{
  "id": "0710.3095",
  "version": "v2",
  "published": "2007-10-16T15:42:04.000Z",
  "updated": "2008-04-03T11:21:28.000Z",
  "title": "Ballistic Phase of Self-Interacting Random Walks",
  "authors": [
    "Dmitry Ioffe",
    "Yvan Velenik"
  ],
  "comment": "One picture and a few annoying typos corrected. Version to be published",
  "journal": "\"Analysis and stochastics of growth processes and interface models\", Oxford: Oxford Univ. Press (2008) , p. 55--79",
  "doi": "10.1093/acprof:oso/9780199239252.001.0001",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We explain a unified approach to a study of ballistic phase for a large family of self-interacting random walks with a drift and self-interacting polymers with an external stretching force. The approach is based on a recent version of the Ornstein-Zernike theory developed in earlier works. It leads to local limit results for various observables (e.g. displacement of the end-point or number of hits of a fixed finite pattern) on paths of n-step walks (polymers) on all possible deviation scales from CLT to LD. The class of models, which display ballistic phase in the \"universality class\" discussed in the paper, includes self-avoiding walks, Domb-Joyce model, random walks in an annealed random potential, reinforced polymers and weakly reinforced random walks.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-03T11:21:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-interacting random walks",
      "display ballistic phase",
      "local limit results",
      "annealed random potential",
      "domb-joyce model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3095I"
    }
  }
}