{
  "id": "1210.1723",
  "version": "v1",
  "published": "2012-10-05T11:55:14.000Z",
  "updated": "2012-10-05T11:55:14.000Z",
  "title": "Diffusivity and Ballistic Behavior of Random Walk in Random Environment",
  "authors": [
    "Xiaoqin Guo"
  ],
  "comment": "PhD thesis",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this thesis, we study the diffusive and ballistic behaviors of random walk in random environment (RWRE) in an integer lattice with dimension at least 2. Our contributions are in three directions: a conditional law of large numbers and regeneration structures for RWRE in Gibbsian environments, quenched invariance principles for balanced elliptic (but non uniformly elliptic) environments, and a proof of the Einstein relation for balanced iid uniformly elliptic environments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-05T11:55:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random environment",
      "random walk",
      "ballistic behavior",
      "diffusivity",
      "balanced iid uniformly elliptic environments"
    ],
    "tags": [
      "dissertation"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 2012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhDT........23G"
    }
  }
}