Outputs (207)

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.