Positivity of Spatial Entropy in Plane Corner Coloring with Two Symbols

碩士 === 國立交通大學 === 應用數學系所 === 100 === In this paper we consider a given basic set of corner-coloring tiles, the spatial entropy is positive or zero cannot be determined by studying a union of minimal cycle generators. Consider a union of minimal cycle generators with zero entropy. If we add tiles int...

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Bibliographic Details
Main Authors: Lin, Yu-Yao, 林瑜堯
Other Authors: 林松山
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/23783441512180718920
Description
Summary:碩士 === 國立交通大學 === 應用數學系所 === 100 === In this paper we consider a given basic set of corner-coloring tiles, the spatial entropy is positive or zero cannot be determined by studying a union of minimal cycle generators. Consider a union of minimal cycle generators with zero entropy. If we add tiles into the union without producing new minimal cycle generators, then the spatial entropy possibly turns from zero to positive.