Critical behavior for an oriented percolation with long-range interactions in dimension \(d>2\)
type: Item
instance of: scholarly article
title: Critical behavior for an oriented percolation with long-range interactions in dimension \(d>2\)
zbMATH Open document ID: 1113.82065
author: Lung-Chi Chen
author: Narn-Rueih Shieh
published in: Taiwanese Journal of Mathematics
publication date: 2007-01-29T00:00:00Z
review text: The oriented percolation model is introduced, which may be regarded as an infinite layer long-range model on \(\mathbb{Z}^d\times\mathbb{Z}\), \(d>2\), where the bond occupation probability decays as the \(\alpha\)-stable distribution with \(\alpha=1\). The lace expansion is used to get an \(L^1\) infrared bound estimate for the dimension \(d>2\).
Mathematics Subject Classification ID: 82C43
Mathematics Subject Classification ID: 82C27
zbMATH DE Number: 5119527
zbMATH Keywords: oriented percolation
zbMATH Keywords: long-range interactions
zbMATH Keywords: critical behavior
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500557307
OpenAlex ID: W1790279176
DOI: 10.11650/TWJM/1500557307
description: scientific article; zbMATH DE number 5119527