Citation
An. Quas et Pb. Trow, Subshifts of multi-dimensional shifts of finite type, ERGOD TH DY, 20, 2000, pp. 859-874
Citations number
8
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857
→ ACNP
Volume
20
Year of publication
2000
Part
3
Pages
859 - 874
Database
ISI
SICI code
0143-3857(200006)20:<859:SOMSOF>2.0.ZU;2-8
Abstract
We show that every shift of finite type X with positive entropy has proper
subshifts of finite type with entropy strictly smaller than the entropy of
X, but with entropy arbitrarily close to the entropy of X. Consequently, X
contains an infinite chain of subshifts of finite type which is strictly de
creasing in entropy.