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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.

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.

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.

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.

Matching conditions for a brane of arbitrary codimension (2005)
Journal Article
Charmousis, C., & Zegers, R. (2005). Matching conditions for a brane of arbitrary codimension. Journal of High Energy Physics, 2005(08), https://doi.org/10.1088/1126-6708/2005/08/075

We present matching conditions for distributional sources of arbitrary codimension in the context of Lovelock gravity. Then we give examples, treating maximally symmetric distributional p-branes, embedded in flat, de Sitter and anti-de Sitter spaceti... Read More about Matching conditions for a brane of arbitrary codimension.

Some aspects of jump-defects in the quantum sine-Gordon model (2005)
Journal Article
Bowcock, P., Corrigan, E., & Zambon, C. (2005). Some aspects of jump-defects in the quantum sine-Gordon model. Journal of High Energy Physics, 2005(08), Article 023. https://doi.org/10.1088/1126-6708/2005/08/023

The classical sine-Gordon model permits integrable discontinuities, or jump-defects, where the conditions relating the fields on either side of a defect are Bäcklund transformations frozen at the defect location. The purpose of this article is to exp... Read More about Some aspects of jump-defects in the quantum sine-Gordon model.

Sobolev and Gevrey regularity results for the primitive equations in three space dimensions (2005)
Journal Article
Petcu, M., & Wirosoetisno, D. (2005). Sobolev and Gevrey regularity results for the primitive equations in three space dimensions. Applicable Analysis, 84(8), 769-788. https://doi.org/10.1080/00036810500130745

The aim of this article is to present a qualitative study of the Primitive Equations in a three-dimensional domain, with periodical boundary conditions. We start by recalling some already existing results regarding the existence locally in time of we... Read More about Sobolev and Gevrey regularity results for the primitive equations in three space dimensions.

n-Monotone lower previsions and lower integrals (2005)
Presentation / Conference Contribution
De Cooman, G., Troffaes, M. C., & Miranda, E. (2005). n-Monotone lower previsions and lower integrals. In F. G. Cozman, R. Nau, & T. Seidenfeld (Eds.),

Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes (2005)
Journal Article
Vernon, I. R., & Jennings, D. (2005). Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes. Journal of Cosmology and Astroparticle Physics, 07, https://doi.org/10.1088/1475-7516/2005/07/011

The equations for the evolution of a homogeneous brane world that emits gravitons at early times, and into a non-Z_2 symmetric bulk, are derived using an AdS-Vaidya spacetime approximation. The behaviour of the black hole mass parameters either side... Read More about Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes.

Birkhoff's theorem in Lovelock gravity (2005)
Journal Article
Zegers, R. (2005). Birkhoff's theorem in Lovelock gravity. Journal of Mathematical Physics, 46(7), Article 072502. https://doi.org/10.1063/1.1960798

We show that the generic solutions of the Lovelock equations with spherical, planar or hyperbolic symmetry are locally isometric to the corresponding static Lovelock black hole. As a consequence, these solutions are locally static: they admit an addi... Read More about Birkhoff's theorem in Lovelock gravity.

Causal structures and holography (2005)
Journal Article
Hubeny, V. E., Rangamani, M., & Ross, S. F. (2005). Causal structures and holography. Journal of High Energy Physics, 2005(07), Article 037. https://doi.org/10.1088/1126-6708/2005/07/037

We explore the description of bulk causal structure in a dual field theory. We observe that in the spacetime dual to a spacelike non-commutative field theory, the causal structure in the boundary directions is modified asymptotically. We propose that... Read More about Causal structures and holography.

Model free endurance markers based on the second derivative of blood lactate curves (2005)
Presentation / Conference Contribution
Newell, J., Einbeck, J., Madden, N., & McMillan, K. (2005). Model free endurance markers based on the second derivative of blood lactate curves. In A. R. Francis, K. M. Matawie, A. Oshlack, & G. K. Smyth (Eds.), Statistical solutions to modern problems ; proceedings of the 20th International Workshop on Statistical Modelling. Sydney, Australia, July 10-15, 2005 (357-364)

Blood lactate assessment is used regularly by exercise physiologists as a predictor of endurance performance. Typically fingertip blood samples are collected at selected running speeds on a treadmill and a plot of lactate concentration against worklo... Read More about Model free endurance markers based on the second derivative of blood lactate curves.

Entropy geometry and disjointness for zero-dimensional algebraic actions (2005)
Journal Article
Einsiedler, M., & Ward, T. (2005). Entropy geometry and disjointness for zero-dimensional algebraic actions. Journal für die reine und angewandte Mathematik, 584, 195-214. https://doi.org/10.1515/crll.2005.2005.584.195

We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula... Read More about Entropy geometry and disjointness for zero-dimensional algebraic actions.

Diffractive Processes at the LHC (2005)
Presentation / Conference Contribution
Ryskin, M., Martin, A., & Khoze, V. (2005). Diffractive Processes at the LHC. In V. . N. Gribov, Y. Dokshitzer, P. Lévai, & J. Nyiri (Eds.), Gribov memorial volume: quarks, hadrons, and strong interactions: Proceedings of the Memorial Workshop devoted to the 75th birthday of V.N. Gribov, Budapest, Hungary, 22-24 May 2005 (115-124). https://doi.org/10.1142/9789812773784_0013

We consider diffractive processes which can be measured at the LHC. Analysis of diffractive events will give unique information about the high energy asymptotics of the hadron scattering. In semihard diffraction one may study the partonic structure o... Read More about Diffractive Processes at the LHC.

Dynamic Programming for Deterministic Discrete-Time Systems with Uncertain Gain (2005)
Journal Article
De Cooman, G., & Troffaes, M. C. (2005). Dynamic Programming for Deterministic Discrete-Time Systems with Uncertain Gain. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 39(2-3), 257-278. https://doi.org/10.1016/j.ijar.2004.10.004

We generalise the optimisation technique of dynamic programming for discrete-time systems with an uncertain gain function. We assume that uncertainty about the gain function is described by an imprecise probability model, which generalises the well-k... Read More about Dynamic Programming for Deterministic Discrete-Time Systems with Uncertain Gain.

Nonsupersymmetric smooth geometries and D1-D5-P bound states (2005)
Journal Article
Jejjala, V., Madden, O., Ross, S., & Titchener, G. (2005). Nonsupersymmetric smooth geometries and D1-D5-P bound states. Physical Review D, Particles and fields, 71(12), https://doi.org/10.1103/physrevd.71.124030

We construct smooth nonsupersymmetric soliton solutions with D1-brane, D5-brane, and momentum charges in type IIB supergravity compactified on T4×S1, with the charges along the compact directions. This generalizes previous studies of smooth supersymm... Read More about Nonsupersymmetric smooth geometries and D1-D5-P bound states.

String-corrected black holes (2005)
Journal Article
Hubeny, V., Maloney, A., & Rangamani, M. (2005). String-corrected black holes. Journal of High Energy Physics, 2005(05), https://doi.org/10.1088/1126-6708/2005/05/035

We investigate the geometry of four dimensional black hole solutions in the presence of stringy higher curvature corrections to the low energy effective action. For certain supersymmetric two charge black holes these corrections drastically alter the... Read More about String-corrected black holes.