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tfm_arribas_viera_david.pdf (742.83 KB)

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Master thesis

Publication date

2024-09-02

Publication license

cc by-nc-nd (c) David Arribas Viera, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217049

Minimal energy on the circle

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Abstract

We find minimizing configurations for most of the Riesz-$s$ energies on the unit circle $S^{1}$ . We also provide a complete asymptotic expansion of the Riesz-$s$ energy associated to $N$ equally spaced points on the $S^{1}$. Finally, we present Chui's conjecture, prove a partial result and show how it leads to an interesting consequence about function approximation in the Bergman space.

Description

Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Curs: 2023-2024. Director: Jordi Marzo Sánchez

Subject

Teoria del potencial (Matemàtica), Geometria convexa, Treballs de fi de màster, Funcions de variables complexes

Subject (English)

Potential theory (Mathematics), Convex geometry, Master's thesis, Functions of complex variables

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Màster Oficial - Matemàtica Avançada

Citation

ARRIBAS VIERA, David. Minimal energy on the circle. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/217049

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