Systems with Almost Specification Property May Have Zero Entropy
Spectral Theory
2015-02-03 v1 Dynamical Systems
Abstract
It is shown that there exist systems having almost specification property and zero entropy. Since Sigmund has shown that systems with specification property must have positive entropy, this result reveals further the difference between almost specification and specification. Moreover, one can step on to obtain a both sufficient and necessary condition to ensure positive entropy.
Cite
@article{arxiv.1502.00482,
title = {Systems with Almost Specification Property May Have Zero Entropy},
author = {Yiwei Dong},
journal= {arXiv preprint arXiv:1502.00482},
year = {2015}
}
Comments
11 pages