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Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B (2014)
Journal Article
Stasinski, A., & Voll, C. (2014). Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B. American Journal of Mathematics, 136(2), 501-550. https://doi.org/10.1353/ajm.2014.0010

We study representation zeta functions of finitely generated, torsion-free nilpotent groups which are groups of rational points of unipotent group schemes over rings of integers of number fields. Using the Kirillov orbit method and $\frak{p}$-adic in... Read More about Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B.

Implications of conformal invariance in momentum space (2014)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2014). Implications of conformal invariance in momentum space. Journal of High Energy Physics, 2014(03), Article 111. https://doi.org/10.1007/jhep03%282014%29111

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space. Our starting point is a novel and v... Read More about Implications of conformal invariance in momentum space.

Classification with support vector machines and Kolmogorov-Smirnov bounds (2014)
Journal Article
Utkin, L., & Coolen, F. (2014). Classification with support vector machines and Kolmogorov-Smirnov bounds. Journal of statistical theory and practice, 8(2), 297-318. https://doi.org/10.1080/15598608.2013.788985

This article presents a new statistical inference method for classification. Instead of minimizing a loss function that solely takes residuals into account, it uses the Kolmogorov–Smirnov bounds for the cumulative distribution function of the residua... Read More about Classification with support vector machines and Kolmogorov-Smirnov bounds.

Holographic thermal field theory on curved spacetimes (2014)
Journal Article
Marolf, D., Rangamani, M., & Wiseman, T. (2014). Holographic thermal field theory on curved spacetimes. Classical and Quantum Gravity, 31(6), Article 063001. https://doi.org/10.1088/0264-9381/31/6/063001

The AdS/CFT correspondence relates certain strongly-coupled CFTs with large effective central charge ceff to semi-classical gravitational theories with AdS asymptotics. We describe recent progress in understanding gravity duals for CFTs on non-trivia... Read More about Holographic thermal field theory on curved spacetimes.

Holographic probes of collapsing black holes (2014)
Journal Article
Hubeny, V. E., & Maxfield, H. (2014). Holographic probes of collapsing black holes. Journal of High Energy Physics, 2014(3), Article 97. https://doi.org/10.1007/jhep03%282014%29097

We continue the programme of exploring the means of holographically decoding the geometry of spacetime inside a black hole using the gauge/gravity correspondence. To this end, we study the behaviour of certain extremal surfaces (focusing on those rel... Read More about Holographic probes of collapsing black holes.

2–strand twisting and knots with identical quantum knot homologies (2014)
Journal Article
Lobb, A. (2014). 2–strand twisting and knots with identical quantum knot homologies. Geometry & Topology, 18(2), 873-895. https://doi.org/10.2140/gt.2014.18.873

Given a knot, we ask how its Khovanov and Khovanov–Rozansky homologies change under the operation of introducing twists in a pair of strands. We obtain long exact sequences in homology and further algebraic structure which is then used to derive topo... Read More about 2–strand twisting and knots with identical quantum knot homologies.

On the use of marginal posteriors in marginal likelihood estimation via importance sampling (2014)
Journal Article
Perrakis, K., Ntzoufras, I., & Tsionas, E. G. (2014). On the use of marginal posteriors in marginal likelihood estimation via importance sampling. Computational Statistics & Data Analysis, 77, 54-69. https://doi.org/10.1016/j.csda.2014.03.004

The efficiency of a marginal likelihood estimator where the product of the marginal posterior distributions is used as an importance sampling function is investigated. The approach is generally applicable to multi-block parameter vector settings, doe... Read More about On the use of marginal posteriors in marginal likelihood estimation via importance sampling.

Non-abelian self-dual strings in six dimensions from four dimensional 1/2-BPS monopoles (2014)
Journal Article
Chu, C. (2014). Non-abelian self-dual strings in six dimensions from four dimensional 1/2-BPS monopoles. Nuclear Physics B, 882, 289-302. https://doi.org/10.1016/j.nuclphysb.2014.03.006

We explain a new construction of self-dual string solutions to the non-abelian two-form self-duality equation proposed in [1]. This class of self-dual strings is determined by the BPS monopoles in four-dimensions and the self-dual string charge is gi... Read More about Non-abelian self-dual strings in six dimensions from four dimensional 1/2-BPS monopoles.

A low-dimensional analogue of holographic baryons (2014)
Journal Article
Bolognesi, S., & Sutcliffe, P. (2014). A low-dimensional analogue of holographic baryons. Journal of Physics A: Mathematical and Theoretical, 47(13), https://doi.org/10.1088/1751-8113/47/13/135401

Baryons in holographic QCD correspond to topological solitons in the bulk. The most prominent example is the Sakai–Sugimoto model, where the bulk soliton in the five-dimensional spacetime of AdS-type can be approximated by the flat space self-dual Ya... Read More about A low-dimensional analogue of holographic baryons.

Clustering and decomposition for non-BPS solutions of the CPN−1 models (2014)
Journal Article
Bolognesi, S., & Zakrzewski, W. (2014). Clustering and decomposition for non-BPS solutions of the CPN−1 models. Physical Review D, 89(6), Article 065013. https://doi.org/10.1103/physrevd.89.065013

We look at solutions [both Bogomol’nyi-Prasad-Sommerfield (BPS) and non-BPS] of the CPN−1 model on R×S1 (with twisted boundary conditions), in particular by using a conformal mapping technique, and we show how to interpret these solutions by decompos... Read More about Clustering and decomposition for non-BPS solutions of the CPN−1 models.

Conformal field theories in d=4 with a helical twist (2014)
Journal Article
Donos, A., Gauntlett, J., & Pantelidou, C. (2014). Conformal field theories in d=4 with a helical twist. Physical Review D, 91(6), Article 066003. https://doi.org/10.1103/physrevd.91.066003

Within the context of holography we study the general class of d=4 conformal field theories (CFTs) after applying a universal helical deformation. At finite temperature we construct the associated black hole solutions of Einstein gravity, numerically... Read More about Conformal field theories in d=4 with a helical twist.

Explosion, implosion, and moments of passage times for continuous-time Markov chains: A semimartingale approach (2014)
Journal Article
Menshikov, M., & Petritis, D. (2014). Explosion, implosion, and moments of passage times for continuous-time Markov chains: A semimartingale approach. Stochastic Processes and their Applications, 124(7), 2388-2414. https://doi.org/10.1016/j.spa.2014.03.001

We establish general theorems quantifying the notion of recurrence–through an estimation of the moments of passage times–for irreducible continuous-time Markov chains on countably infinite state spaces. Sharp conditions of occurrence of the phenomeno... Read More about Explosion, implosion, and moments of passage times for continuous-time Markov chains: A semimartingale approach.

Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods (2014)
Journal Article
Prior, C. (2014). Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods. Journal of Elasticity, 117(2), 231-277. https://doi.org/10.1007/s10659-014-9472-7

We consider a geometrically accurate model for a helically wound rope constructed from two intertwined elastic rods. The line of contact has an arbitrary smooth shape which is obtained under the action of an arbitrary set of applied forces and moment... Read More about Helical Birods: An Elastic Model of Helically Wound Double-Stranded Rods.

Effective actions for anomalous hydrodynamics (2014)
Journal Article
Haehl, F. M., Loganayagam, R., & Rangamani, M. (2014). Effective actions for anomalous hydrodynamics. Journal of High Energy Physics, 2014(3), Article 034. https://doi.org/10.1007/jhep03%282014%29034

We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies for an arbi... Read More about Effective actions for anomalous hydrodynamics.

Badly approximable points on planar curves and a problem of Davenport (2014)
Journal Article
Badziahin, D., & Velani, S. (2014). Badly approximable points on planar curves and a problem of Davenport. Mathematische Annalen, 359(3-4), 969-1023. https://doi.org/10.1007/s00208-014-1020-z

Let C be two times continuously differentiable curve in R2 with at least one point at which the curvature is non-zero. For any i,j⩾0 with i+j=1, let Bad(i,j) denote the set of points (x,y)∈R2 for which max{∥qx∥1/i,∥qy∥1/j}>c/q for all q∈N. Here c=c(x... Read More about Badly approximable points on planar curves and a problem of Davenport.

Viruses and fullerenes - symmetry as a common thread? (2014)
Journal Article
Dechant, P., Wardman, J., Keef, T., & Twarock, R. (2014). Viruses and fullerenes - symmetry as a common thread?. Acta Crystallographica Section A: Foundations and Advances, 70(2), 162-167. https://doi.org/10.1107/s2053273313034220

The principle of affine symmetry is applied here to the nested fullerene cages (carbon onions) that arise in the context of carbon chemistry. Previous work on affine extensions of the icosahedral group has revealed a new organizational principle in v... Read More about Viruses and fullerenes - symmetry as a common thread?.

A Clifford algebraic framework for Coxeter group theoretic computations (2014)
Journal Article
Dechant, P. (2014). A Clifford algebraic framework for Coxeter group theoretic computations. Advances in Applied Clifford Algebras, 24(1), 89-108. https://doi.org/10.1007/s00006-013-0422-4

Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quasicrystals have recently been modeled successfully in terms of three-dimensional (affine) Coxeter groups. Motivated by this progress, we explore here t... Read More about A Clifford algebraic framework for Coxeter group theoretic computations.

Classification with decision trees from a nonparametric predictive inference perspective (2014)
Journal Article
Abellán, J., Baker, R., Coolen, F., Crossman, R., & Masegosa, A. (2014). Classification with decision trees from a nonparametric predictive inference perspective. Computational Statistics & Data Analysis, 71, 789-802. https://doi.org/10.1016/j.csda.2013.02.009

An application of nonparametric predictive inference for multinomial data (NPI) to classification tasks is presented. This model is applied to an established procedure for building classification trees using imprecise probabilities and uncertainty me... Read More about Classification with decision trees from a nonparametric predictive inference perspective.

Scattering amplitudes of massive N=2 gauge theories in three dimensions. (2014)
Journal Article
Agarwal, A., Lipstein, A. E., & Young, D. (2014). Scattering amplitudes of massive N=2 gauge theories in three dimensions. Physical Review D, 89(4), Article 045020. https://doi.org/10.1103/physrevd.89.045020

We study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In particular, we derive the on-shell supersymmetry algebras which underlie the scattering matr... Read More about Scattering amplitudes of massive N=2 gauge theories in three dimensions..