Main areas of research activity are algebra, including group theory, semigroup theory, lattice theory, and computational group theory, and analysis, including fractal geometry, multifractal analysis, complex dynamical systems, Kleinian groups, and diophantine approximations.

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Recent Submissions

  • An efficient acoustic density estimation method with human detectors applied to gibbons in Cambodia 

    Kidney, Darren; Rawson, Benjamin M.; Borchers, David Louis; Stevenson, Ben; Marques, Tiago A.; Thomas, Len (2016-05-19) - Journal article
    Some animal species are hard to see but easy to hear. Standard visual methods for estimating population density for such species are often ineffective or inefficient, but methods based on passive acoustics show more promise. ...
  • Embeddings into Thompson's group V and coCF groups 

    Bleak, Collin; Matucci, Francesco; Neunhöffer, Max (2016-04-28) - Journal article
    Lehnert and Schweitzer show in [21] that R. Thompson's group V is a co-context-free (coCF ) group, thus implying that all of its finitely generated subgroups are also coCF groups. Also, Lehnert shows in his thesis that V ...
  • Copulae on products of compact Riemannian manifolds 

    Jupp, P.E. (2015-09) - Journal article
    Abstract One standard way of considering a probability distribution on the unit n -cube, [0 , 1]n , due to Sklar (1959), is to decompose it into its marginal distributions and a copula, i.e. a probability distribution on ...
  • Graph automatic semigroups 

    Carey, Rachael Marie (University of St Andrews, 2016-06-24) - Thesis
    In this thesis we examine properties and constructions of graph automatic semigroups, a generalisation of both automatic semigroups and finitely generated FA-presentable semigroups. We consider the properties of graph ...
  • Idempotent rank in the endomorphism monoid of a non-uniform partition 

    Dolinka, Igor; East, James; Mitchell, James D. (2016-02) - Journal article
    We calculate the rank and idempotent rank of the semigroup E(X,P) generated by the idempotents of the semigroup T(X,P), which consists of all transformations of the finite set X preserving a non-uniform partition P. We ...

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