English

A note on oriented percolation with inhomogeneities and strict inequalities

Probability 2024-06-26 v1

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

Cite

@article{arxiv.2405.21026,
  title  = {A note on oriented percolation with inhomogeneities and strict inequalities},
  author = {Bernardo N. B. de Lima and Daniel Ungaretti and Maria Eulália Vares},
  journal= {arXiv preprint arXiv:2405.21026},
  year   = {2024}
}
R2 v1 2026-06-28T16:48:45.899Z