33 citations · 60 across the 24 of their papers we have counts for
9 papers · 2 filters
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…
Constant-length substitutions and countable scrambled sets
François Blanchard, Fabien Durand, Alejandro Maass
In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of Li-Yorke…
Limit laws of entrance times for low complexity Cantor minimal systems
Fabien Durand, Alejandro Maass
This paper is devoted to the study of limit laws of entrance times to cylinder sets for Cantor minimal systems of zero entropy using their representation by means of ordered Bratte…
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…