{ "id": "1412.0713", "version": "v1", "published": "2014-11-27T13:13:33.000Z", "updated": "2014-11-27T13:13:33.000Z", "title": "Some applications of numerosities in measure theory", "authors": [ "Vieri Benci", "Emanuele Bottazzi", "Mauro Di Nasso" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1212.6201", "categories": [ "math.LO", "math.FA", "math.PR" ], "abstract": "We present some applications of the notion of numerosity to measure theory, including the construction of a non-Archimedean model for the probability of infinite sequences of coin tosses.", "revisions": [ { "version": "v1", "updated": "2014-11-27T13:13:33.000Z" } ], "analyses": { "subjects": [ "26E30", "28E15", "26E35", "60A05" ], "keywords": [ "measure theory", "applications", "numerosity", "non-archimedean model" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.0713B" } } }