{
  "id": "2405.21026",
  "version": "v1",
  "published": "2024-05-31T17:15:33.000Z",
  "updated": "2024-05-31T17:15:33.000Z",
  "title": "A note on oriented percolation with inhomogeneities and strict inequalities",
  "authors": [
    "Bernardo N. B. de Lima",
    "Daniel Ungaretti",
    "Maria Eulália Vares"
  ],
  "categories": [
    "math.PR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-31T17:15:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "oriented percolation",
      "strict inequalities",
      "inhomogeneities",
      "long range dependence",
      "extra dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}