Guan‐Yu Lai

collaborators

4 papers

math.DS2024

On the independence of shifts defined on $N^{d}$ and trees

Jung-Chao Ban, Guan-Yu Lai

In this paper, we study the independence of shifts defined on $N^{d}$ ( $N^{d}$ shift) and trees (tree-shift). Firstly, for the completeness of the article, we provide…

math.DS2024

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 $N$ .

math.DS2023

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…

math.DS2023

The entropy structures of axial products on $N^{d}$ and Trees

Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai

In this paper, we first concentrate on the possible values and dense property of entropies for isotropic and anisotropic axial products of subshifts of finite type (SFTs) on $\math…

On the independence of shifts defined on Nd and trees

Hausdorff dimensions of affine multiplicative subshifts

The strip entropy approximation of Markov shifts on trees

The entropy structures of axial products on Nd and Trees

On the independence of shifts defined on $N^{d}$ and trees

The entropy structures of axial products on $N^{d}$ and Trees