{ "id": "0910.4088", "version": "v1", "published": "2009-10-21T13:36:42.000Z", "updated": "2009-10-21T13:36:42.000Z", "title": "Tunneling and Metastability of continuous time Markov chains", "authors": [ "Johel Beltrán", "Claudio Landim" ], "categories": [ "math.PR" ], "abstract": "We propose a new definition of metastability of Markov processes on countable state spaces. We obtain sufficient conditions for a sequence of processes to be metastable. In the reversible case these conditions are expressed in terms of the capacity and of the stationary measure of the metastable states.", "revisions": [ { "version": "v1", "updated": "2009-10-21T13:36:42.000Z" } ], "analyses": { "subjects": [ "60K35" ], "keywords": [ "continuous time markov chains", "metastability", "countable state spaces", "stationary measure", "markov processes" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s10955-010-0030-9", "journal": "Journal of Statistical Physics", "year": 2010, "month": "Sep", "volume": 140, "number": 6, "pages": 1 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010JSP...140....1B" } } }