5 papers
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…
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…