Fabien Durand

Substitutional dynamical systems, Bratteli diagrams and dimension groups

The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithmic and explicit, and render an effective method to compute an invariant of (ordered)

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

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Continuous and Measurable Eigenfunctions of Linearly Recurrent Dynamical Cantor Systems

-theoretic nature for these systems. This new invariant is independent of spectral invariants which have previously been extensively studied. Before we state the main results we give some background.

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

A minimal subshift

Necessary and Sufficient Conditions to be an Eigenvalue for Linearly Recurrent Dynamical Cantor Systems

(X,T)

Constant-length substitutions and countable scrambled sets

is linearly recurrent if there exists a constant

Decidability of the HD0L ultimate periodicity problem

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On the eigenvalues of finite rank Bratteli-Vershik dynamical systems

so that for each clopen set

Syndeticity and independent substitutions

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DECIDABILITY OF UNIFORM RECURRENCE OF MORPHIC SEQUENCES

generated by a finite word