arXiv:1507.06879 [math.DS]AbstractReferencesReviewsResources
Eigenvalues of Toeplitz minimal systems of finite topological rank
Fabien Durand, Alexander Frank, Alejandro Maass
Published 2015-07-24Version 1
In this article we characterize measure theoretical eigenvalues of Toeplitz Bratteli-Vershik minimal systems of finite topological rank which are not associated to a continuous eigenfunction. Several examples are provided to illustrate the different situations that can occur.
Journal: Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2014, 30 p
DOI: 10.1017/etds.2014.45
Categories: math.DS
Keywords: finite topological rank, toeplitz minimal systems, toeplitz bratteli-vershik minimal systems, characterize measure theoretical eigenvalues, continuous eigenfunction
Tags: journal article
Related articles: Most relevant | Search more
arXiv:2304.04202 [math.DS] (Published 2023-04-09)
Continuous eigenfunctions of the transfer operator for the Dyson model
arXiv:2008.04186 [math.DS] (Published 2020-08-10)
On Topological Rank of Factors of Cantor Minimal Systems
arXiv:1506.07666 [math.DS] (Published 2015-06-25)
Non-homeomorphic topological rank and expansiveness