演講公告

演講主題：Entropy of tree shifts of finite type
主講人：班榮超教授 (國立東華大學應用數學系)
演講日期：2016 年5月10日(星期二) 14:00 - 15:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
This talk studies the entropy of tree shifts of finite type with and without boundary conditions. We demonstrate that computing the entropy of a tree shift of finite type is equivalent to solving a system of nonlinear recurrence equations. Furthermore, the entropy of binary Markov tree shifts defined on two symbols is either 0 or ln 2. Meanwhile, the realization of entropy of one-dimensional shifts of finite type is elaborated, which indicates that tree shifts are capable of rich phenomena. Considering the influence of three different types of boundary conditions, say, the periodic, Dirichlet, and Neumann boundary conditions, the necessary and sufficient condition for the coincidence of entropy with and without boundary condition are addressed.
相關檔案：Talk_1050510.doc

$返回$ go back