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