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

Published online by Cambridge University Press:  22 September 2003

FABIEN DURAND
FABIEN DURAND
Affiliation:
Laboratoire Amiénois de Mathématiques Fondamentales et Appliquées, CNRS-UMR 6140, Université de Picardie Jules Verne, 33 rue Saint Leu, 80039 Amiens Cedex 01, France (e-mail: fabien.durand@u-picardie.fr)
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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 (Ergod. Th. &: Dynam. Sys.20 (2000), 1061–1078).

Type
Addendum
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 2 , April 2003 , pp. 663 - 669
Copyright
2003 Cambridge University Press

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