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Bubbles, shocks and elementary technical trading strategies (2014)
Journal Article
Fry, J. (2014). Bubbles, shocks and elementary technical trading strategies. European Physical Journal B : Condensed Matter and Complex Systems, 87, Article 1. https://doi.org/10.1140/epjb/e2013-40587-y

In this paper we provide a unifying framework for a set of seemingly disparate models for bubbles, shocks and elementary technical trading strategies in financial markets. Markets operate by balancing intrinsic levels of risk and return. This seeming... Read More about Bubbles, shocks and elementary technical trading strategies.

The effect of cosmic magnetic fields on the metagalactic ionization background inferred from the Lyman α forest (2013)
Journal Article
Chongchitnan, S., & Meiksin, A. (2014). The effect of cosmic magnetic fields on the metagalactic ionization background inferred from the Lyman α forest. Monthly notices of the Royal Astronomical Society, 437(4), 3639-3646. https://doi.org/10.1093/mnras/stt2169

The sources which reionized the intergalactic medium by redshift ̃6 are still unknown. A severe constraint on the ionization process is the low emissivity required to maintain the ionization in the Lya forest. Simulation-calibrated observations sugge... Read More about The effect of cosmic magnetic fields on the metagalactic ionization background inferred from the Lyman α forest.

Dualizability of automatic algebras (2013)
Journal Article
Bentz, W., Davey, B., Pitkethly, J., & Willard, R. (2014). Dualizability of automatic algebras. Journal of pure and applied algebra, 218(7), 1324-1345. https://doi.org/10.1016/j.jpaa.2013.11.020

We make a start on one of George McNulty's Dozen Easy Problems: “Which finite automatic algebras are dualizable?” We give some necessary and some sufficient conditions for dualizability. For example, we prove that a finite automatic algebra is dualiz... Read More about Dualizability of automatic algebras.

On the implementation of LIR: The case of simple linear regression with interval data (2013)
Journal Article
Cattaneo, M. E., & Wiencierz, A. (2014). On the implementation of LIR: The case of simple linear regression with interval data. Computational statistics, 29(3-4), 743-767. https://doi.org/10.1007/s00180-013-0459-9

This paper considers the problem of simple linear regression with interval-censored data. That is, n pairs of intervals are observed instead of the n pairs of precise values for the two variables (dependent and independent). Each of these inter... Read More about On the implementation of LIR: The case of simple linear regression with interval data.

Supernilpotence prevents dualizability (2013)
Journal Article
Bentz, W., & Mayr, P. (2014). Supernilpotence prevents dualizability. Journal of the Australian Mathematical Society, 96(01), 1-24. https://doi.org/10.1017/S1446788713000517

We address the question of the dualizability of nilpotent Mal’cev algebras, showing that nilpotent finite Mal’cev algebras with a nonabelian supernilpotent congruence are inherently nondualizable. In particular, finite nilpotent nonabelian Mal’cev al... Read More about Supernilpotence prevents dualizability.

Vibrations of a columnar vortex in a trapped Bose-Einstein condensate (2013)
Journal Article
Koens, L., Simula, T. P., & Martin, A. M. (2013). Vibrations of a columnar vortex in a trapped Bose-Einstein condensate. Physical review. A, 87(6), Article 063614. https://doi.org/10.1103/PhysRevA.87.063614

We derive a governing equation for a Kelvin wave supported on a vortex line in a Bose-Einstein condensate, in a rotating cylindrically symmetric parabolic trap, where it is assumed that the shape of the vortex line is dominated by the properties of t... Read More about Vibrations of a columnar vortex in a trapped Bose-Einstein condensate.

Air-cushioning in impact problems (2013)
Journal Article
Moore, M. R., Ockendon, J. R., & Oliver, J. M. (2013). Air-cushioning in impact problems. IMA Journal of Applied Mathematics, 78(4), 818-838. https://doi.org/10.1093/imamat/hxt026

This paper concerns the displacement potential formulation of the post-impact influence of an air-cushioning layer on the 2D impact of a liquid half-space by a rigid body. The liquid and air are both ideal and incompressible and attention is focussed... Read More about Air-cushioning in impact problems.

Conformal field theories in six-dimensional twistor space (2012)
Journal Article
Mason, L., Reid-Edwards, R., & Taghavi-Chabert, A. (2012). Conformal field theories in six-dimensional twistor space. Journal of Geometry and Physics, 62(12), 2353-2375. https://doi.org/10.1016/j.geomphys.2012.08.001

This article gives a study of the higher-dimensional Penrose transform between conformally invariant massless fields on space–time and cohomology classes on twistor space, where twistor space is defined to be the space of projective pure spinors of t... Read More about Conformal field theories in six-dimensional twistor space.

Exogenous and endogenous crashes as phase transitions in complex financial systems (2012)
Journal Article
Fry, J. (2012). Exogenous and endogenous crashes as phase transitions in complex financial systems. European Physical Journal B : Condensed Matter and Complex Systems, 85, Article 405. https://doi.org/10.1140/epjb/e2012-30234-8

In this paper we provide a unifying framework for a set of seemingly disparate models for exogenous and endogenous shocks in complex financial systems. Markets operate by balancing intrinsic levels of risk and return. This remains true even in the mi... Read More about Exogenous and endogenous crashes as phase transitions in complex financial systems.