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The OSSS Method in Percolation Theory

2020/05/06 by Julian Kern, Kern, Julian
Mathematics · Psychology · Social Sciences · #60G55 #60K35 #68W20 #Combinatorics #Computer science #Continuum percolation theory #FOS: Mathematics #Human Mobility and Location-Based Analysis #Internship #Law #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation theory #Percolation threshold #Physics #Poisson distribution #Political science #Probability (math.PR) #Psychology #Quantum mechanics #Random Matrices and Applications #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Topology (electrical circuits) #math.PR #msc:60G55 #msc:60K35 #msc:68W20

paper · pdf · doi:10.48550/arxiv.2005.02899

published in arXiv (Cornell University) (Cornell University)

arxiv created 2020/05/06 · openalex publication_date 2020/05/06 · arxiv updated 2020/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Gouéré at the University of Tours.

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