Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2000

Linearly recurrent subshifts have a finite number of non-periodic subshift factors

Résumé

A minimal subshift $(X,T)$ is linearly recurrent if there exists a constant $K$ so that for each clopen set $U$ generated by a finite word $u$ the return time to $U$, with respect to $T$, is bounded by $K|u|$. We prove that given a linearly recurrent subshift $(X,T)$ the set of its non-periodic subshift factors is finite up to isomorphism. We also give a constructive characterization of these subshifts.

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hal-00306716 , version 1 (28-07-2008)

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Fabien Durand. Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Ergodic Theory and Dynamical Systems, 2000, 20, pp.1061-1078. ⟨hal-00306716⟩
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