Entropy of subordinate shift spaces

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 $t$ there is a shift space with entropy $t$.

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

Cited by in corpus (1)

• On $\bar{d}$-approachability, entropy density and $\mathcal{B}$-free shifts