{ "id": "math/0511428", "version": "v2", "published": "2005-11-17T02:55:41.000Z", "updated": "2005-11-18T13:01:54.000Z", "title": "The variance of the Stirling cycle numbers", "authors": [ "Herbert S. Wilf" ], "categories": [ "math.CO" ], "abstract": "We show that the probability that two permutations of $n$ letters have the same number of cycles is \\[\\sim \\frac{1}{2\\sqrt{\\pi\\log{n}}}.\\]", "revisions": [ { "version": "v2", "updated": "2005-11-18T13:01:54.000Z" } ], "analyses": { "subjects": [ "05A16" ], "keywords": [ "stirling cycle numbers", "probability" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....11428W" } } }