A note on inhomogeneous percolation
type: Item
instance of: scholarly article
title: A note on inhomogeneous percolation
zbMATH Open document ID: 0814.60097
published in: The Annals of Probability
publication date: 1995-06-18T00:00:00Z
review text: The independent bond percolation model on \(\mathbb{Z}^ 2\) with inhomogeneous probabilities \(p\{x, y\}\), \(x,y \in \mathbb{Z}^ 2\), of the \(\{x, y\}\)-bond opening is considered. The bonds with vertices in the \(X\) axis are open with probability \(\delta\) and all other bonds are open with probability \(p\). The author shows that no percolation occurs at \(p_ c\) for any \(\delta < 1\).
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 681383
zbMATH Keywords: bond percolation
zbMATH Keywords: percolation threshold
author: Y. Zhang
reviewed by: Yu. P. Virchenko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176988730
OpenAlex ID: W2070057651
DOI: 10.1214/AOP/1176988730
description: scientific article; zbMATH DE number 681383