Name
Abstract | ||
|---|---|---|
We study the topological entropy of hom tree-shifts and show that, although the topological entropy is not a conjugacy invariant for tree-shifts in general, it remains invariant for hom tree higher block shifts. In [16], [17], Petersen and Salama demonstrated the existence of topological entropy for tree-shifts and h(TX)≥h(X), where TX is the hom tree-shift derived from X. We characterize a necessary and sufficient condition when the equality holds for the case where X is a shift of finite type. Additionally, two novel phenomena have been revealed for tree-shifts. There is a gap in the set of topological entropy of hom tree-shifts of finite type, making such a set not dense. Last but not least, the topological entropy of a reducible hom tree-shift of finite type can be strictly larger than that of its maximal irreducible component. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.tcs.2022.07.007 | Theoretical Computer Science |
Keywords | DocType | Volume |
Tree-SFT,Topological entropy | Journal | 930 |
ISSN | Citations | PageRank |
0304-3975 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jung-Chao Ban | 1 | 0 | 0.34 |
| Chih-Hung Chang | 2 | 233 | 44.07 |
| Wen-Guei Hu | 3 | 0 | 0.34 |
| Yu-Liang Wu | 4 | 0 | 0.34 |