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Discrete and continuous green energy on compact manifolds

Abstract: In this note we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove that a sequence of minimizers for the Green energy is asymptotically uniformly distributed. We pay special attention to the case of locally harmonic manifolds.

 Fuente: Journal of Approximation Theory 237 (2019) 160-185

 Publisher: Elsevier

 Year of publication: 2019

 No. of pages: 26

 Publication type: Article

 DOI: 10.1016/j.jat.2018.09.004

 ISSN: 0021-9045,1096-0430

 Publication Url: https://doi.org/10.1016/j.jat.2018.09.004

Authorship

JUAN GONZALEZ CRIADO DEL REY