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Nonparametric predictive inference for system failure time based on bounds for the signature (2013)
Journal Article
Al-Nefaiee, A., & Coolen, F. (2013). Nonparametric predictive inference for system failure time based on bounds for the signature. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 227(5), 513-522. https://doi.org/10.1177/1748006x13485188

System signatures provide a powerful framework for reliability assessment for systems consisting of exchangeable components. The use of signatures in nonparametric predictive inference has been presented and leads to lower and upper survival function... Read More about Nonparametric predictive inference for system failure time based on bounds for the signature.

Rotational-vibrational coupling in the BPS Skyrme model of baryons (2013)
Journal Article
Adam, C., Naya, C., Sanchez-Guillen, J., & Wereszczynski, A. (2013). Rotational-vibrational coupling in the BPS Skyrme model of baryons. Physics Letters B, 726(4-5), 892-895. https://doi.org/10.1016/j.physletb.2013.09.045

We calculate the rotational-vibrational spectrum in the BPS Skyrme model for the hedgehog skyrmion with baryon number one. The resulting excitation energies for the nucleon and delta Roper resonances are slightly above their experimental values. Toge... Read More about Rotational-vibrational coupling in the BPS Skyrme model of baryons.

A New Statistic on the Hyperoctahedral Groups (2013)
Journal Article
Stasinski, A., & Voll, C. (2013). A New Statistic on the Hyperoctahedral Groups. Electronic Journal of Combinatorics, 20(3), Article 50

We introduce a new statistic on the hyperoctahedral groups (Coxeter groups of type B), and give a conjectural formula for its signed distributions over arbitrary descent classes. The statistic is analogous to the classical Coxeter length function, an... Read More about A New Statistic on the Hyperoctahedral Groups.

Annealed Importance Sampling Reversible Jump MCMC Algorithms (2013)
Journal Article
Karagiannis, G., & Andrieu, C. (2013). Annealed Importance Sampling Reversible Jump MCMC Algorithms. Journal of Computational and Graphical Statistics, 22(3), 623-648. https://doi.org/10.1080/10618600.2013.805651

We develop a methodology to efficiently implement the reversible jump Markov chain Monte Carlo (RJ-MCMC) algorithms of Green, applicable for example to model selection inference in a Bayesian framework, which builds on the “dragging fast variables” i... Read More about Annealed Importance Sampling Reversible Jump MCMC Algorithms.

A Skyrme-like model with an exact BPS bound (2013)
Journal Article
Ferreira, L., & Zakrzewski, W. (2013). A Skyrme-like model with an exact BPS bound. Journal of High Energy Physics, 2013(9), Article 097. https://doi.org/10.1007/jhep09%282013%29097

We propose a new Skyrme-like model with fields taking values on the sphere S3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that of the Skyrme-Faddeev model. T... Read More about A Skyrme-like model with an exact BPS bound.

A strongly-coupled zig-zag transition (2013)
Journal Article
Balasubramanian, V., Berkooz, M., Ross, S. F., & Simon, J. (2013). A strongly-coupled zig-zag transition. Journal of High Energy Physics, 2013(9), Article 66. https://doi.org/10.1007/jhep09%282013%29066

The zig-zag symmetry transition is a phase transition in 1D quantum wires, in which a Wigner lattice of electrons transitions to two staggered lattices. Previous studies model this transition as a Luttinger liquid coupled to a Majorana fermion. The m... Read More about A strongly-coupled zig-zag transition.

Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams (2013)
Journal Article
Williams, B., Kingham, R., & Bissell, J. (2013). Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams. Plasma Physics and Controlled Fusion, 55(9), https://doi.org/10.1088/0741-3335/55/9/095005

Relativistic electron beam propagation through solid density plasma is a rich area for magnetic field dynamics. It is well known that Ohmic heating of the background plasma caused by the beam significantly affects magnetic field generation, primarily... Read More about Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams.

Affine extensions of non-crystallographic Coxeter groups induced by projection (2013)
Journal Article
Dechant, P., Boehm, C., & Twarock, R. (2013). Affine extensions of non-crystallographic Coxeter groups induced by projection. Journal of Mathematical Physics, 54(9), Article 093508. https://doi.org/10.1063/1.4820441

In this paper, we show that affine extensions of non-crystallographic Coxeter groups can be derived via Coxeter-Dynkin diagram foldings and projections of affine extended versions of the root systems E 8, D 6, and A 4. We show that the induced affine... Read More about Affine extensions of non-crystallographic Coxeter groups induced by projection.

Parametrizing dark sector perturbations via equations of state (2013)
Journal Article
Battye, R. A., & Pearson, J. A. (2013). Parametrizing dark sector perturbations via equations of state. Physical Review D, 88(6), Article 061301. https://doi.org/10.1103/physrevd.88.061301

The evolution of perturbations is a crucial part of the phenomenology of the dark sector cosmology. We advocate parametrizing these perturbations using equations of state for the entropy perturbation and the anisotropic stress. For small perturbation... Read More about Parametrizing dark sector perturbations via equations of state.

Leading singularities and off-shell conformal integrals (2013)
Journal Article
Drummond, J., Duhr, C., Eden, B., Heslop, P., Pennington, J., & Smirnov, V. A. (2013). Leading singularities and off-shell conformal integrals. Journal of High Energy Physics, 2013(8), Article 133. https://doi.org/10.1007/jhep08%282013%29133

The three-loop four-point function of stress-tensor multiplets in N = 4 super Yang-Mills theory contains two so far unknown, off-shell, conformal integrals, in addition to the known, ladder-type integrals. In this paper we evaluate the unknown integr... Read More about Leading singularities and off-shell conformal integrals.

The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24 (2013)
Journal Article
Taormina, A., & Wendland, K. (2013). The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24. Journal of High Energy Physics, 2013(08), Article 125. https://doi.org/10.1007/jhep08%282013%29125

In view of a potential interpretation of the role of the Mathieu group M24 in the context of strings compactied on K3 surfaces, we develop techniques to combine groups of symmetries from dierent K3 surfaces to larger `overarching' symmetry groups. We... Read More about The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24.

Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation (2013)
Journal Article
Maucher, F., Siminos, E., Krolikowski, W., & Skupin, S. (2013). Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation. New Journal of Physics, 15(8), Article 083055. https://doi.org/10.1088/1367-2630/15/8/083055

Quasiperiodic oscillations and shape-transformations of higher-order bright solitons in nonlinear nonlocal media have been frequently observed numerically in recent years, however, the origin of these phenomena was never completely elucidated. In thi... Read More about Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation.

Holographic entanglement plateaux (2013)
Journal Article
Hubeny, V. E., Maxfield, H., Rangamani, M., & Tonni, E. (2013). Holographic entanglement plateaux. Journal of High Energy Physics, 2013(8), https://doi.org/10.1007/jhep08%282013%29092

We consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the thermal entropy can be recovered from the knowledge of the region... Read More about Holographic entanglement plateaux.

On singular foliations on the solid torus (2013)
Journal Article
Arraut, J., Martins, L., & Schuetz, D. (2013). On singular foliations on the solid torus. Topology and its Applications, 160(13), 1659-1674. https://doi.org/10.1016/j.topol.2013.06.012

We study smooth foliations on the solid torus S1×D2S1×D2 having S1×{0}S1×{0} and S1×∂D2S1×∂D2 as the only compact leaves and S1×{0}S1×{0} as singular set. We show that all other leaves can only be cylinders or planes, and give necessary conditions fo... Read More about On singular foliations on the solid torus.

Some aspects of self-duality and generalised BPS theories (2013)
Journal Article
Adam, C., Ferreira, L., da Hora, E., Wereszczynski, A., & Zakrzewski, W. (2013). Some aspects of self-duality and generalised BPS theories. Journal of High Energy Physics, 2013(8), Article 62. https://doi.org/10.1007/jhep08%282013%29062

If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related BPS equatio... Read More about Some aspects of self-duality and generalised BPS theories.

Some asymptotics for localized principal components and curves (2013)
Journal Article
Einbeck, J., & Zayed, M. (2014). Some asymptotics for localized principal components and curves. Communications in Statistics - Theory and Methods, 43(8), 1736-1749. https://doi.org/10.1080/03610926.2012.673676

The asymptotic behavior of localized principal components applying kernels as weights is investigated. In particular, we show that the first-order approximation of the first localized principal component at any given point only depends on the bandwid... Read More about Some asymptotics for localized principal components and curves.