Cyclic Stationary Probability Distribution of Second Order Markov Chains and its Applications

发布日期:2021-04-29点击数:

报告人:刘冬冬(广东工业大学)

时间:2021年5月10日14:30开始

地点:理科楼LA106


摘要:In this talk, we define a cyclic stationary probability distribution equation for a second order Markov chain process in case that all states are independent each other, which improves the existing equation. There are two applications for the new model. First, the proposed model can be seen as a rank-$3$ approximation of a second order Markov chain with non-independent states. Secondly, unlike the previous tensor model, if the fixed point algorithm for solving the new model is convergent, the second order Markov chain process in the independent state converges. Furthermore, we investigate properties of the solutions for the proposed stationary equation.


简介:刘冬冬,2018年4月获澳门大学博士学位,2018年6月以“青年百人”人才计划被广东工业大学引进。美国数学会《数学评论》评论员,多个SCI杂志审稿人。申请人与团队关于张量互补问题的研究以及张量方程组的分裂算法的工作两篇论文截至2020年十一月/十二月为ESI高被引论文(前1%),主持省级基金两项,省部级实验室项目两项。


邀请人:李寒宇


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