9 papers · 1 filter
Hausdorff dimensions of Beatty multiple shifts
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
In this paper, the Beatty multiple shift is introduced, which is a generalization of the multiplicative shift of finite type (multiple SFT) [Kenyon, Peres and Solomyak, Ergodic The…
On the independence of shifts defined on and trees
Jung-Chao Ban, Guan-Yu Lai
In this paper, we study the independence of shifts defined on ( shift) and trees (tree-shift). Firstly, for the completeness of the article, we provide…
Limit sets, internal chain transitivity and orbital shadowing of tree-shifts defined on Markov-Cayley trees
Jung-Chao Ban, Nai-Zhu Huang, Guan-Yu Lai
In this paper, we introduce the concepts of -limit sets and pseudo orbits for a tree-shift defined on a Markov-Cayley tree, extending the results of tree-shifts defined on -t…
Entropy of axial product of multiplicative subshifts
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai +1
We obtain the entropy and the surface entropy of the axial products on and the -tree of two types of systems: the subshift and the multiplicative subshift.
Hausdorff dimensions of affine multiplicative subshifts
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai +1
We calculate the Minkowski and Hausdorff dimensions of affine multiplicative subshifts on .
The strip entropy approximation of Markov shifts on trees
Jung-Chao Ban, Guan-Yu Lai, Cheng-Yu Tsai
The strip entropy is studied in this article. We prove that the strip entropy approximation is valid for every ray of a golden-mean tree. This result extends the previous result of…