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.

744 Motooka, Nishi-ku

Fukuoka 819-0395, Japan

TEL (Office): +81-92-802-4402

FAX (Office): +81-92-802-4405

##### IMI(Institute of Mathematics for Industry)

# Seminar

List | All(1087) | Today and tomorrow's seminars(1) |

## 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) | |