Department of Mathematical Sciences

The smooth representations of GL_2(o) (2009)
Journal Article
Stasinski, A. (2009). The smooth representations of GL_2(o). Communications in Algebra, 37(12), 4416-4430. https://doi.org/10.1080/00927870902829049

We give a classification of the smooth (complex) representations of GL2(.

Modelling the global solar corona III: Origin of the hemispheric pattern of filaments (2009)
Journal Article
Yeates, A., & Mackay, D. (2009). Modelling the global solar corona III: Origin of the hemispheric pattern of filaments. Solar Physics, 254(1), 77-88. https://doi.org/10.1007/s11207-008-9276-7

We consider the physical origin of the hemispheric pattern of filament chirality on the Sun. Our 3D simulations of the coronal field evolution over a period of six months, based on photospheric magnetic measurements, were previously shown to be highl... Read More about Modelling the global solar corona III: Origin of the hemispheric pattern of filaments.

Orbit-counting for nilpotent group shifts (2009)
Journal Article
Miles, R., & Ward, T. (2009). Orbit-counting for nilpotent group shifts. Proceedings of the American Mathematical Society, 137(04), 1499-1507. https://doi.org/10.1090/s0002-9939-08-09649-4

We study the asymptotic behaviour of the orbit-counting function and a dynamical Mertens' theorem for the full $G$-shift for a finitely-generated torsion-free nilpotent group $G$. Using bounds for the M{\"o}bius function on the lattice of subgroups o... Read More about Orbit-counting for nilpotent group shifts.

Functorial orbit counting (2009)
Journal Article
Pakapongpun, A., & Ward, T. (2009). Functorial orbit counting. Journal of integer sequences, 12, Article 09.2.4

We study the functorial and growth properties of closed orbits for maps. By viewing an arbitrary sequence as the orbit-counting function for a map, iterates and Cartesian products of maps define new transformations between integer sequences. An orbit... Read More about Functorial orbit counting.

Bayesian classification of shapes hidden in point cloud data (2009)
Presentation / Conference Contribution
Srivastava, A., & Jermyn, I. (2009, January). Bayesian classification of shapes hidden in point cloud data. Presented at IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, 2009 (DSP/SPE 2009 ), Marco Island, USA

An interesting challenge in image processing is to classify shapes of polygons formed by selecting and ordering points in a 2D cluttered point cloud. This kind of data can result, for example, from a simple preprocessing of images containing objects... Read More about Bayesian classification of shapes hidden in point cloud data.

Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks (2009)
Presentation / Conference Contribution
Sigelle, M., Jermyn, I., Perreau, S., & Jayasuriya, A. (2009, December). Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks. Presented at 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, 2009. WiOPT 2009., Seoul

We describe basic properties of Markov chains on finite state spaces and their application to Green functions, partial differential equations, and their (approximate) solution using random walks on a graph. Attention is paid to the influence of bound... Read More about Lattice Green functions and diffusion for modelling traffic routing in ad hoc networks.

Outputs (146)