{
  "id": "1609.02120",
  "version": "v1",
  "published": "2016-09-07T19:16:39.000Z",
  "updated": "2016-09-07T19:16:39.000Z",
  "title": "Time-changes of stochastic processes associated with resistance forms",
  "authors": [
    "D. A. Croydon",
    "B. M. Hambly",
    "T. Kumagai"
  ],
  "comment": "3 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "Given a sequence of resistance forms that converges with respect to the Gromov-Hausdorff-vague topology and satisfies a uniform volume doubling condition, we show the convergence of corresponding Brownian motions and local times. As a corollary of this, we obtain the convergence of time-changed processes. Examples of our main results include scaling limits of Liouville Brownian motion, the Bouchaud trap model and the random conductance model on trees and self-similar fractals. For the latter two models, we show that under some assumptions the limiting process is a FIN diffusion on the relevant space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-07T19:16:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J35",
      "60J55",
      "28A80",
      "60J10",
      "60J45",
      "60K37"
    ],
    "keywords": [
      "resistance forms",
      "stochastic processes",
      "time-changes",
      "uniform volume doubling condition",
      "bouchaud trap model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}