{ "id": "0704.1495", "version": "v1", "published": "2007-04-11T21:54:42.000Z", "updated": "2007-04-11T21:54:42.000Z", "title": "Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms", "authors": [ "Arvind Ayyer", "Mikko Stenlund" ], "comment": "15 pages, 1 figure", "journal": "Chaos 17, 043116 (2007)", "doi": "10.1063/1.2785145", "categories": [ "math.DS", "math-ph", "math.MP" ], "abstract": "We consider pairs of toral automorphisms (A,B) satisfying an invariant cone property. At each iteration, A acts with probability p and B with probability 1-p. We prove exponential decay of correlations for a class of Holder continuous observables.", "revisions": [ { "version": "v1", "updated": "2007-04-11T21:54:42.000Z" } ], "analyses": { "subjects": [ "37A25", "37H15", "37D20", "02.50.Cw", "02.60.-x", "02.10.Yn" ], "keywords": [ "randomly chosen hyperbolic toral automorphisms", "exponential decay", "correlations", "invariant cone property", "probability" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Chaos", "year": 2007, "month": "Dec", "volume": 17, "number": 4, "pages": "043116" }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007Chaos..17d3116A" } } }