Subshifts of multi-dimensional shifts of finite type

Autor: Anthony Quas, Paul Trow
Rok vydání: 2000
Předmět:
Zdroj: Ergodic Theory and Dynamical Systems. 20:859-874
ISSN: 1469-4417
0143-3857
Popis: 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 decreasing in entropy.
Databáze: OpenAIRE