Browsing Pure & Applied Mathematics (Scholarly Publications) by Author "HOUGHTON, CONOR JAMES"
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A comment on "A fast L_p spike alignment metric" by A. J. Dubbs, B. A. Seiler and M. O. Magnasco [arXiv:0907.3137]
HOUGHTON, CONOR JAMES (2009)Measuring the transmitted information in metricbased clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed L_p VictorPurpura metric is used ... 
The effect of pion mass on Skyrme configurations
HOUGHTON, CONOR JAMES (2007)In the Skyrme model, atomic nuclei are identified with solitonic configurations. If the pion mass is set to zero, these configurations are spherical shells of energy with a fullerenelike appearance and are well approximated ... 
Finding community structures in networks by playing passtheparcel.
HOUGHTON, CONOR JAMES (2008)Many data sets can be represented by undirected networks. Often, an interesting and important feature of these networks is the existence of communities; groups of nodes whose interconnectivity is higher than the average ... 
Folding in the Skyrme model.
HOUGHTON, CONOR JAMES (American Institute of Physics, 2001)There are only three stable singularities of a differentiable map between threedimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU2, and its singularities correspond ... 
Icosahedral Skyrmions
HOUGHTON, CONOR JAMES (American Institute of Physics, 2003)In this article we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize ... 
Instanton vibrations of the 3Skyrmion
HOUGHTON, CONOR JAMES (American Physical Society, 1999)The AtiyahDrinfeldHitchinManin matrix corresponding to a tetrahedrally symmetric 3instanton is calculated. Some small variations of the matrix correspond to vibrations of the instantongenerated 3Skyrmion. These ... 
Inversion symmetric 3monopoles and the AtiyahHitchin manifold
HOUGHTON, CONOR JAMES (IOP, 1996)We consider 3monopoles symmetric under inversion symmetry. We show that the moduli space of these monopoles is an Atiyah?Hitchin submanifold of the 3monopole moduli space. This allows what is known about 2monopole ... 
A metric space approach to the information capacity of spike trains
HOUGHTON, CONOR JAMES; GILLESPIE, JAMES (2010)Classical information theory can be either discrete or continuous, corresponding to discrete or continuous random variables. However, although spike times in a spike train are described by continuous variables, the ... 
Multicloud solutions with massless and massive monopoles.
HOUGHTON, CONOR JAMES (American Physical Society, 2002)Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of nonAbelian fields surrounding one or more massive monopoles. In order to gain a better understanding ... 
Nahm data and the mass of 1/4BPS states
HOUGHTON, CONOR JAMES (American Physical Society, 2000)The mass of 1 / 4BPS dyonic configurations in N=4 D=4 supersymmetric YangMills theories is calculated within the Nahm formulation. The SU(3) example, with two massive monopoles and one massless monopole, is considered ... 
New hyperKaehler manifolds by fixing monopoles
HOUGHTON, CONOR JAMES (American Physical Society, 1997)The construction of new hyperKa?hler manifolds by taking the infinite monopole mass limit of certain Bogomol?nyiPrasadSommerfield monopole moduli spaces is considered. The oneparameter family of hyper Ka?hler manifolds ... 
A new multineuron spiketrain metric
HOUGHTON, CONOR JAMES (MIT Press, 2008)The VictorPurpura spiketrain metric has recently been extended to a family of multineuron metrics and used to analyze spike trains recorded simultaneously from pairs of proximate neurons. The Victor Purpura metric ... 
Octahedral and dodecahedral monopoles
HOUGHTON, CONOR JAMES (IOP, 1996)It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy ... 
On the constraints defining BPS monopoles
HOUGHTON, CONOR JAMES (Springer Science and Business Media, 2000)We discuss the explicit formulation of the transcendental constraints defining spectral curves of SU.2/ BPS monopoles in the twistor approach of Hitchin, following Ercolani and Sinha. We obtain an improved version of the ... 
Pulsation and precession of the resonant swinging spring
HOUGHTON, CONOR JAMES (Elsevier, 2004)When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio 2:1, there is a regular exchange of energy between the two modes of oscillation. We refer to this ... 
Skyrmions and monopoles: dihedrallysymmetric 3solitons.
HOUGHTON, CONOR JAMES (Met, 2001)The similarity between Skyrmions and BogomolnyPrasadSommerfield (BPS) monopoles has often been remarked. In this talk I will illustrate this similarity by reviewing the rational map ansatz and by discussing the specific ... 
Sparse coding of birdsong and receptive field structure in songbirds
HOUGHTON, CONOR JAMES; BARRETT, DAVID; GREENE, GARRETT (2009)Auditory neurons can be characterized by a spectrotemporal receptive field, the kernel of a linear filter model describing the neuronal response to a stimulus. With a view to better understanding the tuning properties ... 
The sparse decomposition of sound in the time domain using nonnegative quadratic programming.
HOUGHTON, CONOR JAMES (2009)Nonnegative matrix deconvolution and sparse decomposition are useful tools for source separation and acoustic object recognition. Here, a new algorithm for calculating a sparse decomposition of sound in the time domain ... 
Studying spike trains using a van Rossum metric with a synapselike filter
HOUGHTON, CONOR JAMES (2009)Spike trains are unreliable. For example, in the primary sensory areas, spike patterns and precise spike times will vary between responses to the same stimulus. Nonetheless, information about sensory inputs is communicated ...