{ "id": "math/9701223", "version": "v1", "published": "1997-01-23T00:00:00.000Z", "updated": "1997-01-23T00:00:00.000Z", "title": "Markov chains in a field of traps", "authors": [ "Robin Pemantle", "Stanislav Volkov" ], "categories": [ "math.PR" ], "abstract": "A general criterion is given for when a Markov chain trapped with probability p(x) in state x will be almost surely trapped. The quenched (state x is a trap forever with probability p(x)) and annealed (state x traps with probability p(x) on each visit) problems are shown to be equivalent.", "revisions": [ { "version": "v1", "updated": "1997-01-23T00:00:00.000Z" } ], "analyses": { "keywords": [ "probability", "general criterion", "trap forever", "markov chain" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997math......1223P" } } }