Name
Abstract | ||
|---|---|---|
We study two relations on multi-dimensional subshifts: A pre-order based on the patterns configurations contain and the Cantor-Bendixson rank. We exhibit several structural properties of two-dimensional subshifts: We characterize the simplest aperiodic configurations in countable SFTs, we give a combinatorial characterization of uncountable subshifts, we prove that there always exists configurations without any periodicity but that have the simplest possible combinatorics in countable SFTs. Finally, we prove that some Cantor-Bendixson ranks are impossible for countable SFTs, leaving only a few unknown cases. |
Year | Venue | Field |
|---|---|---|
2013 | CoRR | Discrete mathematics,Multi dimensional,Countable set,Uncountable set,Pure mathematics,Aperiodic graph,Structuring,Mathematics |
DocType | Volume | Citations |
Journal | abs/1309.6289 | 1 |
PageRank | References | Authors |
0.48 | 8 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexis Ballier | 1 | 25 | 4.01 |
| Emmanuel Jeandel | 2 | 123 | 20.06 |