arXiv:2405.21026 Abstract | arXiv Analytics

arXiv:2405.21026 [math.PR]Abstract References Reviews Resources

A note on oriented percolation with inhomogeneities and strict inequalities

Bernardo N. B. de Lima, Daniel Ungaretti, Maria Eulália Vares

Published 2024-05-31Version 1

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.

Categories: math.PR

Keywords: oriented percolation, strict inequalities, inhomogeneities, long range dependence, extra dimension

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