{ "id": "1005.2036", "version": "v2", "published": "2010-05-12T10:11:25.000Z", "updated": "2010-12-01T10:34:55.000Z", "title": "A Classification of Deterministic Hunt Processes with Some Applications", "authors": [ "Alexander Schnurr" ], "comment": "18 pages, 9 figures", "journal": "Markov Processes Relat. Fields 17(2011), 259-276", "categories": [ "math.PR" ], "abstract": "Deterministic processes form an important building block of several classes of processes. We provide a method to classify deterministic Hunt processes. Within this framework we characterize different subclasses (e.g. Feller) and construct some (counter-)examples. In particular the existence of a Hunt semimartingale (on R) which is not an It\\^o process in the sense of Cinlar, Jacod, Protter and Sharpe (1980) is proven.", "revisions": [ { "version": "v2", "updated": "2010-12-01T10:34:55.000Z" } ], "analyses": { "subjects": [ "60J25", "60J35", "47G30" ], "keywords": [ "classification", "applications", "deterministic processes form", "classify deterministic hunt processes", "important building block" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1005.2036S" } } }