论文标题

渗透理论的OSSS方法

The OSSS Method in Percolation Theory

论文作者

Kern, Julian

论文摘要

2017年,Duminil-Copin等。引入了OSSS方法来研究各种渗滤模型的性质。本文档旨在向读者介绍这种新方法。它包含对渗滤理论的介绍,然后集中在泊松树树渗透的情况下。本文档的大多数专门针对[DRT18]的详细分析。这项工作是2019年夏季与Jean-BaptisteGouéré大学实习的结果。

In 2017, Duminil-Copin et al. introduced the OSSS method to study properties of diverse percolation models. This document aims to introduce the reader to this new method. It contains a introduction to percolation theory, then concentrates on the case of Poisson-Boolean percolation. The majority of this document is dedicated to an detailed analysis of [DRT18]. This work is the result of an internship in Summer 2019 with Jean-Baptiste Gouéré at the University of Tours.

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