Mathematics & Statistics (School of)
The School has research strengths across Pure Mathematics, Applied Mathematics and Statistics. All the Research groups are internationally-leading, and attract researchers, postgraduate students and collaborators from across the world. The School is also well-known for its research in the History of Mathematics.
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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 ... -
Synchronisation and separation permutation groups through graphs
(2022-06-14) - ThesisAbout 15 years ago, Araújo, Arnold and Steinberg introduced the notion of synchronisation to the theory of finite permutation groups. Synchronisation property is closely related to another property which is called separation, ... -
Advances on priors for the Dirichlet process mixture model with Gaussian kernels
(2022-11-29) - ThesisAbstract redacted -
Applications of likelihood-free parameter inference methods on numerical models of cancer invasion
(2022-07-27) - ThesisIn this thesis, we present two different methods to estimate parameters within a Partial Differential Equation (PDE) model of cancer invasion and an Individual-based Model (IBM) derived from it. The PDE model was fitted ...
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