Outputs (199)

Non-arithmetic monodromy of higher hypergeometric functions (2020)
Journal Article
Parker, J. R. (2020). Non-arithmetic monodromy of higher hypergeometric functions. Journal d'Analyse Mathématique, 142, 41-70. https://doi.org/10.1007/s11854-020-0132-5

We show that all the currently known non-arithmetic lattices in PU(2, 1) are monodromy groups of higher hypergeometric functions.

Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space (2020)
Journal Article
Ballesteros-Chávez, D., Klingenberg, W., & Lambert, B. (2021). Prescribed $k$ symmetric curvature hypersurfaces in de Sitter space. Canadian Mathematical Bulletin, 64(4), 886-901. https://doi.org/10.4153/s0008439520000910

We prove the existence of compact spacelike hypersurfaces with prescribed k-curvature in de Sitter space, where the prescription function depends on both space and the tilt function.

A graphical tool for assessing the suitability of a count regression model (2020)
Journal Article
Wilson, P., & Einbeck, J. (2021). A graphical tool for assessing the suitability of a count regression model. Austrian Journal of Statistics, 50(1), 1-23. https://doi.org/10.17713/ajs.v50i1.921

Whilst many numeric methods, such as AIC and deviance, exist for assessing or comparing model fit, diagrammatic methods are few. We present here a diagnostic plot, which we refer to as a `Quantile Band plot', that may be used to visually assess the s... Read More about A graphical tool for assessing the suitability of a count regression model.

Yang-Baxter deformations of the principal chiral model plus Wess-Zumino term (2020)
Journal Article
Hoare, B., & Lacroix, S. (2020). Yang-Baxter deformations of the principal chiral model plus Wess-Zumino term. Journal of Physics A: Mathematical and Theoretical, 53(50), Article 505401. https://doi.org/10.1088/1751-8121/abc43d

A large class of integrable deformations of the principal chiral model, known as the Yang–Baxter deformations, are governed by skew-symmetric R-matrices solving the (modified) classical Yang–Baxter equation. We carry out a systematic investigation of... Read More about Yang-Baxter deformations of the principal chiral model plus Wess-Zumino term.

On the Rankin-Selberg method for vector valued Siegel modular forms (2020)
Journal Article
Bouganis, A., & Mercuri, S. (2021). On the Rankin-Selberg method for vector valued Siegel modular forms. International Journal of Number Theory, 17(5), 1207-1242. https://doi.org/10.1142/s1793042121500330

In this work we use the Rankin-Selberg method to obtain results on the analytic properties of the standard L-function attached to vector valued Siegel modular forms. In particular we provide a detailed description of its possible poles and obtain a n... Read More about On the Rankin-Selberg method for vector valued Siegel modular forms.

The joint survival signature of coherent systems with shared components (2020)
Journal Article
Coolen-Maturi, T., Coolen, F. P., & Balakrishnan, N. (2021). The joint survival signature of coherent systems with shared components. Reliability Engineering & System Safety, 207, Article 107350. https://doi.org/10.1016/j.ress.2020.107350

The concept of joint bivariate signature, introduced by Navarro et al. [13], is a useful tool for quantifying the reliability of two systems with shared components. As with the univariate system signature, introduced by Samaniego [17], its applicatio... Read More about The joint survival signature of coherent systems with shared components.

Infinite-Parameter ADHM Transform (2020)
Journal Article
Ward, R. (2021). Infinite-Parameter ADHM Transform. The Quarterly Journal of Mathematics, 72(1-2), 407-415. https://doi.org/10.1093/qmath/haaa054

The Atiyah–Drinfeld–Hitchin–Manin transform and its various generalizations are examples of nonlinear integral transforms between finite-dimensional moduli spaces. This note describes a natural infinite-dimensional generalization, where the transform... Read More about Infinite-Parameter ADHM Transform.

Semi-Free Actions with Manifold Orbit Spaces (2020)
Journal Article
Harvey, J., Kerin, M., & Shankar, K. (2020). Semi-Free Actions with Manifold Orbit Spaces. Documenta Mathematica, 25, 2085-2114. https://doi.org/10.25537/dm.2020v25.2085-2114

In this paper, we study smooth, semi-free actions on closed, smooth, simply connected manifolds, such that the orbit space is a smoothable manifold. We show that the only simply connected 5-manifolds admitting a smooth, semi-free circle action with f... Read More about Semi-Free Actions with Manifold Orbit Spaces.

Single Particle Operators and their Correlators in Free N=4 SYM (2020)
Journal Article
Aprile, F., Drummond, J., Heslop, P., Paul, H., Sanfilippo, F., Santagata, M., & Stewart, A. (2020). Single Particle Operators and their Correlators in Free N=4 SYM. Journal of High Energy Physics, 2020(11), Article 72. https://doi.org/10.1007/jhep11%282020%29072

We consider a set of half-BPS operators in N = 4 super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS5 × S5. These single-particle operators are defined to have vanishing two-point functions... Read More about Single Particle Operators and their Correlators in Free N=4 SYM.

Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces (2020)
Journal Article
Guilfoyle, B., & Klingenberg, W. (2020). Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces. Annales de la Faculté des sciences de Toulouse (En ligne), 29(3), 565-576. https://doi.org/10.5802/afst.1639

We study the space of holomorphic discs with boundary on a surface in a real 2-dimensional vector bundle over a compact 2-manifold. We prove that, if the ambient 4-manifold admits a fibre-preserving transitive holomorphic action, then a section with... Read More about Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces.