A note on oriented percolation with inhomogeneities and strict inequalities

This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to deal with questions on the strict decrease of the percolation parameter in the oriented setup when an extra dimension is ad...

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Bibliographic Details
Published inarXiv.org
Main Authors Bernardo N B de Lima, Ungaretti, Daniel, Vares, Maria Eulália
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.05.2024
Subjects
Mathematics - Probability
Percolation
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Summary:This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to deal with questions on the strict decrease of the percolation parameter in the oriented setup when an extra dimension is added.
ISSN:2331-8422
DOI:10.48550/arxiv.2405.21026