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Dynamic topology and flux rope evolution during non-linear tearing of 3D null point current sheets (2014)
Journal Article
Wyper, P., & Pontin, D. (2014). Dynamic topology and flux rope evolution during non-linear tearing of 3D null point current sheets. Physics of Plasmas, 21(10), Article 102102. https://doi.org/10.1063/1.4896060

In this work, the dynamic magnetic field within a tearing-unstable three-dimensional current sheet about a magnetic null point is described in detail. We focus on the evolution of the magnetic null points and flux ropes that are formed during the tea... Read More about Dynamic topology and flux rope evolution during non-linear tearing of 3D null point current sheets.

Shocks and acceleration waves in modern continuum mechanics and in social systems (2014)
Journal Article
Straughan, B. (2014). Shocks and acceleration waves in modern continuum mechanics and in social systems. Evolution Equations and Control Theory, 3(3), 541-555. https://doi.org/10.3934/eect.2014.3.541

The use of discontinuity surface propagation (e.g. shock waves and acceleration waves) is well known in modern continuum mechanics and yields a very useful means to obtain important information about a fully nonlinear theory with no approximation wha... Read More about Shocks and acceleration waves in modern continuum mechanics and in social systems.

Coulomb branch Hilbert series and Hall-Littlewood polynomials (2014)
Journal Article
Cremonesi, S., Hanany, A., Mekareeya, N., & Zaffaroni, A. (2014). Coulomb branch Hilbert series and Hall-Littlewood polynomials. Journal of High Energy Physics, 2014(09), Article 178. https://doi.org/10.1007/jhep09%282014%29178

There has been a recent progress in understanding the chiral ring of 3d NN = 4 superconformal gauge theories by explicitly constructing an exact generating function (Hilbert series) counting BPS operators on the Coulomb branch. In this paper we intro... Read More about Coulomb branch Hilbert series and Hall-Littlewood polynomials.

Coulomb branch Hilbert series and three dimensional Sicilian theories (2014)
Journal Article
Cremonesi, S., Hanany, A., Mekareeya, N., & Zaffaroni, A. (2014). Coulomb branch Hilbert series and three dimensional Sicilian theories. Journal of High Energy Physics, 2014(09), Article 185. https://doi.org/10.1007/jhep09%282014%29185

We evaluate the Coulomb branch Hilbert series of mirrors of three dimensional Sicilian theories, which arise from compactifying the 6d (2, 0) theory with symmetry G on a circle times a Riemann surface with punctures. We obtain our result by gluing to... Read More about Coulomb branch Hilbert series and three dimensional Sicilian theories.

Covariant Residual Entropy (2014)
Journal Article
Hubeny, V. E. (2014). Covariant Residual Entropy. Journal of High Energy Physics, 2014(9), Article 156. https://doi.org/10.1007/jhep09%282014%29156

A recently explored interesting quantity in AdS/CFT, dubbed ‘residual entropy’, characterizes the amount of collective ignorance associated with either boundary observers restricted to finite time duration, or bulk observers who lack access to a cert... Read More about Covariant Residual Entropy.

On the oscillation of species (2014)
Journal Article
Bena, I., Ross, S., & Warner, N. (2014). On the oscillation of species. Journal of High Energy Physics, 2014(9), Article 113. https://doi.org/10.1007/jhep09%282014%29113

We describe a new class of BPS objects called magnetubes: their supersymmetry is determined by their magnetic charges, while their electric charges can oscillate freely between different species. We show how to incorporate these objects into microsta... Read More about On the oscillation of species.

Convex hulls of planar random walks with drift (2014)
Journal Article
Wade, A. R., & Xu, C. (2015). Convex hulls of planar random walks with drift. Proceedings of the American Mathematical Society, 143(1), 433-445. https://doi.org/10.1090/s0002-9939-2014-12239-8

Denote by Ln the length of the perimeter of the convex hull of n steps of a planar random walk whose increments have nite second moment and non-zero mean. Snyder and Steele showed that -1 Ln converges almost surely to a deterministic limit, and prove... Read More about Convex hulls of planar random walks with drift.

Rank deficiency in sparse random GF[2] matrices (2014)
Journal Article
Darling, R. W., Penrose, M. D., Wade, A. R., & Zabell, S. L. (2014). Rank deficiency in sparse random GF[2] matrices. Electronic Journal of Probability, 19, Article 83. https://doi.org/10.1214/ejp.v19-2458

Let M be a random m×n matrix with binary entries and i.i.d. rows. The weight (i.e., number of ones) of a row has a specified probability distribution, with the row chosen uniformly at random given its weight. Let N(n,m) denote the number of left null... Read More about Rank deficiency in sparse random GF[2] matrices.

Numerical inversion of SRNFs for efficient elastic shape analysis of star-shaped objects (2014)
Presentation / Conference Contribution
Xie, Q., Jermyn, I., Kurtek, S., & Srivastava, A. (2014, September). Numerical inversion of SRNFs for efficient elastic shape analysis of star-shaped objects. Presented at Proc. European Conference on Computer Vision (ECCV), Zurich

The elastic shape analysis of surfaces has proven useful in several application areas, including medical image analysis, vision, and graphics. This approach is based on defining new mathematical representations of parameterized surfaces, including th... Read More about Numerical inversion of SRNFs for efficient elastic shape analysis of star-shaped objects.