Institute of Mathematics for Industry

Seminar



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Self organization by local interaction: good point sets on a sphere or on other manifolds


Hold Date 2017-02-24 12:00~2017-02-24 13:00

Place Lecture Room S W1-C-504, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Johann Brauchart (Institute of Analysis and Number Theory at Graz University of Technology, Graz, Austria)

Abstract:
The question of how to distribute many points evenly on the sphere occurs in a surprising number of problems in various fields of science and engineering ranging from physics over chemistry to geodesy and mathematics.  A classic example from physics is Thomson's problem of determining the minimal potential energy distribution of N electrons on the unit sphere that repel each other with a force given by Coulomb's law. A general principle to generate good point sets is to optimize w.r.t. a suitable criterion such as ``generalized energy'’. In my talk I will present results from my research, in particular, concerning Quasi-Monte Carlo numerical integration methods and discuss the concept of ``hyperuniformity'' in the compact setting.