{
  "id": "1201.4381",
  "version": "v5",
  "published": "2012-01-20T20:33:20.000Z",
  "updated": "2012-04-21T17:11:01.000Z",
  "title": "SLE_k: correlation functions in the coefficient problem",
  "authors": [
    "Igor Loutsenko"
  ],
  "journal": "J. Phys. A: Math. Theor. 45 275001, 2012",
  "categories": [
    "math-ph",
    "math.CV",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We apply the method of correlation functions to the coefficient problem in stochastic geometry. In particular, we give a proof for some universal patterns conjectured by M. Zinsmeister for the second moments of the Taylor coefficients for special values of kappa in the whole-plane Schramm-Loewner evolution (SLE_kappa). We propose to use multi-point correlation functions for the study of higher moments in coefficient problem. Generalizations related to the Levy-type processes are also considered. The exact multifractal spectrum of considered version of the whole-plane SLE_kappa is discussed.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-04-21T17:11:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coefficient problem",
      "whole-plane schramm-loewner evolution",
      "multi-point correlation functions",
      "exact multifractal spectrum",
      "taylor coefficients"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/45/27/275001",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Jul",
      "volume": 45,
      "number": 27,
      "pages": 275001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45A5001L"
    }
  }
}