{ "id": "1902.06210", "version": "v1", "published": "2019-02-17T06:19:10.000Z", "updated": "2019-02-17T06:19:10.000Z", "title": "Hydrostatic limit for exclusion process with slow boundary revisited", "authors": [ "Kenkichi Tsunoda" ], "comment": "12 pages", "categories": [ "math.PR" ], "abstract": "We revisit in this short article the hydrostatic limit for the exclusion process with slow boundary. The original proof of this result relies on estimates of the correlation functions. We achieve the same result based on analysis of two different time scales, which do not need any information about the correlation functions.", "revisions": [ { "version": "v1", "updated": "2019-02-17T06:19:10.000Z" } ], "analyses": { "subjects": [ "60K35", "82C22" ], "keywords": [ "exclusion process", "slow boundary", "hydrostatic limit", "correlation functions", "short article" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }