报 告 人：石志岩 江苏大学
报告时间：2020年10月24日 9:00-12:00
地 点：腾讯会议 （ID： 764 150 809）
摘 要：Asymptotic Equipartition Property (AEP) is a basic theorem in information theory. In this talk, we firstly review the AEP for nonhomogeneous Markov chains and tree indexed Markov chains. Meanwhile, we introduce the definition of tree-indexed Markov chains in random environment, which takes values in a general state space. We also prove the existence of this stochastic process, and develop a class of its equivalent forms. Based on this property, the AEP are studied for the tree-indexed Markov chains in Markovian environment
报告人简介
石志岩, 江苏大学副教授, 主要从事概率极限理论及信息论等方面的研究。目前主要研究兴趣为树指标随机过程等极限理论，相关研究成果在IEEE Transactions on Information Theory，Probability in the Engineering and informational Sciences，Statistics & Probability Letters等期刊发表论文10余篇；近年来主持国家自然科学基金青年基金1项，天元基金1项，江苏省科协青年托举人才项目1项.
