9 citations · 15 across the 18 of their papers we have counts for
19 papers
On Type I blowup and -regularity criteria of suitable weak solutions to the 3D incompressible MHD equations
Wentao Hu, Zhengce Zhang
We study interior -regularity and Type I blowup criteria for suitable weak solutions to the three-dimensional incompressible MHD equations. Our starting point is a dir…
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…
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 .
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…
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…
Topological Entropy for Shifts of Finite Type Over 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…
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…
Spatial chaos of Wang tiles with two symbols
Jin-Yu Chen, Yu-Jie Chen, Wen-Guei Hu +1
This investigation completely classifies the spatial chaos problem in plane edge coloring (Wang tiles) with two symbols. For a set of Wang tiles , spatial chaos occurs…
Justifications of spatial entropies of multi-dimensional symbolic dynamical systems
Wen-Guei Hu, Song-Sun Lin
The commonly used spatial entropy of the multi-dimensional shift space is the limit of growth rate of admissible local patterns on finite rectang…
The natural measure of a symbolic dynamical system
Wen-Guei Hu, Song-Sun Lin
This study investigates the natural or intrinsic measure of a symbolic dynamical system . The measure of a pattern in …
Decidability of plane edge coloring with three colors
Hung-Hsun Chen, Wen-Guei Hu, De-Jan Lai +1
This investigation studies the decidability problem of plane edge coloring with three symbols. In the edge coloring (or Wang tiles) of a plane, unit squares with colored edges that…
Pattern generation problems arising in multiplicative integer systems
Jung-Chao Ban, Wen-Guei Hu, Song-Sun Lin
This study investigates a multiplicative integer system using a method that was developed for studying pattern generation problems. The entropy and the Minkowski dimensions of gene…
Verification of mixing properties in two-dimensional shifts of finite type
Jung-Chao Ban, Wen-Guei Hu, Song-Sun Lin +1
The degree of mixing is a fundamental property of a dynamical system. General multi-dimensional shifts cannot be systematically determined. This work introduces constructive and sy…