Now showing items 1-5 of 161

    • 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 ...