{ "id": "1510.03074", "version": "v1", "published": "2015-10-11T16:23:45.000Z", "updated": "2015-10-11T16:23:45.000Z", "title": "Nonsmooth mappings with Lipschitz shadowing", "authors": [ "A. Petrov", "S. Pilyugin" ], "comment": "13 pages", "categories": [ "math.DS" ], "abstract": "We study conditions under which a piecewise affine mapping has the Lipschitz shadowing property. As an application, we show that there exists a homeomorphism with a nonisolated fixed point having the Lipschitz shadowing property.", "revisions": [ { "version": "v1", "updated": "2015-10-11T16:23:45.000Z" } ], "analyses": { "keywords": [ "nonsmooth mappings", "lipschitz shadowing property", "study conditions", "piecewise affine" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151003074P" } } }