Mixing properties of tree-shifts
2017; American Institute of Physics; Volume: 58; Issue: 11 Linguagem: Inglês
10.1063/1.5011339
ISSN1527-2427
AutoresJung-Chao Ban, Chih-Hung Chang,
Tópico(s)Theoretical and Computational Physics
ResumoThe uncertainty of multidimensional shift spaces draws attracted attention of researchers. For example, the emptiness problem is undecidable; there exist aperiodic shifts of finite type; there is a nonempty shift of finite type exhibiting nonextensible local patterns. This paper investigates symbolic dynamics on Cayley trees and gives affirmative answers to the above questions in tree-shifts. Beyond that, with introducing block gluing tree-shift, a sufficient condition of exhibiting positive topological entropy is revealed.
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