{
  "id": "1704.01903",
  "version": "v1",
  "published": "2017-04-06T16:05:46.000Z",
  "updated": "2017-04-06T16:05:46.000Z",
  "title": "Local Behavior of Airy Processes",
  "authors": [
    "Leandro P. R. Pimentel"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "The Airy processes describe spatial fluctuations in wide range of growth models, where each particular Airy process arising in each case depends on the geometry of the initial profile. We show how the coupling method, developed in the last-passage percolation context, can be used to prove that several types of Airy processes have a continuous version, and behave locally like a Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-06T16:05:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local behavior",
      "last-passage percolation context",
      "growth models",
      "wide range",
      "spatial fluctuations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}