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Optimal and near optimal configurations on lattices and manifolds. Abstracts from the workshop held August 19–25, 2012. (English) Zbl 1349.00046

Summary: 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.

MSC:

00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
52-06 Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
11K41 Continuous, \(p\)-adic and abstract analogues
52C17 Packing and covering in \(n\) dimensions (aspects of discrete geometry)
11H31 Lattice packing and covering (number-theoretic aspects)
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References:

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