{ "id": "1106.5692", "version": "v1", "published": "2011-06-28T14:52:52.000Z", "updated": "2011-06-28T14:52:52.000Z", "title": "An Application of Renewal Theorems to Exponential Moments of Local Times", "authors": [ "Leif Doering", "Mladen Savov" ], "comment": "6 pages, appeared in Electronic Communications in Probability 2010", "categories": [ "math.PR" ], "abstract": "In this note we explain two transitions known for moment generating functions of local times by means of properties of the renewal measure of a related renewal equation. The arguments simplify and strengthen results on the asymptotic behavior in the literature.", "revisions": [ { "version": "v1", "updated": "2011-06-28T14:52:52.000Z" } ], "analyses": { "keywords": [ "local times", "exponential moments", "renewal theorems", "application", "moment generating functions" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.5692D" } } }