Work

Exponential Green energies, quantization, and minimizers on compact Riemann surfaces

Year: 2026

Type: preprint

Abstract: We study the exponential Green energies associated with a finite point configuration on a Riemann surface. We focus on studying optimal or close-to-optimal configurations, and show that they must be well-spread out on the surface. We study in particular the round sphere and obtain values for the minimal Green energy of a configuration. The first version of this paper was written with the help of ChatGPT.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15004

Authors: Hedenmalm, Haakan, Xie, Song-Yan

Language: English

Topic: Mathematical Approximation and Integration

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Ministry of Science and Higher Education of the Russian Federation

Awards: G6444257319, G6836815800

OpenAlex ID: W7221809588

Cites: 1

Cited by:

Related to: 10