Pure Mathematics Theses: Recent submissions
Now showing items 66-70 of 76
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A commutative noncommutative fractal geometry
(University of St Andrews, 2010) - ThesisIn this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained. Firstly, starting with Connes' spectral triple for a non-empty ... -
The lesser names : the teachers of the Edinburgh Mathematical Society and other aspects of Scottish mathematics, 1867–1946
(University of St Andrews, 2011-06-22) - ThesisThe Edinburgh Mathematical Society started out in 1883 as a society with a large proportion of teachers. Today, the member base is mainly academical and there are only a few teachers left. This thesis explores how and when ... -
Stable and multistable processes and localisability
(University of St Andrews, 2010-06-23) - ThesisWe first review recent work on stable and multistable random processes and their localisability. Then most of the thesis concerns a new approach to these topics based on characteristic functions. Our aim is to construct ... -
Classification and enumeration of finite semigroups
(University of St Andrews, 2010-06-23) - ThesisThe classification of finite semigroups is difficult even for small orders because of their large number. Most finite semigroups are nilpotent of nilpotency rank 3. Formulae for their number up to isomorphism, and up ... -
Generating uncountable transformation semigroups
(University of St Andrews, 2009) - ThesisWe consider naturally occurring, uncountable transformation semigroups S and investigate the following three questions. (i) Is every countable subset F of S also a subset of a finitely generated subsemigroup of S? If so, ...