3 citations · 3 across the 3 of their papers we have counts for
8 papers
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…
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…
An Application of Nash-Moser Theorem to Smooth Solutions of One-Dimensional Compressible Euler Equation with Gravity
Cheng-Hsiung Hsu, Song-Sun Lin, Tetu Makino +1
We study one-dimensional motions of polytropic gas governed by the compressible Euler equations. The problem on the half space under a constant gravity gives an equilibrium which h…