Pure Mathematics Research

 

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

  • Maximal subsemigroups of finite transformation and diagram monoids 

    East, James; Kumar, Jitender; Mitchell, James D.; Wilson, Wilf A. (2018-06-15) - Journal article
    We describe and count the maximal subsemigroups of many well-known transformation monoids, and diagram monoids, using a new unified framework that allows the treatment of several classes of monoids simultaneously. The ...

  • 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, ...

  • Phases of physics in J.D. Forbes’ Dissertation Sixth for the Encyclopaedia Britannica (1856) 

    Falconer, Isobel Jessie (2018-12-03) - Journal article
    This paper takes James David Forbes’ Encyclopaedia Britannica entry, Dissertation Sixth, as a lens to examine physics as a cognitive, practical, and social, enterprise. Forbes wrote this survey of eighteenth- and ...

  • Equilibrium states, pressure and escape for multimodal maps with holes 

    Demers, Mark F.; Todd, Mike (2017-09) - Journal article
    For a class of non-uniformly hyperbolic interval maps, we study rates of escape with respect to conformal measures associated with a family of geometric potentials. We establish the existence of physically relevant ...

  • Two variants of the froidure-pin algorithm for finite semigroups 

    Jonusas, Julius; Mitchell, J. D.; Pfeiffer, M. (2018-02-08) - Journal article
    In this paper, we present two algorithms based on the Froidure-Pin Algorithm for computing the structure of a finite semigroup from a generating set. As was the case with the original algorithm of Froidure and Pin, the ...

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