{ "id": "2006.16446", "version": "v1", "published": "2020-06-30T00:48:07.000Z", "updated": "2020-06-30T00:48:07.000Z", "title": "Variational Principles for the Exit Time of Non-symmetric Diffusions", "authors": [ "Lu-Jing Huang", "Kyung-Youn Kim", "Yong-Hua Mao" ], "comment": "18 pages", "categories": [ "math.PR" ], "abstract": "In this paper we develop some new variational principles for the exit time from a domain of non-symmetric diffusions in $\\R^d$. As applications, we give some comparison theorems and monotonicity law between different diffusions.", "revisions": [ { "version": "v1", "updated": "2020-06-30T00:48:07.000Z" } ], "analyses": { "subjects": [ "60J60", "60G40" ], "keywords": [ "exit time", "non-symmetric diffusions", "variational principles", "comparison theorems" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }