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

  • On optimality and construction of circular repeated-measurements designs 

    Bailey, Rosemary Anne; Cameron, Peter Jephson; Filipiak, Katarzyna; Kunert, Joachim; Markiewicz, Augustyn (2017-01) - Journal article
    The aim of this paper is to characterize and construct universally optimal designs among the class of circular repeated-measurements designs when the parameters do not permit balance for carry-over effects. It is shown ...
  • Transience and multifractal analysis 

    Iommi, Godofredo; Jordan, Thomas; Todd, Michael John (2016-01-11) - Journal article
    We study dimension theory for dissipative dynamical systems, proving a conditional variational principle for the quotients of Birkhoff averages restricted to the recurrent part of the system. On the other hand, we show ...
  • Average distances on self-similar sets and higher order average distances of self-similar measures 

    Allen, D.; Edwards, H.; Harper, S.; Olsen, Lars Ole Ronnow (2016-12-29) - Journal article
    The purpose of this paper is twofold: (1) We study different notions of the average distance between two points of a self-similar subset of ℝ, and (2) we investigate the asymptotic behaviour of higher order average moments ...
  • Multifractal spectra and multifractal zeta-functions 

    Mijovic, Vuksan; Olsen, Lars Ole Ronnow (2016-12-31) - Journal article
    We introduce multifractal zetafunctions providing precise information of a very general class of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra ...
  • The Assouad dimension of self-affine carpets with no grid structure 

    Fraser, Jonathan MacDonald; Jordan, Thomas (2016-12-21) - Journal article
    Previous study of the Assouad dimension of planar self-affine sets has relied heavily on the underlying IFS having a `grid structure', thus allowing for the use of approximate squares. We study the Assouad dimension of a ...

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