Pure Mathematics Research: Recent submissions
Now showing items 1-5 of 14
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Maximal subsemigroups of finite transformation and diagram monoids
(2018-06-15) - Journal articleWe 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
(2018-07-01) - Journal articleA 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)
(2018-12-03) - Journal articleThis 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
(2017-09) - Journal articleFor 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
(2018-02-08) - Journal articleIn 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 ...