{ "id": "0704.2357", "version": "v1", "published": "2007-04-18T14:40:00.000Z", "updated": "2007-04-18T14:40:00.000Z", "title": "A new class of rank one transformations with singular spectrum", "authors": [ "El Houcein El Abdalaoui" ], "comment": "16 pages et 27 r\\'ef\\'erences", "categories": [ "math.DS" ], "abstract": "We introduce a new tool to study the spectral type of rank one transformations using the method of central limit theorem for trigonometric sums. We get some new applications.", "revisions": [ { "version": "v1", "updated": "2007-04-18T14:40:00.000Z" } ], "analyses": { "keywords": [ "singular spectrum", "transformations", "central limit theorem", "trigonometric sums", "spectral type" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0704.2357H" } } }