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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.

Multiwavelength Study of Equatorial Coronal-hole Jets (2019)
Journal Article
Kumar, P., Karpen, J. T., Antiochos, S. K., Wyper, P. F., DeVore, C. R., & DeForest, C. E. (2019). Multiwavelength Study of Equatorial Coronal-hole Jets. Astrophysical Journal, 873(1), Article 93. https://doi.org/10.3847/1538-4357/ab04af

Jets (transient/collimated plasma ejections) occur frequently throughout the solar corona and contribute mass/energy to the corona and solar wind. By combining numerical simulations and high-resolution observations, we have made substantial progress... Read More about Multiwavelength Study of Equatorial Coronal-hole Jets.

Dual renormalization group flows in 4D (2019)
Journal Article
Abel, S., Bajc, B., & Sannino, F. (2019). Dual renormalization group flows in 4D. Physical Review D, 99(6), Article 065001. https://doi.org/10.1103/physrevd.99.065001

We present a prescription for using the a central charge to determine the flow of a strongly coupled supersymmetric theory from its weakly coupled dual. The approach is based on the equivalence of the scale-dependent a parameter derived from the four... Read More about Dual renormalization group flows in 4D.

Geometry of mutation classes of rank 3 quivers (2019)
Journal Article
Felikson, A., & Tumarkin, P. (2019). Geometry of mutation classes of rank 3 quivers. Arnold Mathematical Journal, 5(1), 37-55. https://doi.org/10.1007/s40598-019-00101-2

We present a geometric realization for all mutation classes of quivers of rank 3 with real weights. This realization is via linear reflection groups for acyclic mutation classes and via groups generated by π-rotations for the cyclic ones. The geometr... Read More about Geometry of mutation classes of rank 3 quivers.