1 citations · 1 across the 14 of their papers we have counts for
15 papers
Exploring bosonic bound states with parallel reaction coordinates
Guan-Yu Lai, Friedemann Queißer, Gernot Schaller
Bound states are dissipation-resilient states that may emerge when quantum systems are strongly coupled to reservoirs with band gaps. We analyze an exactly solvable bosonic model f…
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 .
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 -trees, obtained via the method of types in the classical analysis of large deviations. A…
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…
The entropy structures of axial products on 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…
Boundary complexity and surface entropy of 2-multiplicative integer systems on
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) on (or on $\m…
On spatial entropy and periodic entropies of Two-dimensional Shifts of Finite Type
Wen-Guei Hu, Guan-Yu Lai, Song-Sun Lin
Topological entropy or spatial entropy is a way to measure the complexity of shift spaces. This study investigates the relationships between the spatial entropy and the various per…
Thermodynamic formalism and large deviation principle of multiplicative Ising models
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
The aim of this study is tree-fold. First, we investigate the thermodynamics of the Ising models with respect to 2-multiple Hamiltonians. This extends the previous results of [Chaz…
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 and its associated hom tree-shift $\mathcal{T}_…
Large Deviation Principle of Multidimensional Multiple Averages on
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai
This paper establishs the large deviation principle (LDP) for multiple averages on . We extend the previous work of [Carinci et al., Indag. Math. 2012] to multidimens…
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…