Entropy of subordinate shift spaces
Dynamical Systems
2018-02-01 v3 Combinatorics
Abstract
We introduce a new family of shift spaces --- the subordinate shifts. Using subordinate shifts we prove in an elementary way that for every nonnegative real number there is a shift space with entropy .
Keywords
Cite
@article{arxiv.1401.5969,
title = {Entropy of subordinate shift spaces},
author = {Marcin Kulczycki and Dominik Kwietniak and Jian Li},
journal= {arXiv preprint arXiv:1401.5969},
year = {2018}
}
Comments
Following the referee's suggestion we have split Entropy and independence in symbolic dynamics iton two parts. The present version contains the first part of that older preprint, and it is renamed accordingly. The rest will appear elsewhere. Accepted for publication in the American Mathematical Monthly