{
  "id": "2111.08804",
  "version": "v3",
  "published": "2021-11-16T22:13:32.000Z",
  "updated": "2023-06-01T18:44:43.000Z",
  "title": "Additive functionals of exclusion processes from non-equilibrium",
  "authors": [
    "Luiz Renato Fontes",
    "Tiecheng Xu"
  ],
  "comment": "The main result of this paper is extended from occupation time to additive functionals. The title is changed. More details are added",
  "categories": [
    "math.PR"
  ],
  "abstract": "Consider the weakly asymmetric simple exclusion processes on the one-dimensional torus. We study the non-equilibrium fluctuation of a class of additive functionals, and show that its scaling limit is a Gaussian process. The proof is mainly based on the results obtained and techniques developed by Jara and Menezes [Non-equiliburim fluctuations of interacting particle systems, arXiv:1810.09526].",
  "revisions": [
    {
      "version": "v3",
      "updated": "2023-06-01T18:44:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "additive functionals",
      "weakly asymmetric simple exclusion processes",
      "one-dimensional torus",
      "non-equilibrium fluctuation",
      "gaussian process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}