on derivatives and subpattern orders of countable subshifts
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ID: 184079
2012
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Abstract
We study the computational and structural aspects of countable two-dimensional SFTs and other subshifts. Our main focus is on the topological derivatives and subpattern posets of these objects, and our main results are constructions of two-dimensional countable subshifts with interesting properties. We present an SFT whose iterated derivatives are maximally complex from the computational point of view, a sofic shift whose subpattern poset contains an infinite descending chain, a family of SFTs whose finite subpattern posets contain arbitrary finite posets, and a natural example of an SFT with infinite Cantor-Bendixon rank.
| Reference Key |
salo2012electronicon
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| Authors | ;Ville Salo;Ilkka Törmä |
| Journal | ama journal of ethics |
| Year | 2012 |
| DOI |
10.4204/EPTCS.90.3
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