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

  • On well quasi-order of graph classes under homomorphic image orderings 

    Huczynska, S.; Ruškuc, N. (2017-06) - Journal article
    In this paper we consider the question of well quasi-order for classes defined by a single obstruction within the classes of all graphs, digraphs and tournaments, under the homomorphic image ordering (in both its standard ...
  • Enumerating transformation semigroups 

    East, James; Egri-Nagy, Attila; Mitchell, James D. (2017-08) - Journal article
    We describe general methods for enumerating subsemigroups of finite semigroups and techniques to improve the algorithmic efficiency of the calculations. As a particular application we use our algorithms to enumerate all ...
  • Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems 

    Holland, Mark; Todd, Mike (2017-09-07) - Journal article
    For a measure-preserving dynamical system (X, ƒ, μ), we consider the time series of maxima Mn = max{X1,…,Xn} associated to the process Xn = φ (ƒn-1(x)) generated by the dynamical system for some observable φ : Χ → R . Using ...
  • The cycle polynomial of a permutation group 

    Cameron, Peter J.; Semeraro, Jason (2018-01-25) - Journal article
    The cycle polynomial of a finite permutation group G is the generating function for the number of elements of G with a given number of cycles.In the first part of the paper, we develop basic properties of this polynomial, ...
  • Affine rigidity and conics at infinity 

    Connelly, Robert; Gortler, Steven J.; Theran, Louis (2017-02-26) - Journal article
    We prove that if a framework of a graph is neighborhood affine rigid in d-dimensions (or has the stronger property of having an equilibrium stress matrix of rank n — d — 1) then it has an affine flex (an affine, but non ...

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