{
  "id": "2401.04459",
  "version": "v1",
  "published": "2024-01-09T09:50:26.000Z",
  "updated": "2024-01-09T09:50:26.000Z",
  "title": "The intermediate disorder regime for stable directed polymer in Poisson environment",
  "authors": [
    "Min Wang"
  ],
  "comment": "15 pages, comments welcome",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the stable directed polymer in Poisson random environment in dimension 1+1, under the intermediate disorder regime. We show that, under a diffusive scaling involving different parameters of the system, the normalized point-to-point partition function of the polymer converges in law to the solution of the stochastic heat equation with fractional Laplacian and Gaussian multiplicative noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-09T09:50:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60K35",
      "82D60"
    ],
    "keywords": [
      "intermediate disorder regime",
      "stable directed polymer",
      "poisson environment",
      "stochastic heat equation",
      "poisson random environment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}