题目：Some researches on the asymptotic equipartition property (AEP) in information theory
主讲人：杨卫国 江苏大学 教授
In about 20 years, we have done many works about AEP in information theory. We have obtained some AEP and generalized AEP for a class of finite and countable nonhomogeneous Markov chains and a class of m-th order nonhomogeneous Markov chains; we have also obtained some AEP for a class of homogeneous and nonhomogeneous Markov chains indexed by trees. Recently, we obtained AEP for nonhomogeneous bifurcating Markov chains indexed by binary tree and AEP for hidden Markov tree models. In this talk, we introduce those works.