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New approaches to higher-dimensional general relativity
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2011-06-07)
This thesis considers various aspects of general relativity in more than four spacetime dimensions.
Firstly, I review the generalization to higher dimensions of the algebraic classification of the Weyl tensor and the ...
Geometric aspects of gauge and spacetime symmetries
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity College, 2011-06-07)
We investigate several problems in relativity and particle physics where symmetries play a central role; in all cases geometric properties of Lie groups and their quotients are related to physical effects. The first part ...
Exploring nonlinear regression methods, with application to association studies
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsSt. Catharine's College, 2011-07-12)
The field of nonlinear regression is a long way from reaching a consensus. Once a method decides to explore nonlinear combinations of predictors, a number of questions are raised, such as what nonlinear combinations to ...
Tidal interactions between planets and stars
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsSelwyn College, 2011-06-07)
Since the first discovery of an extrasolar planet around a solar-type star, observers
have detected over 500 planets outside the solar system. Many of these planets have
Jovian masses and orbit their host stars in orbits ...
The application of automated perturbation theory to lattice QCD
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity College, 2011-11-08)
Predictions of heavy quark parameters are an integral component of precision
tests of the Standard Model of particle physics. Experimental measurements
of electroweak processes involving heavy hadrons provide stringent ...
Spiky strings and the AdS/CFT correspondence
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2011-10-11)
In this dissertation, we explore some aspects of semiclassical type IIB string
theory on AdS3 × S1 and on pure AdS3 in the limit of large angular momentum
S.
We first focus on the integrability technique known as ...
A simple Bayesian estimate of direct RNAi gene regulation events from differential gene expression profiles
(2011-05-20)
Abstract Background Microarrays are commonly used to investigate both the therapeutic potential and functional effects of RNA interfering (RNAi) oligonucleotides such as microRNA (miRNA) and small interfering RNA (siRNA). ...
On Villani's conjecture concerning entropy production for the Kac Master equation
(America Institute of Mathematical SciencesKinetic and Related Models, 2011-06-01)
In this paper we take an idea presented in recent paper by Carlen, Carvalho, Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new estimation essentially ...
Witt groups of complex varieties
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity Hall, 2011-07-12)
The thesis Witt Groups of Complex Varieties studies and compares two related cohomology theories that arise in the areas of algebraic geometry and topology: the algebraic theory of Witt groups, and real topological K-theory. ...