Jung-Chao Ban

activity

20092025

most citedMixing properties of tree-shifts

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

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32 papers · 1 filter

math.DS2025

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…

math.DS2025

Projected Spread Models

Jung-Chao Ban, Jyy-I Hong, Cheng-Yu Tsai +1

We present a disease transmission model that considers both explicit and non-explicit factors. This approach is crucial for accurate prediction and control of infectious disease sp…

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.DS2023

On the topological pressure of axial product on trees

Jung-Chao Ban, Yu-Liang Wu

This article investigates the topological pressure of isotropic axial products of Markov subshifts on the $d$ -tree. We show that the quantity increases with dimension $d$ . To achie…

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

Large deviation principle of Multiplicative Ising models on Markov-Cayley Trees

Jung-Chao Ban, Wen-Guei Hu, Zongfan Zhang

In this paper, we study the large deviation principle (LDP) for two types (Type I and Type II) of multiplicative Ising models. For Types I and II, the explicit formulas for the fre…

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…

math.DS2022★ 1 cited

Boundary complexity and surface entropy of 2-multiplicative integer systems on $N^{d}$

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

In this article, we introduce the concept of the boundary complexity and prove that for a 2-multiplicative integer system (2-MIS) $X_{Ω}^{p}$ on $N$ (or $X_{Ω}^{p}$ on $\m…

math.DS2021★ 6 cited

Stem and topological entropy on Cayley trees

Jung-Chao Ban, Chih-Hung Chang, Yu-Liang Wu +1

We consider the existence of the topological entropy of shift spaces on a finitely generated semigroup whose Cayley graph is a tree. The considered semigroups include free groups.…

math.DS2021

Characterization and Topological Behavior of Homomorphism Tree-Shifts

Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu +2

The purpose of this article is twofold. On one hand, we reveal the equivalence of shift of finite type between a one-sided shift $X$ and its associated hom tree-shift $\mathcal{T}_…

math.DS2021

On structure of topological entropy for tree-shift of finite type

J. -C. Ban, C. -H. Chang, W. -G. Hu +1

This paper deals with the topological entropy for hom Markov shifts $T_{M}$ on $d$ -tree. If $M$ is a reducible adjacency matrix with $q$ irreducible components $M_1, \cdots…

math.DS2020

Topological Entropy for Shifts of Finite Type Over $Z$ and Trees

Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu +1

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 fo…

math.DS2019

Topologically Mixing Properties of Multiplicative Integer System

Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu +2

Motivated from the study of multiple ergodic average, the investigation of multiplicative shift spaces has drawn much of interest among researchers. This paper focuses on the relat…

math.DS2019★ 3 cited

Decidability of irreducible tree shifts of finite type

Jung-Chao Ban, Chih-Hung Chang, Nai-Zhu Huang +1

We reveal an algorithm for determining the complete prefix code irreducibility (CPC-irreducibility) of dyadic trees labeled by a finite alphabet. By introducing an extended directe…

math.DS2018

Complexity of Shift Spaces on Semigroups

J. C. Ban, C. H. Chang, Y. Z. Huang

Let $G = ⟨ S ∣ R_{A} ⟩$ be a semigroup with generating set $S$ and equivalences $R_{A}$ among $S$ determined by a matrix $A$ . This paper investigates the comple…

math.DS2018★ 2 cited

On the topological entropy of subshifts of finite type on free semigroups

Jung-Chao Ban, Chih-Hung Chang

In this paper, we provide an effective method to compute the topological entropies of $G$ -subshifts of finite type ( $G$ -SFTs) with $G = F_{d}$ and $S_{d}$ , the free group and free se…

math.DS2018★ 1 cited

Topological Degree of Shift Spaces on Monoids

Jung-Chao Ban, Chih-Hung Chang, Nai-Zhu Huang

This paper considers the topological degree of $G$ -shifts of finite type for the case where $G$ is a nonabelian monoid. Whenever the Cayley graph of $G$ has a finite representation…

math.DS2017★ 3 cited

Coloring Fibonacci-Cayley tree: An application to neural networks

Jung-Chao Ban, Chih-Hung Chang

This paper investigates the coloring problem on Fibonacci-Cayley tree, which is a Cayley graph whose vertex set is the Fibonacci sequence. More precisely, we elucidate the complexi…

math.DS2017★ 4 cited

Entropy bifurcation of neural networks on Cayley trees

Jung-Chao Ban, Chih-Hung Chang, Nai-Zhu Huang

It has been demonstrated that excitable media with a tree structure performed better than other network topologies, it is natural to consider neural networks defined on Cayley tree…

math.DS2017★ 8 cited

Characterization for entropy of shifts of finite type on Cayley trees

Jung-Chao Ban, Chih-Hung Chang

The notion of tree-shifts constitutes an intermediate class in between one-sided shift spaces and multidimensional ones. This paper proposes an algorithm for computing of the entro…

math.DS2017★ 11 cited

Mixing properties of tree-shifts

Jung-Chao Ban, Chih-Hung Chang

The uncertainty of multidimensional shift spaces draws attracted attention of researchers. For example, the emptiness problem is undecidable; there exist aperiodic shifts of finite…

Hausdorff dimensions of Beatty multiple shifts

Projected Spread Models

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

On the topological pressure of axial product on trees

The strip entropy approximation of Markov shifts on trees

Large deviation principle of Multiplicative Ising models on Markov-Cayley Trees

The entropy structures of axial products on Nd and Trees

Boundary complexity and surface entropy of 2-multiplicative integer systems on Nd

Stem and topological entropy on Cayley trees

Characterization and Topological Behavior of Homomorphism Tree-Shifts

On structure of topological entropy for tree-shift of finite type

Topological Entropy for Shifts of Finite Type Over Z and Trees

Topologically Mixing Properties of Multiplicative Integer System

Decidability of irreducible tree shifts of finite type

Complexity of Shift Spaces on Semigroups

On the topological entropy of subshifts of finite type on free semigroups

Topological Degree of Shift Spaces on Monoids

Coloring Fibonacci-Cayley tree: An application to neural networks

Entropy bifurcation of neural networks on Cayley trees

Characterization for entropy of shifts of finite type on Cayley trees

Mixing properties of tree-shifts

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

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

Boundary complexity and surface entropy of 2-multiplicative integer systems on $N^{d}$

Topological Entropy for Shifts of Finite Type Over $Z$ and Trees