標題: | 左輸帶的特徵值之研究 Eigenvalues of Left Regular Bands |
作者: | 戴克倫 翁志文 Tai, Ke-Lun Weng, Chih-Wen 應用數學系所 |
關鍵字: | 半群;左輸帶;隨機漫步;轉移矩陣;特徵值;Semigroup;LRB;random walk;transition matrix;eigenvalue |
公開日期: | 2015 |
摘要: | 左輸帶是半群的一種特例,本篇論文介紹左輸帶的定義並給兩個重要的例
子。如對左輸帶內的元素給定機率分佈,可由其隨機漫步得到轉移矩陣,其特徵
值與重數的性質探討為本論文之重點,我們介紹一個已知結果並對照我們所做的
例子。 A left regular band (LRB) is a semigroup. We will give the definition and examples of LRBs. The transition matrix is defined from running random walks on an LRB with a given probability distribution. For a theorem of Brown, the eigenvalues of such a transition matrix are completely determined. We will check the theorem with our examples. |
URI: | http://etd.lib.nctu.edu.tw/cdrfb3/record/nctu/#GT070252227 http://hdl.handle.net/11536/138684 |
顯示於類別: | 畢業論文 |