{
  "id": "1604.08378",
  "version": "v1",
  "published": "2016-04-28T11:31:03.000Z",
  "updated": "2016-04-28T11:31:03.000Z",
  "title": "Multiplicative chaos measures for a random model of the Riemann zeta function",
  "authors": [
    "Eero Saksman",
    "Christian Webb"
  ],
  "categories": [
    "math.PR",
    "math.NT"
  ],
  "abstract": "We prove convergence of a stochastic approximation of powers of the Riemann $\\zeta$ function to a non-Gaussian multiplicative chaos measure, and prove that this measure is a non-trivial multifractal random measure. The results cover both the subcritical and critical chaos. A basic ingredient of the proof is a 'good' Gaussian approximation of the induced random fields that is potentially of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-28T11:31:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta function",
      "random model",
      "non-trivial multifractal random measure",
      "non-gaussian multiplicative chaos measure",
      "independent interest"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160408378S"
    }
  }
}