(iv) Any syndetically transitive, infinite subshift is syndetically sensitive. Petr Krka Center for Theoretical Study, Academy of Sciences and Charles. We provide examples in terms of tilings of Zd by translations of a single tile. (iii) Any sensitive subshift of finite type is cofinitely sensitive Theorem 3. Cellular Automata with an Infinite Number of Subshift Attractors Download PDF. Download a PDF of the paper titled Equivariant maps to subshifts whose points have small stabilizers, by Anton Bernshteyn Download PDF Abstract: Let $\Gamma$ be a countably infinite group. As a subshift is known to be finite if all (d-1)-dimensional subspaces are expansive, we obtain a simple necessary condition on the periodizers that guarantees finiteness of a subshift or, equivalently, strong periodicity of a configuration. An infinite subshift is said to be Devaney chaotic (simply we say chaotic), if it is transitive and has a dense set of periodic points.
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