{ "id": "1507.07010", "version": "v1", "published": "2015-07-24T20:47:57.000Z", "updated": "2015-07-24T20:47:57.000Z", "title": "Towers for commuting endomorphisms, and combinatorial applications", "authors": [ "Artur Avila", "Pablo Candela" ], "comment": "13 pages", "categories": [ "math.DS", "math.CO" ], "abstract": "We give an elementary proof of a generalization of Rokhlin's lemma for commuting non-invertible measure-preserving transformations, and we present several combinatorial applications.", "revisions": [ { "version": "v1", "updated": "2015-07-24T20:47:57.000Z" } ], "analyses": { "keywords": [ "combinatorial applications", "commuting endomorphisms", "elementary proof", "rokhlins lemma" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150707010A" } } }