標題: 平面網格雙色頂點著色的正熵問題
Positivity of Spatial Entropy in Plane Corner Coloring with Two Symbols
作者: 林瑜堯
Lin, Yu-Yao
林松山
應用數學系所
關鍵字: 平面網格雙色頂點著色的正熵問題;Positivity of Spatial Entropy
公開日期: 2011
摘要: 本篇論文討論給定一個頂點著色地磚(tiles)集合,熵(spatial entropy)是正值或零並非由集合裡的最小週期生成子集(minimal cycle generators)決定;考慮一個最小週期生成子集的聯集並且其熵為零。在此聯集中加入tiles而不產生新的最小週期生成子集後,熵可能會由零轉變為正值。
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.
URI: http://140.113.39.130/cdrfb3/record/nctu/#GT079822508
http://hdl.handle.net/11536/47508
顯示於類別:畢業論文