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Are there testable discrete Poincaré invariant physical theories?
(IOP PublishingClassical and Quantum Gravity, 2018-09-05)
In a model of physics taking place on a discrete set of points that approximates Minkowski space, one might perhaps expect there to be an empirically identifiable preferred frame. However, the work of Dowker et al (2004 ...
Capillary retraction of the edge of a stretched viscous sheet
(Cambridge University PressJournal of Fluid Mechanics, 2018-04-03)
Surface tension causes the edge of a fluid sheet to retract. If the sheet is also stretched along its edge then the flow and the rate of retraction are modified. A universal similarity solution for the Stokes flow in a ...
An elliptic regularity theorem for fractional partial differential operators
(Computational and Applied Mathematics, 2018-09-01)
Avalanching on dunes and its effects: Size statistics, stratification, & seismic surveys
(University of CambridgeApplied Mathematics and Theoretical PhysicsSt. Catharine's College, 2018-10-20)
Geophysical research has long been interdisciplinary, with many phenomena on the Earth's surface involving multiple, linked processes that are best understood using a combination of techniques. This is particularly true ...
Spiral density waves and vertical circulation in protoplanetary discs
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2018-06-01)
Spiral density waves dominate several facets of accretion disc dynamics – planet-disc interactions and gravitational instability (GI) most prominently. Though they have been examined thoroughly in two-dimensional simulations, ...
A Variational Model for Joint Motion Estimation and Image Reconstruction
(Society for Industrial and Applied MathematicsSIAM Journal on Imaging Sciences, 2018-01)
The aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eulerian motion model. The model can be set ...
Analytic solutions for reduced leading-edge noise aerofoils
(American Institute of Aeronautics and Astronautics2018 AIAA/CEAS Aeroacoustics Conference, 2018-01-01)
This paper presents an analytic solution for the sound generated by an unsteady gust interacting with a semi-infinite flat plate with a piecewise linear periodic leading edge. The Wiener-Hopf method is used in conjunction ...
Modelling non-linear exposure-disease relationships in a large individual participant meta-analysis allowing for the effects of exposure measurement error
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsMRC Biostatistics Unit, 2012-10-09)
This thesis was motivated by data from the Emerging Risk Factors Collaboration (ERFC), a
large individual participant data (IPD) meta-analysis of risk factors for coronary heart disease(CHD). Cardiovascular disease is the ...
Extremal and probabilistic bootstrap percolation
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2013-11-12)
In this dissertation we consider several extremal and probabilistic problems in bootstrap percolation on various families of graphs, including grids, hypercubes and trees. Bootstrap percolation is one of the simplest ...
Maximum likelihood parameter estimation in time series models using sequential Monte Carlo
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsStatistical LaboratoryDarwin College, 2013-06-11)
Time series models are used to characterise uncertainty in many real-world dynamical phenomena. A time series model typically contains a static variable, called parameter, which parametrizes the joint law of the random ...