{ "id": "0712.1323", "version": "v1", "published": "2007-12-09T03:30:09.000Z", "updated": "2007-12-09T03:30:09.000Z", "title": "Aperiodic order via dynamical systems: Diffraction for sets of finite local complexity", "authors": [ "Daniel Lenz" ], "comment": "22 pages", "categories": [ "math.DS", "math-ph", "math.MP" ], "abstract": "We give an introduction into diffraction theory for aperiodic order. We focus on an approach via dynamical systems and the phenomenon of pure point diffraction. We review recent results and sketch proofs. We then present a new uniform Wiener/Wintner type result generalizing various earlier results of this type.", "revisions": [ { "version": "v1", "updated": "2007-12-09T03:30:09.000Z" } ], "analyses": { "keywords": [ "finite local complexity", "aperiodic order", "dynamical systems", "uniform wiener/wintner type result generalizing", "pure point diffraction" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.1323L" } } }