{
  "id": "2302.11726",
  "version": "v1",
  "published": "2023-02-23T01:18:10.000Z",
  "updated": "2023-02-23T01:18:10.000Z",
  "title": "Chung's Law of the Iterated Logarithm for a Class of Stochastic Heat Equations",
  "authors": [
    "Jiaming Chen"
  ],
  "comment": "8 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish a Chung-type law of the iterated logarithm for the solutions of a class of stochastic heat equations driven by a multiplicative noise whose coefficient depends on the solution, and this dependence takes us away from Gaussian processes setting. Based on existing results from the literature on small ball probability, the limiting term is provided with both upper and lower bounds almost surely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-23T01:18:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15"
    ],
    "keywords": [
      "iterated logarithm",
      "chungs law",
      "stochastic heat equations driven",
      "small ball probability",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}