{ "id": "math/9806132", "version": "v1", "published": "1998-06-23T20:52:57.000Z", "updated": "1998-06-23T20:52:57.000Z", "title": "Decay of correlations for non Hölderian dynamics. A coupling approach", "authors": [ "Xavier Bressaud", "Roberto Fernández", "Antonio Galves" ], "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We present an upper bound on the mixing rate of the equilibrium state of a dynamical systems defined by the one-sided shift and a non H\\\"{o}lder potential of summable variations. The bound follows from an estimation of the relaxation speed of chains with complete connections with summable decay, which is obtained via a explicit coupling between pairs of chains with different histories.", "revisions": [ { "version": "v1", "updated": "1998-06-23T20:52:57.000Z" } ], "analyses": { "subjects": [ "60K35" ], "keywords": [ "non hölderian dynamics", "coupling approach", "correlations", "upper bound", "equilibrium state" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......6132B" } } }