Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems
Dynamical Systems
2008-01-31 v1
Abstract
We give necessary and sufficient conditions to have measurable and continuous eigenfunctions for linearly recurrent Cantor dynamical systems. We also construct explicitly an example of linearly recurrent system with nontrivial Kronecker factor and a trivial maximal equicontinuous factor.
Cite
@article{arxiv.0801.4619,
title = {Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems},
author = {Xavier Bressaud and Fabien Durand and Alejandro Maass},
journal= {arXiv preprint arXiv:0801.4619},
year = {2008}
}
Comments
18 pages