{
  "id": "1407.7481",
  "version": "v2",
  "published": "2014-07-28T17:45:15.000Z",
  "updated": "2019-04-25T19:10:23.000Z",
  "title": "Logarithmic potential theory and large deviation",
  "authors": [
    "T. Bloom",
    "N. Levenberg",
    "F. Wielonsky"
  ],
  "journal": "Comput. Methods Funct. Theory 15 (2015), 555-594",
  "categories": [
    "math.PR",
    "math.CV"
  ],
  "abstract": "We derive a general large deviation principle for a canonical sequence of probability measures, having its origins in random matrix theory, on unbounded sets $K$ of ${\\bf C}$ with weakly admissible external fields $Q$ and very general measures $\\nu$ on $K$. For this we use logarithmic potential theory in ${\\bf R}^{n}$, $n\\geq 2$, and a standard contraction principle in large deviation theory which we apply from the two-dimensional sphere in ${\\bf R}^{3}$ to the complex plane ${\\bf C}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-28T17:45:15.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2019-04-25T19:10:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "31B15"
    ],
    "keywords": [
      "logarithmic potential theory",
      "general large deviation principle",
      "large deviation theory",
      "random matrix theory",
      "standard contraction principle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.7481B"
    }
  }
}