{ "id": "1407.1787", "version": "v1", "published": "2014-07-07T17:59:37.000Z", "updated": "2014-07-07T17:59:37.000Z", "title": "Equicontinuous factors, proximality and Ellis semigroup for Delone sets", "authors": [ "Jean-baptiste Aujogue", "Marcy Barge", "Johannes Kellendonk", "Daniel Lenz" ], "comment": "65 pages", "categories": [ "math.DS" ], "abstract": "We discuss the application of various concepts from the theory of topological dynamical systems to Delone sets and tilings. We consider in particular, the maximal equicontinuous factor of a Delone dynamical system, the proximality relation and the enveloping semigroup of such systems.", "revisions": [ { "version": "v1", "updated": "2014-07-07T17:59:37.000Z" } ], "analyses": { "subjects": [ "37B50", "52C22" ], "keywords": [ "delone sets", "ellis semigroup", "delone dynamical system", "maximal equicontinuous factor", "proximality relation" ], "note": { "typesetting": "TeX", "pages": 65, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.1787A" } } }