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SOME SOFIC SHIFTS CANNOT COMMUTE WITH NONWANDERING SHIFTS OF FINITE TYPE
SOME SOFIC SHIFTS NONWANDERING SHIFTS FINITE TYPE
2015/9/29
Suppose S is a nonwandering shift of finite type (SFT), and T is an expansive automorphism of S. We show T cannot be a strictly sofic almost Markov shift. Also included is an example of D. Fiebig, a r...
MULTIDIMENSIONAL SOFIC SHIFTS WITHOUT SEPARATION AND THEIR FACTORS
MULTIDIMENSIONAL SOFIC SHIFTS WITHOUT SEPARATION THEIR FACTORS
2015/9/29
For d ≥ 2 we exhibit mixing Zd shifts of finite type and sofic shifts with large entropy but poorly separated subsystems (in the sofic examples, the only minimal subsystem is a single point). These ex...
A combinatorial substitution is a map over tilings which allows to define sets of tilings with a strong hierarchical structure. In this paper, we show that such sets of tilings are sofic, that is, can...