Mathematics & Statistics (School of): Recent submissions
Now showing items 1-5 of 397
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Mathematical models of atmospheric convection : a Lagrangian perspective
(2023-06-13) - ThesisThis thesis presents extensions and enhancements to an existing Lagrangian model for atmospheric convection. The Moist Parcel-In-Cell (MPIC) method, developed by Dritschel et al. (2018), is a novel approach which avoids ... -
Solving decision problems in finitely presented groups via generalized small cancellation theory
(2023-06-13) - ThesisThis thesis studies two decision problems for finitely presented groups. Using a standard RAM model of computation, in which the basic arithmetical operations on integers are assumed to take constant time, in Part I we ... -
Solar cycle variation of photospheric and chromospheric magnetic and ultraviolet emission features observed by the Solar Dynamics Observatory
(2022-11-29) - ThesisThe solar magnetic field exhibits cyclic behaviour over a period of 22 years, continually reprocessing the poloidal, dipolar magnetic field into toroidal, quadrupolar magnetic field and vice versa. The cyclic behaviour of ... -
Limit sets, Julia sets and Sullivan’s dictionary : a dimension theoretic analysis
(2023-06-13) - ThesisThis thesis includes work from four papers that were written during the author’s time as a PhD student with Jonathan Fraser, namely [40, 41, 42, 43]. Chapter 1 introduces the two main settings that will be studied ... -
Diameters of graphs related to groups and base sizes of primitive groups
(2022-11-29) - ThesisIn this thesis, we study three problems. First, we determine new bounds for base sizes b(G,Ω) of primitive subspace actions of finite almost simple classical groups G. Such base sizes are useful statistics in computational ...