{
  "id": "1712.06940",
  "version": "v1",
  "published": "2017-12-19T14:16:24.000Z",
  "updated": "2017-12-19T14:16:24.000Z",
  "title": "Critical indices from self-similar root approximants",
  "authors": [
    "S. Gluzman",
    "V. I. Yukalov"
  ],
  "journal": "Eur. Phys. J. Plus 132 (2017) 535",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The method of self-similar root approximants has earlier been shown to provide accurate interpolating formulas for functions for which small-variable expansions are given and the behaviour of the functions at large variables is known. Now this method is generalized for the purpose of extrapolating small-variable expansions to the region of finite and large variables, where the sought function exhibits critical behaviour. The procedure of calculating critical indices is formulated and illustrated by a variety of physical problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-19T14:16:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-similar root approximants",
      "critical indices",
      "large variables",
      "accurate interpolating formulas",
      "sought function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}