{ "id": "1102.5049", "version": "v1", "published": "2011-02-24T17:51:06.000Z", "updated": "2011-02-24T17:51:06.000Z", "title": "Occupation Times for Jump Processes", "authors": [ "Brian M. Whitehead" ], "categories": [ "math.PR" ], "abstract": "We consider a class of pure jump Markov processes in $\\rr^d$ whose jump kernels are comparable to those of symmetric stable processes. We prove a support theorem, a lower bound on the occupation times of sets, and show that we can approximate resolvents using smooth functions.", "revisions": [ { "version": "v1", "updated": "2011-02-24T17:51:06.000Z" } ], "analyses": { "subjects": [ "60J75", "60J35", "60G52" ], "keywords": [ "occupation times", "jump processes", "pure jump markov processes", "jump kernels", "symmetric stable processes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.5049W" } } }