1
The Caspar-Klug classification of viruses whose protein shell, called viral capsid, exhibits icosahedral symmetry, has recently been extended to incorporate viruses whose capsid pr…
DNA duplex cage structures with icosahedral symmetry
N. E. Grayson, A. Taormina, R. Twarock
A construction method for duplex cage structures with icosahedral sym- metry made out of single-stranded DNA molecules is presented and applied to an icosidodecahedral cage. It is…
A conjugate prior for discrete hierarchical log-linear models
Hélène Massam, Jinnan Liu, Adrian Dobra
In Bayesian analysis of multi-way contingency tables, the selection of a prior distribution for either the log-linear parameters or the cell probabilities parameters is a major cha…
Homology of coloured posets: a generalisation of Khovanov's cube construction
Brent Everitt, Paul Turner
We define a homology theory for a certain class of posets equipped with a representation. We show that when restricted to Boolean lattices this homology is isomorphic to the homolo…
Simultaneous inhomogeneous Diophantine approximation on manifolds
Victor Beresnevich, Sanju Velani
In 1998, Kleinbock & Margulis established a conjecture of V.G. Sprindzuk in metrical Diophantine approximation (and indeed the stronger Baker-Sprindzuk conjecture). In essence the…