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Higgs bundles for M-theory on G2-manifolds (2019)
Journal Article
Braun, A. P., Cizel, S., Hübner, M., & Schäfer-Nameki, S. (2019). Higgs bundles for M-theory on G2-manifolds. Journal of High Energy Physics, 2019(3), Article 199. https://doi.org/10.1007/jhep03%282019%29199

M-theory compactified on G2-holonomy manifolds results in 4d N = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a partially twisted 7... Read More about Higgs bundles for M-theory on G2-manifolds.

A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase (2019)
Journal Article
Chhita, S., & Toninelli, F. L. (2019). A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase. Communications in Mathematical Physics, 367(2), 483-516. https://doi.org/10.1007/s00220-019-03402-x

Stochastic growth processes in dimension (2+1) were conjectured by D. Wolf, on the basis of renormalization-group arguments, to fall into two distinct universality classes, according to whether the Hessian Hρ of the speed of growth v(ρ) as a function... Read More about A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase.

Critical Liouville measure as a limit of subcritical measures (2019)
Journal Article
Aru, J., Powell, E., & Sepúlveda, A. (2019). Critical Liouville measure as a limit of subcritical measures. Electronic Communications in Probability, 24, 1-16. https://doi.org/10.1214/19-ecp209

We study how the Gaussian multiplicative chaos (GMC) measures μγ corresponding to the 2D Gaussian free field change when γ approaches the critical parameter 2. In particular, we show that as γ→2−, (2−γ)−1μγ converges in probability to 2μ′, where μ′ i... Read More about Critical Liouville measure as a limit of subcritical measures.

Counting associatives in compact $G_2$ orbifolds (2019)
Journal Article
Acharya, B. S., Braun, A. P., Svanes, E. E., & Valandro, R. (2019). Counting associatives in compact $G_2$ orbifolds. Journal of High Energy Physics, 03, Article 138. https://doi.org/10.1007/jhep03%282019%29138

We describe a class of compact G2 orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential o... Read More about Counting associatives in compact $G_2$ orbifolds.

Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature (2019)
Journal Article
Liu, S., Münch, F., Peyerimhoff, N., & Rose, C. (2019). Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature. Analysis and Geometry in Metric Spaces, 7(1), 1-14. https://doi.org/10.1515/agms-2019-0001

We prove distance bounds for graphs possessing positive Bakry-Émery curvature apart from an exceptional set, where the curvature is allowed to be non-positive. If the set of non-positively curved vertices is finite, then the graph admits an explicit... Read More about Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature.

Interpreting magnetic helicity flux in solar flux emergence (2019)
Journal Article
Prior, C., & MacTaggart, D. (2019). Interpreting magnetic helicity flux in solar flux emergence. Journal of Plasma Physics, 85(2), Article 775850201. https://doi.org/10.1017/s0022377819000229

Magnetic helicity flux gives information about the topology of a magnetic field passing through a boundary. In solar physics applications, this boundary is the photosphere and magnetic helicity flux has become an important quantity in analysing magne... Read More about Interpreting magnetic helicity flux in solar flux emergence.

Nonparametric predictive comparison of two diagnostic tests based on total numbers of correctly diagnosed individuals (2019)
Journal Article
Alabdulhadi, M., Coolen, F., & Coolen-Maturi, T. (2019). Nonparametric predictive comparison of two diagnostic tests based on total numbers of correctly diagnosed individuals. Journal of statistical theory and practice, 13, Article 38. https://doi.org/10.1007/s42519-019-0039-6

In clinical applications, it is important to compare and study the ability of diagnostic tests to discriminate between individuals with and without the disease. In this paper, comparison of two diagnostic tests is presented and discussed using nonpar... Read More about Nonparametric predictive comparison of two diagnostic tests based on total numbers of correctly diagnosed individuals.

Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT (2019)
Journal Article
Maloney, A., Ng, G. S., Ross, S. F., & Tsiares, I. (2019). Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT. Journal of High Energy Physics, 2019(3), Article 75. https://doi.org/10.1007/jhep03%282019%29075

Two-dimensional CFTs have an infinite set of commuting conserved charges, known as the quantum KdV charges. We study the Generalized Gibbs Ensemble with chemical potentials for these charges at high temperature. In a large central charge limit, the p... Read More about Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT.

On generalized Thue-Morse functions and their values (2019)
Journal Article
Badziahin, D., & Zorin, E. (2020). On generalized Thue-Morse functions and their values. Journal of the Australian Mathematical Society, 108(2), 177-201. https://doi.org/10.1017/s1446788718000459

In this paper we extend and generalize, up to a natural bound of the method, our previous work Badziahin and Zorin [‘Thue–Morse constant is not badly approximable’, Int. Math. Res. Not. IMRN 19 (2015), 9618–9637] where we proved, among other things,... Read More about On generalized Thue-Morse functions and their values.