Browsing Open Access Repositories by Subject "Mathematics"
Now showing items 1-5 of 5
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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 ...
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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 ...
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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 ...
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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 ...
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Symmetric structures in Banach spaces
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 1990-02-20)