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

  • Hitting times and periodicity in random dynamics 

    Todd, Michael John; Rousseau, Jerome (2015-10) - Journal article
    We prove quenched laws of hitting time statistics for random subshifts of finite type. In particular we prove a dichotomy between the law for periodic and for non-periodic points. We show that this applies to random Gibbs ...
  • Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph 

    Dolinka, Igor; Gray, Robert Duncan; McPhee, Jillian Dawn; Mitchell, James David; Quick, Martyn (2016-05) - Journal article
    We establish links between countable algebraically closed graphs and the endomorphisms of the countable universal graph R. As a consequence we show that, for any countable graph Γ, there are uncountably many maximal subgroups ...
  • The infinite simple group V of Richard J. Thompson : presentations by permutations 

    Quick, Martyn; Bleak, Collin Patrick (2015) - Journal article
    We show one can naturally describe elements of R. Thompson's infinite finitely presented simple group V, known by Thompson to have a presentation with four generators and fourteen relations, as products of permutations ...
  • The random continued fraction transformation 

    Kalle, Charlene; Kempton, Thomas Michael William; Verbitskiy, Evgeny (2015-07) - Journal article
    We introduce a random dynamical system related to continued fraction expansions. It uses random combination of the Gauss map and the R\'enyi (or backwards) continued fraction map. We explore the continued fraction expansions ...
  • The scenery flow for self-affine measures 

    Kempton, Thomas Michael William (2015-05) - Journal article
    We describe the scaling scenery associated to Bernoulli measures supported on separated self-affine sets under the condition that certain projections of the measure are absolutely continuous.

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