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New approaches to modern statistical classification problems
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2015-11-10)
This thesis concerns the development and mathematical analysis of statistical procedures for
classification problems. In supervised classification, the practitioner is presented with the
task of assigning an object to ...
Stability and bifurcation for the Kuramoto model
(ElsevierJournal de Mathématiques Pures et Appliquées, 2015-11-11)
We study the mean-field limit of the Kuramoto model of globally coupled oscillators. By studying the evolution in Fourier space and understanding the domain of dependence, we show a global stability result. Moreover, we ...
A More General Pandora Rule?
(ElsevierJournal of Economic Theory, 2015-11-02)
In a model introduced by Weitzman an agent called Pandora opens boxes sequentially, in whatever order she likes, discovers prizes within, and optimally stops. Her aim is to maximize the expected value of the greatest ...
Optimal impartial selection
(Society for Industrial and Applied MathematicsSIAM Journal on Computing, 2015-10-20)
We study a fundamental problem in social choice theory, the selection of a member of a set of agents based on impartial nominations by agents from that set. Studied previously by Alon et al. [Proceedings of TARK, 2011, pp. ...
Critical behaviour in charging of electric vehicles
(IOP PublishingNew Journal of Physics, 2015-09-02)
The increasing penetration of electric vehicles over the coming decades, taken together with the high cost to upgrade local distribution networks and consumer demand for home charging, suggest that managing congestion on ...
The X-ray transform for connections in negative curvature
(SpringerCommunications in Mathematical Physics, 2015-11-23)
We consider integral geometry inverse problems for unitary connections and skew-Hermitian Higgs fields on manifolds with negative sectional curvature. The results apply to manifolds in any dimension, with or without boundary, ...
Remarks on motives of abelian type
(Tohoku Mathematical Journal, 2015-08-11)
A motive over a field k is of abelian type if it belongs to the thick and rigid subcategory of Chow motives spanned by the motives of abelian varieties over k. This paper contains three sections of independent interest. ...
Computing the Cassels-Tate pairing
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2015-11-10)
Birational geometry of hypersurfaces in products of projective spaces
(SpringerMathematische Zeitschrift, 2015)
We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in Pm x Pn, we describe their nef, movable and e ective cones and determine when they are Mori dream ...
Post-inflationary non-Gaussianities on the cosmic microwave background
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity Hall, 2015-06-30)
The cosmic microwave background (CMB) provides unprecedented details about the history of our universe and helps to establish the standard model in modern cosmology. With the ongoing and future CMB observations, higher ...