{
  "id": "math/0611734",
  "version": "v1",
  "published": "2006-11-24T20:59:02.000Z",
  "updated": "2006-11-24T20:59:02.000Z",
  "title": "A Random Walk with Collapsing Bonds and Its Scaling Limit",
  "authors": [
    "Majid Hosseini",
    "Krishnamurthi Ravishankar"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce a new self-interacting random walk on the integers in a dynamic random environment and show that it converges to a pure diffusion in the scaling limit. We also find a lower bound on the diffusion coefficient in some special cases. With minor changes the same argument can be used to prove the scaling limit of the corresponding walk in Z^d.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-24T20:59:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F17"
    ],
    "keywords": [
      "scaling limit",
      "collapsing bonds",
      "dynamic random environment",
      "minor changes",
      "self-interacting random walk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11734H"
    }
  }
}