{
  "id": "2505.11457",
  "version": "v1",
  "published": "2025-05-16T17:11:08.000Z",
  "updated": "2025-05-16T17:11:08.000Z",
  "title": "Noise sensitivity of crossings for high temperature Ising model",
  "authors": [
    "Vincent Tassion",
    "Hugo Vanneuville"
  ],
  "comment": "44 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Consider the event that there is a $+$ crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber dynamics $t \\mapsto \\sigma_t$ in the subcritical regime $\\beta<\\beta_c$. We rely on the non-spectral approach from our previous work [TV23]. An important aspect in this more general setup is the study of the pair $(\\sigma_0,\\sigma_t)$ and in particular the establishment of properties such as finite-energy and spatial mixing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-16T17:11:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high temperature ising model",
      "noise sensitivity",
      "triangular lattice",
      "glauber dynamics",
      "non-spectral approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}