5 papers
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.
Invariant measures of minimal post-critical sets of logistic maps
María Isabel Cortez, Juan Rivera-Letelier
We construct logistic maps whose restriction to the omega-limit set of its critical point is a minimal Cantor system having a prescribed number of distinct ergodic and invariant pr…
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems
Maria Isabel Cortez, Fabien Durand, Bernard Host +1
The class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitution subshifts and odometers measure--theoretical and continuous…
Self-similar tiling systems, topological factors and stretching factors
Maria Isabel Cortez, Fabien Durand
In this paper we prove that if two self-similar tiling systems, with respective stretching factors and , have a common factor which is a non periodic tiling system, then…
Rotation topological factors of minimal $\ZM^{d}$-actions on the cantor set
Maria Isabel Cortez, Jean-Marc Gambaudo, Alejandro Maass
In this paper we study conditions under which a free minimal $\mz^d$-action on the Cantor set is a topological extension of the action of rotations, either on the product $\mt^…