In this article we obtain uniform estimates on the absorption of Brownian motion by porous interfaces surrounding a compact set. An important ingredient is the construction of certain resonance sets, which are hard to avoid for Brownian motion starting in the compact set. As an application of our results, we substantially strengthen the results of arXiv:1412.3960, and obtain when $d \ge 3$, large deviation upper bounds on the probability that simple random walk in $Z^d$, or random interlacements in $Z^d$, when their vacant set is in a strongly percolative regime, disconnect the discrete blow-up of a regular compact set from the boundary of the discrete blow-up of a box containing the compact set in its interior. Importantly, we make no convexity assumption on the compact set. It is plausible, although open at the moment, that the upper bounds that we derive in this work match in principal order the lower bounds of Xinyi Li and the second author (see arXiv:1310.2177) in the case of random interlacements, and of Xinyi Li (see arXiv:1412.3959) for the simple random walk.

中文翻译：

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多孔界面的凝固和断开

在本文中，我们通过围绕紧集的多孔界面获得对布朗运动吸收的统一估计。一个重要的组成部分是某些共振集的构造，这对于从紧集开始的布朗运动来说是难以避免的。作为我们结果的应用，我们大大加强了 arXiv:1412.3960 的结果，并获得了当 $d\ge 3$ 时，$Z^d$ 中简单随机游走或 $Z^d$ 中随机交错的概率的大偏差上限Z^d$，当它们的空集处于强渗透状态时，将常规紧集的离散爆炸与内部包含紧集的盒子的离散爆炸的边界断开。重要的是，我们对紧集没有做凸性假设。这是有道理的，虽然目前是开放的，