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Outputs (147)

Heating of Braided Coronal Loops (2011)
Journal Article
Wilmot-Smith, A., Pontin, D., Yeates, A., & Hornig, G. (2011). Heating of Braided Coronal Loops. Astronomy & Astrophysics, 536, https://doi.org/10.1051/0004-6361/201117942

Aims. We investigate the relaxation of braided magnetic loops in order to find out how the type of braiding via footpoint motions affects resultant heating of the loop. Methods. Two magnetic loops, braided in different ways, are used as initial condi... Read More about Heating of Braided Coronal Loops.

Multiplicatively badly approximable numbers and generalised Cantor sets (2011)
Journal Article
Badziahin, D., & Velani, S. (2011). Multiplicatively badly approximable numbers and generalised Cantor sets. Advances in Mathematics, 228(5), 2766-2796. https://doi.org/10.1016/j.aim.2011.06.041

Let p be a prime number. The p -adic case of the Mixed Littlewood Conjecture states that View the MathML sourceliminfq→∞q⋅|q|p⋅‖qα‖=0 for all α∈Rα∈R. We show that with the additional factor of View the MathML sourcelogqloglogq the statement is false.... Read More about Multiplicatively badly approximable numbers and generalised Cantor sets.

Unobserved, re-defined, unknown or removed failure modes in competing risks (2011)
Journal Article
Coolen-Maturi, T., & Coolen, F. (2011). Unobserved, re-defined, unknown or removed failure modes in competing risks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 225(4), 461-474. https://doi.org/10.1177/1748006x11401706

Recently the nonparametric predictive approach to inference for competing risks was introduced by Maturi et al. (2010, J. Risk Reliab. 224, 11–26). In this paper further results for such inferences are presented, with focus on four important and clos... Read More about Unobserved, re-defined, unknown or removed failure modes in competing risks.

Census of the complex hyperbolic sporadic triangle groups (2011)
Journal Article
Deraux, M., Parker, J. R., & Paupert, J. (2011). Census of the complex hyperbolic sporadic triangle groups. Experimental Mathematics, 20(4), 467-586. https://doi.org/10.1080/10586458.2011.565262

The goal of this paper is to give a conjectural census of complex hyperbolic sporadic triangle groups. We prove that only finitely many of these sporadic groups are lattices. We also give a conjectural list of all lattices among sporadic groups, and... Read More about Census of the complex hyperbolic sporadic triangle groups.

A natural language for AdS/CFT correlators (2011)
Journal Article
Fitzpatrick, A. L., Kaplan, J., Penedones, J., Raju, S., & van Rees, B. C. (2011). A natural language for AdS/CFT correlators. Journal of High Energy Physics, 2011(11), Article 095. https://doi.org/10.1007/jhep11%282011%29095

We provide dramatic evidence that ‘Mellin space’ is the natural home for correlation functions in CFTs with weakly coupled bulk duals. In Mellin space, CFT correlators have poles corresponding to an OPE decomposition into ‘left’ and ‘right’ sub-corre... Read More about A natural language for AdS/CFT correlators.

On a problem in simultaneous Diophantine approximation: Schmidt's conjecture (2011)
Journal Article
Badziahin, D., Pollington, A., & Velani, S. (2011). On a problem in simultaneous Diophantine approximation: Schmidt's conjecture. Annals of Mathematics, 174(3), 1837-1883. https://doi.org/10.4007/annals.2011.174.3.9

For any i,j≥0 with i+j=1 , let Bad(i,j) denote the set of points (x,y)∈R 2 for which max{∥qx∥ 1/i ,∥qy∥ 1/j }>c/q for all q∈N . Here c=c(x,y) is a positive constant. Our main result implies that any finite intersection of such sets has full dimension... Read More about On a problem in simultaneous Diophantine approximation: Schmidt's conjecture.

Non-abelian congruences between special values of L-functions of elliptic curves; the CM case (2011)
Journal Article
Bouganis, A. (2011). Non-abelian congruences between special values of L-functions of elliptic curves; the CM case. International Journal of Number Theory, 07(07), 1883-1934. https://doi.org/10.1142/s179304211100468x

In this work we prove congruences between special values of L-functions of elliptic curves with CM that seem to play a central role in the analytic side of the non-commutative Iwasawa theory. These congruences are the analog for elliptic curves with... Read More about Non-abelian congruences between special values of L-functions of elliptic curves; the CM case.

Scattering amplitudes and Wilson loops in twistor space (2011)
Journal Article
Adamo, T., Bullimore, M., Mason, L., & Skinner, D. (2011). Scattering amplitudes and Wilson loops in twistor space. Journal of Physics A: Mathematical and Theoretical, 44(45), Article 454008. https://doi.org/10.1088/1751-8113/44/45/454008

This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for $\mathcal {N}=4$ super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally sup... Read More about Scattering amplitudes and Wilson loops in twistor space.

Skyrmion stars and the multilayered rational map ansatz (2011)
Journal Article
Nelmes, S., & Piette, B. (2011). Skyrmion stars and the multilayered rational map ansatz. Physical Review D, 84(8), Article 085017. https://doi.org/10.1103/physrevd.84.085017

We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars and construct low energy configurations that resemble neutron stars. Previous studies have shown that gravitating Skyrmions produced by us... Read More about Skyrmion stars and the multilayered rational map ansatz.