Distributing points on spheres or other sets is a very classical problem. Its modern formulation in terms of energy-minimising configurations is due to the discoverer of the electron J. J. Thomson who in 1904 posed the question in which position—within some set such as a ball or a sphere—would N electrons lie in order to […]
Several transversality properties of pairs of sets and their role in the convergence analysis of fundamental projection algorithms will be discussed. Dual characterizations of the properties in terms of Fréchet, limiting and proximal normals will be provided. The new ‘intrinsic transversality’ property will be examined. The talk is based on the following recent papers. A. […]
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