Corrigendum and addendum to: Linearly recurrent subshifts have a finite number of non-periodic factors

Fabien Durand (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

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).

Mots clés: linearly recurrent; subshift; S-adic

Domaines: Systèmes dynamiques [math.DS]

Fabien Durand. Corrigendum and addendum to: Linearly recurrent subshifts have a finite number of non-periodic factors. Ergodic Theory and Dynamical Systems, 2003, 23 (2), pp.663-669. ⟨hal-00309505⟩