{
  "id": "1310.2680",
  "version": "v2",
  "published": "2013-10-10T01:55:30.000Z",
  "updated": "2015-07-09T03:17:16.000Z",
  "title": "Pointwise upper estimates for transition probability of continuous time random walks on graphs",
  "authors": [
    "Xinxing Chen"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Let $X$ be a continuous time random walk on a weighted graph. Given the on-diagonal upper bounds of transition probabilities at two vertices $x_1$ and $x_2$, we use an adapted metric initiated by Davies, and obtain Gaussian upper estimates for the off-diagonal transition probability $P_{x_1}(X_t=x_2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-10T01:55:30.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-07-09T03:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "30K08"
    ],
    "keywords": [
      "continuous time random walk",
      "pointwise upper estimates",
      "off-diagonal transition probability",
      "gaussian upper estimates",
      "on-diagonal upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2680C"
    }
  }
}