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

  • Sesqui-arrays, a generalisation of triple arrays 

    Bailey, Rosemary Anne; Cameron, Peter Jephson; Nilson, Tomas (2018-02-13) - Journal article
    A triple array is a rectangular array containing letters, each letter occurring equally often with no repeats in rows or columns, such that the number of letters common to two rows, two columns, or a row and a column are ...
  • Slow and fast escape for open intermittent maps 

    Demers, Mark F.; Todd, Mike (2017-04) - Journal article
    If a system mixes too slowly, putting a hole in it can completely destroy the richness of the dynamics. Here we study this instability for a class of intermittent maps with a family of slowly mixing measures. We show that ...
  • The infinite simple group V of Richard J. Thompson : presentations by permutations 

    Bleak, Collin; Quick, Martyn (2017) - Journal article
    We show that one can naturally describe elements of R. Thompson's finitely presented infinite simple group V, known by Thompson to have a presentation with four generators and fourteen relations, as products of permutations ...
  • Return times at periodic points in random dynamics 

    Haydn, Nicolai; Todd, Michael John (2017-01) - Journal article
    We prove a quenched limiting law for random measures on subshifts at periodic points. We consider a family of measures {µω}ω∈Ω, where the ‘driving space’ Ω is equipped with a probability measure which is invariant under a ...
  • Inhomogeneous self-similar sets with overlaps 

    Baker, Simon; Fraser, Jonathan M.; Máthé, András (2017-05-04) - Journal article
    It is known that if the underlying iterated function system satisfies the open set condition, then the upper box dimension of an inhomogeneous self-similar set is the maximum of the upper box dimensions of the homogeneous ...

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