Mathematics & Statistics Theses

 

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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Recent Submissions

  • Nonlinear partial differential equations on fractals 

    Hu, Jiaxin (University of St Andrews, 2001) - Thesis
    The 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 

    Pollard, John (University of St Andrews, 2002) - Thesis
    We 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 

    Werner, Ivan (University of St Andrews, 2004) - Thesis
    We 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 

    Wainwright, Robert J. (University of St Andrews, 2002) - Thesis
    Given 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 

    Dombi, Erzsebet Rita (University of St Andrews, 2005) - Thesis
    To 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 ...

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