An analogue of topological sequence entropy for Markov hom tree-shifts
Ban, Jung-Chao; Chang, Chih-Hung; Hu, Wen-Guei; Lai, Guan-Yu; Wu, Yu-Liang (2022-12-12)
Ban, Jung-Chao
Chang, Chih-Hung
Hu, Wen-Guei
Lai, Guan-Yu
Wu, Yu-Liang
Polish Academy of Sciences
12.12.2022
Ban, J.-C., Chang, C.-H., Hu, W.-G., Lai, G.-Y., & Wu, Y.-L. (2023). An analogue of topological sequence entropy for Markov hom tree-shifts. Studia Mathematica, 270(3), 263–283. https://doi.org/10.4064/sm220426-13-10
https://creativecommons.org/licenses/by/4.0/
© 2023 Instytut Matematyczny PAN. Authors retain the right to distribute their author accepted manuscript under a CC-BY license.
https://creativecommons.org/licenses/by/4.0/
© 2023 Instytut Matematyczny PAN. Authors retain the right to distribute their author accepted manuscript under a CC-BY license.
https://creativecommons.org/licenses/by/4.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2023081797522
https://urn.fi/URN:NBN:fi-fe2023081797522
Tiivistelmä
Abstract
In this article, an analogue \(h^S_{\rm top}\) of topological sequence entropy is defined for Markov hom tree-shifts. We explore various aspects of \(h^S_{\rm top}\), including the existence of the limit in the definition, its relationship to topological entropy, a full characterization of null systems (with zero \(h^S_{\rm top}\) for any \(S\)), and the upper bound as well as denseness of all possible values. The relationship between this quantity and a variant called induced entropy is also breifly discussed.
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