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

  • The infinite simple group V of Richard J. Thompson : presentations by permutations 

    Quick, Martyn; Bleak, Collin Patrick (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 ...
  • Counting subwords and other results related to the generalised star-height problem for regular languages 

    Bourne, Thomas (University of St Andrews, 2017-12-07) - Thesis
    The Generalised Star-Height Problem is an open question in the field of formal language theory that concerns a measure of complexity on the class of regular languages; specifically, it asks whether or not there exists an ...
  • 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 ...
  • Arithmetic patches, weak tangents, and dimension 

    Fraser, Jonathan MacDonald; Yu, Han (2017-11-01) - Journal article
    We investigate the relationships between several classical notions in arithmetic combinatorics and geometry including the presence (or lack of) arithmetic progressions (or patches in dimensions at least 2), the structure ...

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