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

摘要

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).