Skip to main content

Research Repository

Advanced Search

All Outputs (118)

Quantum complex sine-Gordon model on a half line (2007)
Journal Article
Bowcock, P., & Tzamtzis, G. (2007). Quantum complex sine-Gordon model on a half line. Journal of High Energy Physics, 2007(11), Article 018. https://doi.org/10.1088/1126-6708/2007/11/018

In this paper, we examine the quantum complex sine-Gordon model on a half line. We obtain the quantum spectrum of boundary bound states using the the semi-classical method of Dashen, Hasslacher and Neveu. The results are compared and found to agree w... Read More about Quantum complex sine-Gordon model on a half line.

A new reconstruction of multivariate normal orthant probabilities (2007)
Journal Article
Craig, P. (2008). A new reconstruction of multivariate normal orthant probabilities. Journal of the Royal Statistical Society: Series B, 70(1), 227-243. https://doi.org/10.1111/j.1467-9868.2007.00625.x

A new method is introduced for geometrically reconstructing orthant probabilities for non-singular multivariate normal distributions. Orthant probabilities are expressed in terms of those for auto-regressive sequences and an efficient method is devel... Read More about A new reconstruction of multivariate normal orthant probabilities.

Transforms for minimal surfaces in the 5-sphere (2007)
Journal Article
Bolton, J., & Vrancken, L. (2009). Transforms for minimal surfaces in the 5-sphere. Differential Geometry and its Applications, 27(1), 34-46. https://doi.org/10.1016/j.difgeo.2008.06.005

We define two transforms between minimal surfaces with non-circular ellipse of curvature in the 5-sphere, and show how this enables us to construct, from one such surface, a sequence of such surfaces. We also use the transforms to show how to associa... Read More about Transforms for minimal surfaces in the 5-sphere.

A Markov chain model of a polling system with parameter regeneration (2007)
Journal Article
MacPhee, I. M., Menshikov, M., Petritis, D., & Popov, S. (2007). A Markov chain model of a polling system with parameter regeneration. Annals of Applied Probability, 17(5/6), 1447-1473. https://doi.org/10.1214/105051607000000212

We study a model of a polling system i.e. a collection of d queues with a single server that switches from queue to queue. The service time distribution and arrival rates change randomly every time a queue is emptied. This model is mapped to a mathem... Read More about A Markov chain model of a polling system with parameter regeneration.

Weighted Repeated Median Smoothing and Filtering (2007)
Journal Article
Fried, R., Einbeck, J., & Gather, U. (2007). Weighted Repeated Median Smoothing and Filtering. Journal of the American Statistical Association, 102(480), 1300-1308. https://doi.org/10.1198/016214507000001166

We propose weighted repeated median filters and smoothers for robust non-parametric regression in general and for robust online signal extraction from time series in particular. The new methods allow to remove outlying sequences and to preserve disco... Read More about Weighted Repeated Median Smoothing and Filtering.

Counting maximal arithmetic subgroups (2007)
Journal Article
Belolipetsky, M., Ellenberg, J., & Venkatesh, A. (2007). Counting maximal arithmetic subgroups. Duke Mathematical Journal, 140(1), 1-33. https://doi.org/10.1215/s0012-7094-07-14011-0

We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semisimple Lie group using an extension of the method developed by Borel and Prasad.

Dimension reduction via principal variables (2007)
Journal Article
Cumming, J., & Wooff, D. (2007). Dimension reduction via principal variables. Computational Statistics & Data Analysis, 52(1), 550-565. https://doi.org/10.1016/j.csda.2007.02.012

For many large-scale datasets it is necessary to reduce dimensionality to the point where further exploration and analysis can take place. Principal variables are a subset of the original variables and preserve, to some extent, the structure and info... Read More about Dimension reduction via principal variables.

Higher-order active contour energies for gap closure (2007)
Journal Article
Rochery, M., Jermyn, I., & Zerubia, J. (2007). Higher-order active contour energies for gap closure. Journal of Mathematical Imaging and Vision, 29(1), 1-20. https://doi.org/10.1007/s10851-007-0021-x

One of the main difficulties in extracting line networks from images, and in particular road networks from remote sensing images, is the existence of interruptions in the data caused, for example, by occlusions. These can lead to gaps in the extracte... Read More about Higher-order active contour energies for gap closure.

A simple formula for the conserved charges of soliton theories (2007)
Journal Article
Ferreira, L. A., & Zakrzewski, W. (2007). A simple formula for the conserved charges of soliton theories. Journal of High Energy Physics, 2007(09), https://doi.org/10.1088/1126-6708/2007/09/015

We present a simple formula for all the conserved charges of soliton theories, evaluated on the solutions belonging to the orbit of the vacuum under the group of dressing transformations. For pedagogical reasons we perform the explicit calculations f... Read More about A simple formula for the conserved charges of soliton theories.

A Phase Field Model Incorporating Generic and Specific Prior Knowledge Applied to Road Network Extraction from VHR Satellite Images (2007)
Presentation / Conference Contribution
Peng, T., Jermyn, I., Prinet, V., Zerubia, J., & Hu, B. (2007). A Phase Field Model Incorporating Generic and Specific Prior Knowledge Applied to Road Network Extraction from VHR Satellite Images. In N. . M. Rajpoot, & A. . H. Bhalerao (Eds.), Proceedings of the British Machine Vision Conference 2007 (1-10). https://doi.org/10.5244/c.21.89

We address the problem of updating road maps in dense urban areas by extracting the main road network from a very high resolution (VHR) satellite image. Our model of the region occupied by the road network in the image is innovative. It incorporates... Read More about A Phase Field Model Incorporating Generic and Specific Prior Knowledge Applied to Road Network Extraction from VHR Satellite Images.

Modelling the global solar corona : filament chirality observations and surface simulations (2007)
Journal Article
Yeates, A., Mackay, D., & van Ballegooijen, A. (2007). Modelling the global solar corona : filament chirality observations and surface simulations. Solar Physics, 245(1), 87-107. https://doi.org/10.1007/s11207-007-9013-7

The hemispheric pattern of solar filaments is considered in the context of the global magnetic field of the solar corona. In recent work Mackay and van Ballegooijen have shown how, for a pair of interacting magnetic bipoles, the observed chirality pa... Read More about Modelling the global solar corona : filament chirality observations and surface simulations.

Paths for Z_k parafermionic models (2007)
Journal Article
Jacob, P., & Mathieu, P. (2007). Paths for Z_k parafermionic models. Letters in Mathematical Physics, 81(3), 211-226. https://doi.org/10.1007/s11005-007-0182-y

We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules. The bijection implies a direct correspondence between a RSOS path and... Read More about Paths for Z_k parafermionic models.

A `Gas of Circles' Phase Field Model and its Application to Tree Crown Extraction (2007)
Presentation / Conference Contribution
Horváth, P., & Jermyn, I. (2007). A `Gas of Circles' Phase Field Model and its Application to Tree Crown Extraction. In 15th European Signal Processing Conference (EUSIPCO 2007), Poznan, Poland, September 3-7, 2007 ; proceedings

The problem of extracting the region in the image domain corresponding to an a priori unknown number of circular objects occurs in several domains. We propose a new model of a ‘gas of circles’, the ensemble of regions in the image domain composed of... Read More about A `Gas of Circles' Phase Field Model and its Application to Tree Crown Extraction.