Outputs (208)

Hierarchical Emulation: a method for modeling and comparing nested simulators (2016)
Journal Article
Oughton, R. H., & Craig, P. S. (2016). Hierarchical Emulation: a method for modeling and comparing nested simulators. SIAM/ASA Journal on Uncertainty Quantification, 4(1), 495-519. https://doi.org/10.1137/15m1007914

Computer simulators often contain options to include extensions, leading to different versions of a particular simulator with slightly different input spaces. We develop hierarchical emulation, a method for emulating such simulators and for learning... Read More about Hierarchical Emulation: a method for modeling and comparing nested simulators.

Holographic partition functions and phases for higher genus Riemann surfaces (2016)
Journal Article
Maxfield, H., Ross, S. F., & Way, B. (2016). Holographic partition functions and phases for higher genus Riemann surfaces. Classical and Quantum Gravity, 33(12), Article 125018. https://doi.org/10.1088/0264-9381/33/12/125018

We describe a numerical method to compute the action of Euclidean saddle points for the partition function of a two-dimensional holographic CFT on a Riemann surface of arbitrary genus, with constant curvature metric. We explicitly evaluate the action... Read More about Holographic partition functions and phases for higher genus Riemann surfaces.

A New Technique for the Photospheric Driving of Non-Potential Solar Coronal Magnetic Field Simulations (2016)
Journal Article
Weinzierl, M., Yeates, A. R., Mackay, D. H., Henney, C. J., & Arge, C. N. (2016). A New Technique for the Photospheric Driving of Non-Potential Solar Coronal Magnetic Field Simulations. Astrophysical Journal, 823(1), Article 55. https://doi.org/10.3847/0004-637x/823/1/55

In this paper, we develop a new technique for driving global non-potential simulations of the Sun's coronal magnetic field solely from sequences of radial magnetic maps of the solar photosphere. A primary challenge to driving such global simulations... Read More about A New Technique for the Photospheric Driving of Non-Potential Solar Coronal Magnetic Field Simulations.

Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula (2016)
Journal Article
Coolen-Maturi, T., Coolen, F., & Muhammad, N. (2016). Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula. Journal of statistical theory and practice, 10(3), 515-538. https://doi.org/10.1080/15598608.2016.1184112

This paper presents a new method for prediction of an event involving a future bivariate observation. The method combines nonparametric predictive inference (NPI) applied to the marginals with a parametric copula to model and estimate the dependence... Read More about Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula.

Statistics of extreme ocean environments: Non-stationary inference for directionality and other covariate effects (2016)
Journal Article
Jones, M., Randell, D., Ewans, K., & Jonathan, P. (2016). Statistics of extreme ocean environments: Non-stationary inference for directionality and other covariate effects. Ocean Engineering, 119, 30-46. https://doi.org/10.1016/j.oceaneng.2016.04.010

Numerous approaches are proposed in the literature for non-stationarity marginal extreme value inference, including different model parameterisations with respect to covariate, and different inference schemes. The objective of this paper is to compar... Read More about Statistics of extreme ocean environments: Non-stationary inference for directionality and other covariate effects.

Untangling knots via reaction-diffusion dynamics of vortex strings (2016)
Journal Article
Maucher, F., & Sutcliffe, P. (2016). Untangling knots via reaction-diffusion dynamics of vortex strings. Physical Review Letters, 116(17), Article 178101. https://doi.org/10.1103/physrevlett.116.178101

We introduce and illustrate a new approach to the unknotting problem via the dynamics of vortex strings in a nonlinear partial differential equation of reaction-diffusion type. To untangle a given knot, a Biot-Savart construction is used to initializ... Read More about Untangling knots via reaction-diffusion dynamics of vortex strings.

Self-organization of light in optical media with competing nonlinearities (2016)
Journal Article
Maucher, F., Pohl, T., Skupin, S., & Krolikowski, W. (2016). Self-organization of light in optical media with competing nonlinearities. Physical Review Letters, 116(16), Article 163902. https://doi.org/10.1103/physrevlett.116.163902

We study the propagation of light beams through optical media with competing nonlocal nonlinearities. We demonstrate that the nonlocality of competing focusing and defocusing nonlinearities gives rise to self-organization and stationary states with s... Read More about Self-organization of light in optical media with competing nonlinearities.

The extended polar writhe: a tool for open curves mechanics (2016)
Journal Article
Prior, C., & Neukirch, S. (2016). The extended polar writhe: a tool for open curves mechanics. Journal of Physics A: Mathematical and Theoretical, 49(21), Article 215201. https://doi.org/10.1088/1751-8113/49/21/215201

A measure of the writhing of a curve is introduced and is used to extend the C?lug?reanu? decomposition for closed curves, as well as the polar decomposition for curves bound between planes. The new writhe measure is also shown to be able to assess c... Read More about The extended polar writhe: a tool for open curves mechanics.

Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space (2016)
Journal Article
Savostianov, A., & Zelik, S. (2016). Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space. Mathematical Models and Methods in Applied Sciences, 26(07), Article 1357. https://doi.org/10.1142/s0218202516500329

We prove the global well-posedness of the so-called hyperbolic relaxation of the Cahn–Hilliard–Oono equation in the whole space R3ℝ3 with the nonlinearity of the sub-quintic growth rate. Moreover, the dissipativity and the existence of a smooth globa... Read More about Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space.

Diophantine approximation for products of linear maps—logarithmic improvements (2016)
Journal Article
Gorodnik, A., & Vishe, P. (2016). Diophantine approximation for products of linear maps—logarithmic improvements. Transactions of the American Mathematical Society, 370(1), 487-507. https://doi.org/10.1090/tran/6953

This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximation which involves minimising values of a product of affine linear forms computed at integral points. It was previously known that values of this produ... Read More about Diophantine approximation for products of linear maps—logarithmic improvements.