English

Extremal Polarization Configurations for Integrable Kernels

Classical Analysis and ODEs 2015-07-20 v1

Abstract

Our main result shows that if a lower-semicontinuous kernel K satisfies some mild additional hypotheses, then asympotitically polarization optimal configurations are precisely those that are asymptotically distributed according to the equilibrium measure for the corresponding minimum energy problem.

Keywords

Cite

@article{arxiv.1507.04813,
  title  = {Extremal Polarization Configurations for Integrable Kernels},
  author = {Brian Simanek},
  journal= {arXiv preprint arXiv:1507.04813},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T10:13:35.966Z