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A higher-rank Mersenne problem (2002)
Book Chapter
Everest, G., Rogers, P., & Ward, T. (2002). A higher-rank Mersenne problem. In C. Fieker, & D. Kohel (Eds.), Algorithmic number theory (95-107). Springer Verlag. https://doi.org/10.1007/3-540-45455-1_8

The classical Mersenne problem has been a stimulating challenge to number theorists and computer scientists for many years. After briefly reviewing some of the natural settings in which this problem appears as a special case, we introduce an analogue... Read More about A higher-rank Mersenne problem.

A full-acceptance detector at the LHC (FELIX) (2002)
Journal Article
Ageev, A., Akhobadze, K., Alvero, L., Amelino-Camelia, G., Avati, V., Baier, R., …Zotov, N. (2002). A full-acceptance detector at the LHC (FELIX). Journal of Physics G: Nuclear and Particle Physics, 28, 117-

Extremal properties of the principal Dirichlet eigenvalue for regular polygons in the hyperbolic plane (2002)
Journal Article
Karp, L., & Peyerimhoff, N. (2002). Extremal properties of the principal Dirichlet eigenvalue for regular polygons in the hyperbolic plane. Archiv der Mathematik, 79, 223-231. https://doi.org/10.1007/s00013-002-8308-z

We prove that amongst all hyperbolic triangles of equal perimeter or quadrilaterals in a given geodesic ball the regular polygon is the unique minimum for the first Dirichlet eigenvalue. Moreover, we give a geometric description of the set of all hyp... Read More about Extremal properties of the principal Dirichlet eigenvalue for regular polygons in the hyperbolic plane.

Cohomology of canonical projection tilings (2002)
Journal Article
Forrest, A., Hunton, J., & Kellendonk, J. (2002). Cohomology of canonical projection tilings. Communications in Mathematical Physics, 226, 289-322

Plane waves: To infinity and beyond! (2002)
Journal Article
Marolf, D., & Ross, S. F. (2002). Plane waves: To infinity and beyond!. Classical and Quantum Gravity, 19, 6289-6302. https://doi.org/10.1088/0264-9381/19/24/302

We describe the asymptotic boundary of the general homogeneous plane wave spacetime, using a construction of the 'points at infinity' from the causal structure of the spacetime as introduced by Geroch, Kronheimer and Penrose. We show that this constr... Read More about Plane waves: To infinity and beyond!.

Causal structures of pp-waves (2002)
Journal Article
Hubeny, V. E., & Rangamani, M. (2002). Causal structures of pp-waves. Journal of High Energy Physics, 2002(12), https://doi.org/10.1088/1126-6708/2002/12/043

We discuss the causal structure of pp-wave spacetimes using the ideal point construction outlined by Geroch, Kronheimer, and Penrose. This generalizes the recent work of Marolf and Ross, who considered similar issues for plane wave spacetimes. We add... Read More about Causal structures of pp-waves.

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization (2002)
Journal Article
Houston, P., Jensen, M., & Suli, E. (2002). hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. Journal of Scientific Computing, 17(1-4), 3-25. https://doi.org/10.1023/a%3A1015180009979

We consider a family of hp-version discontinuous Galerkin finite element methods with least-squares stabilization for symmetric systems of first-order partial differential equations. The family includes the classical discontinuous Galerkin finite ele... Read More about hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization.

Nonparametric predictive inference in reliability. (2002)
Journal Article
Coolen, F., Coolen-Schrijner, P., & Yan, K. (2002). Nonparametric predictive inference in reliability. Reliability Engineering & System Safety, 78(2), 185-193. https://doi.org/10.1016/s0951-8320%2802%2900162-x

We introduce a recently developed statistical approach, called nonparametric predictive inference (NPI), to reliability. Bounds for the survival function for a future observation are presented. We illustrate how NPI can deal with right-censored data,... Read More about Nonparametric predictive inference in reliability..

No horizons in pp-waves (2002)
Journal Article
Hubeny, V. E., & Rangamani, M. (2002). No horizons in pp-waves. Journal of High Energy Physics, 2002(11), https://doi.org/10.1088/1126-6708/2002/11/021

We argue that pp-wave backgrounds can not admit event horizons. We also comment on pp-wave generalizations which would admit horizons and show that there exists a black string solution which asymptotes to a five dimensional plane wave background.

Global stability for convection induced by absorption of radiation (2002)
Journal Article
Straughan, B. (2002). Global stability for convection induced by absorption of radiation. Dynamics of Atmospheres and Oceans, 35(4), 351-361. https://doi.org/10.1016/s0377-0265%2802%2900051-9

We study the linear instability and nonlinear stability of a model, for convection induced by selective absorption of radiation, due to Krishnamurti. The nonlinear analysis yields critical Rayleigh numbers very close to the critical ones of linear in... Read More about Global stability for convection induced by absorption of radiation.