Outputs (184)

On the Bayesian treed multivariate Gaussian process with linear model of coregionalization (2014)
Journal Article
Konomi, B., Karagiannis, G., & Lin, G. (2015). On the Bayesian treed multivariate Gaussian process with linear model of coregionalization. Journal of Statistical Planning and Inference, 157-158, 1-15. https://doi.org/10.1016/j.jspi.2014.08.010

The Bayesian treed multivariate Gaussian process (BTMGP) and Bayesian treed Gaussian process (BTGP) provide straightforward mechanisms for emulating non-stationary multivariate computer codes that alleviate computational demands by fitting models loc... Read More about On the Bayesian treed multivariate Gaussian process with linear model of coregionalization.

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.

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.

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.

Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere (2014)
Journal Article
Suphakorn, C., Peeters, K., Vanichchapongjaroen, P., & Zamaklar, M. (2014). Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere. Journal of High Energy Physics, 2014(9), Article 58. https://doi.org/10.1007/jhep09%282014%29058

We study the effect of a magnetic field on N = 2 super-Yang-Mills on S 3 at strong coupling using the gauge/gravity correspondence. As in previous work that dealt with the theory in infinite volume, we find that increasing the magnetic field pushes t... Read More about Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere.

Hexagonal Patterns in a Simplified Model for Block Copolymers (2014)
Journal Article
Bourne, D., Peletier, M., & Roper, S. (2014). Hexagonal Patterns in a Simplified Model for Block Copolymers. SIAM Journal on Applied Mathematics, 74(5), 1315-1337. https://doi.org/10.1137/130922732

In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be amenable not only to numerics but also to analysis, yet sophisticated enough to reproduce h... Read More about Hexagonal Patterns in a Simplified Model for Block Copolymers.