{ "id": "1311.4371", "version": "v1", "published": "2013-11-18T13:31:27.000Z", "updated": "2013-11-18T13:31:27.000Z", "title": "Scaling of the Thue-Morse diffraction measure", "authors": [ "Michael Baake", "Uwe Grimm", "Johan Nilsson" ], "comment": "4 pages, 1 figure. Contribution to ICQ12", "categories": [ "math-ph", "math.MP" ], "abstract": "We revisit the well-known and much studied Riesz product representation of the Thue-Morse diffraction measure, which is also the maximal spectral measure for the corresponding dynamical spectrum in the complement of the pure point part. The known scaling relations are summarised, and some new findings are explained.", "revisions": [ { "version": "v1", "updated": "2013-11-18T13:31:27.000Z" } ], "analyses": { "subjects": [ "37B10", "52C23", "42A16" ], "keywords": [ "thue-morse diffraction measure", "pure point part", "riesz product representation", "maximal spectral measure", "corresponding dynamical spectrum" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.4371B" } } }