Mathematics & Statistics (School of): Recent submissions
Now showing items 96-100 of 421
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Nonlinear partial differential equations on fractals
(University of St Andrews, 2001) - ThesisThe study of nonlinear partial differential equations on fractals is a burgeoning inter-disciplinary topic, allowing dynamic properties on fractals to be investigated. In this thesis we will investigate nonlinear PDEs of ... -
Adaptive distance sampling
(University of St Andrews, 2002) - ThesisWe investigate mechanisms to improve efficiency for line and point transect surveys of clustered populations by combining the distance methods with adaptive sampling. In adaptive sampling, survey effort is increased when ... -
Contractive Markov systems
(University of St Andrews, 2004) - ThesisWe introduce a theory of contractive Markov systems (CMS) which provides a unifying framework in so-called "fractal" geometry. It extends the known theory of iterated function systems (IFS) with place dependent probabilities ... -
Finding "small' matrices P,Q such that PDQ = S
(University of St Andrews, 2002) - ThesisGiven an integer matrix A, there is a unique matrix S of a particular form, called the Smith Normal Form, and non-unique unimodular matrices P and Q such that PAQ = S. It is often the case that these matrices P and Q will ... -
Automatic S-acts and inverse semigroup presentations
(University of St Andrews, 2005) - ThesisTo provide a general framework for the theory of automatic groups and semigroups, we introduce the notion of an automatic semigroup act. This notion gives rise to a variety of definitions for automaticity depending on the ...