论文标题
通用配置的稳定性的容量估计的注释
A note on the capacity estimate in metastability for generic configurations
论文作者
论文摘要
在本文中，我们进一步发展了从[Arxiv：2206.13206]中最初介绍的几何函数理论，以得出任意配置的亚稳定性的能力估计。本文的新颖性是双重的。首先，图理论连接使我们能够以容量的能力准确计算前因子。其次，我们通过使用几何函数理论以及汤普森的原理提供了上限，从[Arxiv：2206.13206]完成了方法，避免了测试功能的明确结构。
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.
