On the existence of open and bi-continuing codes
Dynamical Systems
2013-11-26 v2
Abstract
Given an irreducible sofic shift X, we show that an an irreducible SFT Y of lower entropy is a factor of X if and only if it is a factor of X by an open bi-continuing code. If these equivalent conditions hold and Y is mixing, then any code from a proper subshift of X to Y can be extended to an open bi-continuing code on X. These results are still valid when X is assumed to be only an almost specified shift, i.e., a subshift satisfying an irreducible version of the specification property.
Keywords
Cite
@article{arxiv.0810.4632,
title = {On the existence of open and bi-continuing codes},
author = {Uijin Jung},
journal= {arXiv preprint arXiv:0810.4632},
year = {2013}
}
Comments
20 pages, 3 figures. v2: minor revision. typos corrected. Final version to appear in Transactions AMS