A1 Journal article (refereed)
A note on the capacity estimate in metastability for generic configurations (2024)

Avelin, B., & Julin, V. (2024). A note on the capacity estimate in metastability for generic configurations. Manuscripta Mathematica, Early online. https://doi.org/10.1007/s00229-024-01555-1

JYU authors or editors

Julin, Vesa

Publication details

All authors or editors: Avelin, Benny; Julin, Vesa

Journal or series: Manuscripta Mathematica

ISSN: 0025-2611

eISSN: 1432-1785

Publication year: 2024

Publication date: 08/04/2024

Volume: Early online

Publisher: Springer

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1007/s00229-024-01555-1

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/94375

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2210.08787

Abstract

In this paper we further develop the ideas from Geometric Function Theory initially introduced in Avelin et al. (Commun Math Phys 404:401–437, 2023), to derive capacity estimate in metastability for arbitrary configurations. The novelty of this paper is twofold. First, the graph theoretical connection enables us to exactly compute the pre-factor in the capacity. Second, we complete the method from Avelin et al. (Commun Math Phys 404:401–437, 2023) by providing an upper bound using Geometric Function Theory together with Thompson’s principle, avoiding explicit constructions of test functions.

Keywords: potential theory; partial differential equations; complex analysis

Free keywords: 31B15; 35Q84

Fields of science: