{
  "id": "1807.05414",
  "version": "v1",
  "published": "2018-07-14T15:57:38.000Z",
  "updated": "2018-07-14T15:57:38.000Z",
  "title": "Symmetric exclusion as a random environment: invariance principle",
  "authors": [
    "Milton Jara",
    "Otávio Menezes"
  ],
  "comment": "24 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish an invariance principle for a one-dimensional random walk in a dynamical random environment given by a speed-change exclusion process. The jump probabilities of the walk depend on the configuration of the exclusion in a finite box around the walker. The environment starts from equilibrium. After a suitable space-time rescaling, the random walk converges to a sum of two independent processes, a Brownian motion and a Gaussian process with stationary increments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-14T15:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37"
    ],
    "keywords": [
      "invariance principle",
      "symmetric exclusion",
      "random walk converges",
      "speed-change exclusion process",
      "one-dimensional random walk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}