{ "id": "1102.3020", "version": "v4", "published": "2011-02-15T10:10:08.000Z", "updated": "2012-07-11T04:35:01.000Z", "title": "The Complete Convergence Theorem Holds for Contact Processes in a Random Environment on $Z^d\\times Z^+$", "authors": [ "Qiang Yao", "Xinxing Chen" ], "journal": "Stochastic Processes and their Applications 122 (2012) 3066-3099", "categories": [ "math.PR" ], "abstract": "In this article, we consider the basic contact process in a static random environment on the half space $Z^d\\times Z^+$ where the recovery rates are constants and the infection rates are independent and identically distributed random variables. We show that, for almost every environment, the complete convergence theorem holds. This is a generalization of the known result for the classical contact process in the half space case.", "revisions": [ { "version": "v4", "updated": "2012-07-11T04:35:01.000Z" } ], "analyses": { "subjects": [ "60K35" ], "keywords": [ "complete convergence theorem holds", "contact processes", "half space case", "basic contact process", "static random environment" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.3020Y" } } }