The OSSS Method in Percolation Theory
Probability
2020-05-07 v1
Abstract
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 Gou\'er\'e at the University of Tours.
Cite
@article{arxiv.2005.02899,
title = {The OSSS Method in Percolation Theory},
author = {Julian Kern},
journal= {arXiv preprint arXiv:2005.02899},
year = {2020}
}