2 citations · 3 across the 14 of their papers we have counts for
10 papers · 1 filter
Corrigendum and addendum to: Linearly recurrent subshifts have a finite number of non-periodic factors
Fabien Durand
We prove that a subshift is linearly recurrent if and only if it is a primitive and proper -adic subshift. This corrects Proposition 6 in F. Durand ({\it Ergod. Th. & Dy…
Ergodic averages with deterministic weights
Fabien Durand, Dominique Schneider
The purpose of this paper is to study ergodic averages with deterministic weights. More precisely we study the convergence of the ergodic averages of the type $\frac{1}{N} \sum_{k=…
Linearly recurrent subshifts have a finite number of non-periodic subshift factors
Fabien Durand
A minimal subshift is linearly recurrent if there exists a constant so that for each clopen set generated by a finite word the return time to , with respect…
Substitutional dynamical systems, Bratteli diagrams and dimension groups
Fabien Durand, Bernard Host, Christian Skau
The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithm…
Linearly repetitive Delone systems have a finite number of non periodic Delone system factors
Maria Isabel Cortez, Fabien Durand, Samuel Petite
We prove linearly repetitive Delone systems have finitely many Delone system factors up to conjugacy. This result is also applicable to linearly repetitive tiling systems.
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems
Xavier Bressaud, Fabien Durand, Alejandro Maass
We give necessary and sufficient conditions to have measurable and continuous eigenfunctions for linearly recurrent Cantor dynamical systems. We also construct explicitly an exampl…