A note on the capacity estimate in metastability for generic configurations
Analysis of PDEs
2023-12-22 v3 Probability
Abstract
In this paper we further develop the ideas from Geometric Function Theory initially introduced in [arXiv:2206.13206], 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 [arXiv:2206.13206] by providing an upper bound using Geometric Function Theory together with Thompson's principle, avoiding explicit constructions of test functions.
Cite
@article{arxiv.2210.08787,
title = {A note on the capacity estimate in metastability for generic configurations},
author = {Benny Avelin and Vesa Julin},
journal= {arXiv preprint arXiv:2210.08787},
year = {2023}
}