Applied and computational Analysis Seminars
Minimal Discrete Energy and Maximal Polarization
With Ed Saff (Vanderbilt University)
Minimal Discrete Energy and Maximal Polarization
This talk concerns minimal energy point configurations as well as maximal
polarization (Chebyshev) point configurations on manifolds, which are
optimization problems that are asymptotically related to best-packing and best-covering. In particular, we discuss how to generate N points on a d-dimensional manifold that have the desirable local properties of well-separation and optimal order covering radius, while asymptotically having a uniform distribution (as N grows large). Even for certain small numbers of points like N=5, optimal arrangements with regard to energy and polarization can be challenging problems. Connections to the very recent major breakthrough on best-packing results in R8 and R24 will also be described.
- Speaker: Ed Saff (Vanderbilt University)
- Thursday 16 March 2017, 15:00–16:00
- Venue: MR 14, CMS.
- Series: Applied and Computational Analysis; organiser: ai10.