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Now showing items 11-16 of 16
Isoperimetric Variational Techniques and Applications
(2010-12-06)
This project is at the interface between Nonlinear Functional Analysis, Con-
vex Analysis and Di erential Equations. It concerns one of the most powerful
methods often used to solve optimization problems with constraints; ...
Aspects of higher dimensional Einstein theory and M-theory
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2012-10-09)
This thesis contains two main themes. The first is Einstein's theory of general relativity in higher dimensions, while the second is M-theory.
The first part of the thesis concerns the use of classification techniques ...
Constrained dynamics and higher derivative systems in modified gravity
(University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2015-06-09)
In this thesis, higher derivative theories and constrained dynamics are investigated in detail. In the first part of the thesis, we discuss how the Ostrogradski instability emerges in non-degenerate higher derivative ...
Symmetric structures in Banach spaces
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 1990-02-20)
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 ...
Graphical representations of Ising and Potts models: stochastic geometry of the quantum Ising model and the space-time Potts model
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsStatistical LaboratoryGonville & Caius College, 2010-02-09)
Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic
properties as ...