{ "id": "0808.0868", "version": "v1", "published": "2008-08-06T16:12:58.000Z", "updated": "2008-08-06T16:12:58.000Z", "title": "Corrigendum and addendum to: Linearly recurrent subshifts have a finite number of non-periodic factors", "authors": [ "Fabien Durand" ], "journal": "Ergodic Theory and Dynamical Systems 23 (2003) 663-669", "categories": [ "math.DS" ], "abstract": "We prove that a subshift $(X,T)$ is linearly recurrent if and only if it is a primitive and proper $S$-adic subshift. This corrects Proposition 6 in F. Durand ({\\it Ergod. Th. & Dynam. Sys. {\\bf 20}} (2000), 1061--1078).", "revisions": [ { "version": "v1", "updated": "2008-08-06T16:12:58.000Z" } ], "analyses": { "subjects": [ "37B10" ], "keywords": [ "linearly recurrent subshifts", "finite number", "non-periodic factors", "corrigendum", "adic subshift" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.0868D" } } }