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Charge quantization from a number operator
(ElsevierPhysics Letters B, 2015-01-26)
We explain how an unexpected algebraic structure, the division algebras, can be seen to underlie a generation of quarks and leptons. From this new vantage point, electrons and quarks are simply excitations from the neutrino, ...
Optimal amount of entanglement to distinguish quantum states instantaneously
(American Physical SocietyPhysical Review A, 2015-11-30)
We introduce an aspect of nonlocality which arises when the task of quantum states distinguishability is considered under local operations and shared entanglement in the absence of classical communication. We find the ...
Graviton time delay and a speed limit for small black holes in Einstein-Gauss-Bonnet theory
(Journal of High Energy Physics, 2015-11-17)
The Evolution of a Supermassive Retrograde Binary Embedded in an Accretion Disk
(Open Astronomy, 2015-01-01)
The effects of an opposing buoyancy force on the performance of an air curtain in the doorway of a building
(ElsevierEnergy and Buildings, 2015-06-01)
We investigate the effects of an opposing buoyancy force on the performance of an air curtain in the doorway which separates a warm indoor environment from the cold exterior. Such an opposing buoyancy force arises for ...
The contact property for magnetic flows on surfaces
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 2015-01-06)
This work investigates the dynamics of magnetic flows on closed orientable Riemannian surfaces. These flows are determined by triples (M, g, σ), where M is the surface, g is the metric and σ is a 2-form on M . Such dynamical ...
Hypergraph containers
(SpringerInventiones Mathematicae, 2015-01-08)
We develop a notion of containment for independent sets in hypergraphs. For every r-uniform hypergraph G, we find a relatively small collection C of vertex subsets, such that every independent set of G is contained within ...
Quiver algebras as Fukaya categories
(Mathematical Sciences PublishersGeometry & Topology, 2015-10-20)
We embed triangulated categories defined by quivers with potential arising from ideal triangulations of marked bordered surfaces into Fukaya categories of quasiprojective 3–folds associated to meromorphic quadratic ...
Polynomials and models of type theory
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsMagdalene College, 2015-06-30)
This thesis studies the structure of categories of polynomials, the diagrams that represent polynomial functors. Specifically, we construct new models of intensional dependent type theory based on these categories.
Firstly, ...
Refactoring learning management systems for multi-device use in developing countries
(2015)
Although learning management systems (LMSs) have been widely adopted by universities in developing countries, their potential to support students' learning has not been fully exploited due to several factors. Some of the ...