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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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 ... -
Base size and generating graphs of primitive permutation groups
(University of St Andrews, 2022-06-14) - ThesisIn this thesis we consider base size and properties of the generating graph for finite groups. Let Ω = {1,...,n}, let Sₙ = Sym({1,...,n}) and let G ≤ Sₙ. A base for G is a sequence Λ = (ω₁, . . . , ωₖ) of points in Ω ... -
On singular pencils of matrices
(University of St Andrews, 1936) - Thesis"This thesis is a study of Singular Matrix Pencils under various aspects. In part (I) a new derivation of the Canonical Form of matrix pencils is given. This suggests investigation of the transformations of a pencil into ...
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