{ "id": "1611.07551", "version": "v1", "published": "2016-11-22T22:11:02.000Z", "updated": "2016-11-22T22:11:02.000Z", "title": "Maximal irreducibility measure for spatial birth-and-death processes", "authors": [ "Viktor Bezborodov", "Luca Di Persio" ], "categories": [ "math.PR" ], "abstract": "We prove that under certain general conditions on the birth and death rates the Lebesgue-Poisson measure is a maximal irreducibility measure for the spatial birth-and-death process.", "revisions": [ { "version": "v1", "updated": "2016-11-22T22:11:02.000Z" } ], "analyses": { "subjects": [ "60J25", "60J80" ], "keywords": [ "maximal irreducibility measure", "spatial birth-and-death process", "death rates", "lebesgue-poisson measure", "general conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }