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A note on oriented percolation with inhomogeneities and strict inequalities

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

Stochastic Processes and their Applications, 2024, vol. 175, issue C

Abstract: 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.

Keywords: Strict inequalities; Percolation in a dependent environment; 3-dimensional hexagonal lattice (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spa.2024.104387

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