{
  "id": "2101.02487",
  "version": "v1",
  "published": "2021-01-07T11:07:36.000Z",
  "updated": "2021-01-07T11:07:36.000Z",
  "title": "Quantitative ergodicity for the symmetric exclusion process with stationary initial data",
  "authors": [
    "L. Bertini",
    "N. Cancrini",
    "G. Posta"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the symmetric exclusion process on the $d$-dimensional lattice with translational invariant and ergodic initial data. It is then known that as $t$ diverges the distribution of the process at time $t$ converges to a Bernoulli product measure. Assuming a summable decay of correlations of the initial data, we prove a quantitative version of this convergence by obtaining an explicit bound on the Ornstein $\\bar d$-distance. The proof is based on the analysis of a two species exclusion process with annihilation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-07T11:07:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C20"
    ],
    "keywords": [
      "symmetric exclusion process",
      "stationary initial data",
      "quantitative ergodicity",
      "bernoulli product measure",
      "ergodic initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}