Title. ENTROPY OF TREE SHIFTS OF FINITE TYPE

Abstract.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 either0orln2. 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.

报 告 人：班荣超 教授台湾国立东华大学

报告时间：2015年9月7日（星期一）下午3：00

报告地点：数学科学学院38号楼报告厅

主办单位：数学科学学院

欢迎广大师生参加！