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

  • Computing maximal subsemigroups of a finite semigroup 

    Donoven, C. R.; Mitchell, J. D.; Wilson, W. A. (2018-07-01) - Journal article
    A proper subsemigroup of a semigroup is maximal if it is not contained in any other proper subsemigroup. A maximal subsemigroup of a finite semigroup has one of a small number of forms, as described in a paper of Graham, ...
  • On average Hewitt-Stromberg measures of typical compact metric spaces 

    Olsen, Lars (2019-01-24) - Journal article
    We study average Hewitt-Stromberg measures of typical compact metric spaces belonging to the Gromov-Hausdorff space (of all compact metric spaces) equipped with the Gromov-Hausdorff metric.
  • Multi-part balanced incomplete-block designs 

    Bailey, Rosemary Anne; Cameron, Peter Jephson (2019-01-23) - Journal article
    We consider designs for cancer trials which allow each medical centre to treat only a limited number of cancer types with only a limited number of drugs. We specify desirable properties of these designs, and prove some ...
  • Rigidity for sticky disks 

    Connelly, Robert; Gortler, Steven J.; Theran, Louis Simon (2019-01-14) - Journal article
    We study the combinatorial and rigidity properties of disk packings with generic radii. We show that a packing of n disks in the plane with generic radii cannot have more than 2n − 3 pairs of disks in contact. The allowed ...
  • On the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞ 

    Olsen, Lars Ole Ronnow (2019-02) - Journal article
    Let (X,ε,μ) be a measure space and let ƒ:X→ ℝ be a measurable function such that ||ƒ||p < ∞ for all p ≥ 1 and ||ƒ||∞ >0.  In this paper, we describe the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞.

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