报告题目： The AEP Theorem for Tree Indexed Markov Chains in Random Environment
报告人：江苏大学石志岩副教授
摘要：In this talk, we introduce the tree-indexed Markov chains in random environment, which takes values in a general state space. Then, we prove the existence of this stochastic process, and develop a class of its equivalent forms. Finally, we prove the strong law of large numbers and Shannon-McMillan theorem for Markov chains indexed by a Cayley tree in a Markovian environment with countable state space.
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.
报告时间：2019年9月25日（周三）下午3:30-4:30
报告地点：9教326
欢迎感兴趣的老师和同学参加！
