Full-Text PDF (2370 KB) | Introduction as PDF | Metadata | Table of Contents | OWR summary
Published online: 2013-05-29
Optimal and Near Optimal Configurations on Lattices and ManifoldsChristine Bachoc, Peter Grabner, Edward B. Saff and Achill Schürmann (1) Université de Bordeaux I, Talence, France
(2) Technische Universität Graz, Austria
(3) Vanderbilt University, Nashville, USA
(4) Universität Rostock, Germany
Optimal configurations of points arise in many contexts, for example classical ground states for interacting particle systems, Euclidean packings of convex bodies, as well as minimal discrete and continuous energy problems for general kernels. Relevant questions in this area include the understanding of asymptotic optimal configurations, of lattice and periodic configurations, the development of algorithmic constructions of near optimal configurations, and the application of methods in convex optimization such as linear and semidefinite programming.
No keywords available for this article.
Bachoc Christine, Grabner Peter, Saff Edward, Schürmann Achill: Optimal and Near Optimal Configurations on Lattices and Manifolds. Oberwolfach Rep. 9 (2012), 2429-2492. doi: 10.4171/OWR/2012/40