Jung-Chao Ban

activity

20092025

most citedMixing properties of tree-shifts

11 citations · 63 across the 35 of their papers we have counts for

collaborators

Showing 2024Show all

5 papers · 1 filter

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

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 $ω$ -limit sets and pseudo orbits for a tree-shift defined on a Markov-Cayley tree, extending the results of tree-shifts defined on $d$ -t…

math.DS2024

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 $N^{d}$ and the $d$ -tree $T^{d}$ of two types of systems: the subshift and the multiplicative subshift.

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.PR2024

Hausdorff dimensions of irreducible Markov hom tree-shifts

Jung-Chao Ban, Guan-Yu Lai, Yu-Liang Wu

This paper features a Cramér's theorem for finite-state Markov chains indexed by rooted $d$ -trees, obtained via the method of types in the classical analysis of large deviations. A…

On the independence of shifts defined on Nd and trees

Limit sets, internal chain transitivity and orbital shadowing of tree-shifts defined on Markov-Cayley trees

Entropy of axial product of multiplicative subshifts

Hausdorff dimensions of affine multiplicative subshifts

Hausdorff dimensions of irreducible Markov hom tree-shifts

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