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.

For more information please visit the School of Mathematics and Statistics home page.

Recent Submissions

  • Counting chirps: acoustic monitoring of cryptic frogs 

    Measey, G. John; Stevenson, Ben C.; Scott, Tanya; Altwegg, Res; Borchers, David L. (2016-12-01) - Journal article
    1 .  Global amphibian declines have resulted in a vital need for monitoring programmes that follow population trends. Monitoring using advertisement calls is ideal as choruses are undisturbed during data collection. However, ...
  • On the dimensions of a family of overlapping self-affine carpets 

    Fraser, Jonathan MacDonald; Shmerkin, Pablo (2016-12) - Journal article
    We consider the dimensions of a family of self-affine sets related to the Bedford-McMullen carpets. In particular, we fix a Bedford-McMullen system and then randomise the translation vectors with the stipulation that the ...
  • String C-groups as transitive subgroups of Sn 

    Cameron, Peter Jephson; Fernandes, Maria Elisa; Leemans, Dimitri; Mixer, Mark (2016-02-01) - Journal article
    If Γ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of Γ is at most n/2+1, with finitely many exceptions (which are ...
  • The Assouad dimensions of projections of planar sets 

    Fraser, Jonathan MacDonald; Orponen, Tuomas (2016-10-14) - Journal article
    We consider the Assouad dimensions of orthogonal projections of planar sets onto lines. Our investigation covers both general and self-similar sets.For general sets, the main result is the following: if a set in the plane ...
  • On the Lq -spectrum of planar self-affine measures 

    Fraser, Jonathan M. (2016) - Journal article
    We study the dimension theory of a class of planar self-affine multifractal measures. These measures are the Bernoulli measures supported on box-like self-affine sets, introduced by the author, which are the attractors of ...

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