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Stationary probability vectors of higher-order two-dimensional transition probability tensors

发布时间:2018-03-28 13:23    浏览次数:    来源:雷渊

学术报告:黄正海教授(天津大学)
时间地点:3月30日下午3:00-4:00,数学院425报告厅
报告题目:Stationary probability vectors of higher-order two-dimensional transition probability tensors
报告摘要:In this talk, we investigate stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. We show that there are two special symmetric transition probability tensors of order $m$ dimension 2, which have and only have two stationary probability vectors; and any other symmetric transition probability tensor of order $m$ dimension 2 has a unique stationary probability vector. As a byproduct, we obtain that any symmetric transition probability tensor of order $m$ dimension 2 has a unique positive stationary probability vector; and that any symmetric irreducible transition probability tensor of order $m$ dimension 2 has a unique stationary probability vector.

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