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Parafermionic derivation of Andrews-type multiple sums (2005)
Journal Article
Jacob, P., & Mathieu, P. (2005). Parafermionic derivation of Andrews-type multiple sums. Journal of Physics A: Mathematical and General, 38(38), 8225-8238. https://doi.org/10.1088/0305-4470/38/38/004

A multi-parafermion basis of states for the Z_k parafermionic models is derived. Its generating function is constructed by elementary steps. It corresponds to the Andrews multiple-sum which enumerates partitions whose parts separated by the distance... Read More about Parafermionic derivation of Andrews-type multiple sums.

Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study (2005)
Journal Article
Schäfer-Nameki, S., Zamaklar, M., & Zarembo, K. (2005). Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study. Journal of High Energy Physics, 2005(09), https://doi.org/10.1088/1126-6708/2005/09/051

We analyze quantum corrections to rigid spinning strings in AdS5 × S5. The one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz. Expanding the summands of the strin... Read More about Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study.

New higher-order active contour energies for network extraction (2005)
Presentation / Conference Contribution
Rochery, M., Jermyn, I., & Zerubia, J. (2005, September). New higher-order active contour energies for network extraction. Presented at IEEE International Conference on Image Processing (ICIP), Genoa, Italy

Using the framework of higher-order active contours, we present a new quadratic continuation energy for the extraction of line networks (e.g. road, hydrographic, vascular) in the presence of occlusions. Occlusions create gaps in the data that frequen... Read More about New higher-order active contour energies for network extraction.

Texture-adaptive mother wavelet selection for texture analysis (2005)
Presentation / Conference Contribution
Abhayaratne, G., Jermyn, I., & Zerubia, J. (2005, September). Texture-adaptive mother wavelet selection for texture analysis. Presented at IEEE International Conference on Image Processing (ICIP), Genova, Italy

Classification results obtained using wavelet-based texture analysis techniques vary with the choice of mother wavelet used in the methodology. We discuss the use of mother wavelet filters as parameters in a probabilistic approach to texture analysis... Read More about Texture-adaptive mother wavelet selection for texture analysis.

Einstein gravity on an even-codimension brane (2005)
Journal Article
Charmousis, C., & Zegers, R. (2005). Einstein gravity on an even-codimension brane. Physical Review D, Particles and fields, 72(6), https://doi.org/10.1103/physrevd.72.064005

We give the equations of motion for a self-gravitating Dirac p-brane embedded in an even codimension spacetime. The dynamics of the bulk are dictated by Lovelock gravity and permit matching conditions, even when the codimension is strictly greater th... Read More about Einstein gravity on an even-codimension brane.

The Casimir effect between non-parallel plates by geometric optics (2005)
Journal Article
Guilfoyle, B., Klingenberg, W., & Sen, S. (2005). The Casimir effect between non-parallel plates by geometric optics. Reviews in Mathematical Physics, 17(8), 859 - 880. https://doi.org/10.1142/s0129055x05002431

The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in ℝ3 to describe the reflection of rays off a surface. This can be viewed as a parametric approach to geometric optics which has m... Read More about The Casimir effect between non-parallel plates by geometric optics.

Assembly models for Papovaviridae based on tiling theory (2005)
Journal Article
Keef, T., Taormina, A., & Twarock, R. (2005). Assembly models for Papovaviridae based on tiling theory. Physical Biology, 2(3), 175-188. https://doi.org/10.1088/1478-3975/2/3/005

A vital constituent of a virus is its protein shell, called the viral capsid, that encapsulates and hence provides protection for the viral genome. Assembly models are developed for viral capsids built from protein building blocks that can assume dif... Read More about Assembly models for Papovaviridae based on tiling theory.

Implicit solutions to some Lorentz invariant non-linear equations revisited (2005)
Journal Article
Fairlie, D. B. (2005). Implicit solutions to some Lorentz invariant non-linear equations revisited. Journal of Nonlinear Mathematical Physics, 12(3), 449-456. https://doi.org/10.2991/jnmp.2005.12.3.8

An implicit solution to the vanishing of the so-called Universal Field Equation, or Bordered Hessian, which dates at least as far back as 1935 \cite{chaundy} is revived, and derived from a much later form of the solution. A linear ansatz for an impli... Read More about Implicit solutions to some Lorentz invariant non-linear equations revisited.

Vertex Ring-Indexed Lie Algebras (2005)
Journal Article
Fairlie, D., & Zachos, C. (2005). Vertex Ring-Indexed Lie Algebras. Physics Letters B, 620(3-4), 195-199. https://doi.org/10.1016/j.physletb.2005.06.033

Infinite dimensional Lie algebras are introduced, which are only partially graded, and are specified by indices lying on cyclotomic rings. They may be thought of as generalisations of the Onsager algebra, but unlike it or its sl(n) generalisations, t... Read More about Vertex Ring-Indexed Lie Algebras.