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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the limiting set of stochastic products $ xA\sb{1}\cdots A\sb{k}$


Author: D. J. Hartfiel
Journal: Proc. Amer. Math. Soc. 81 (1981), 201-206
MSC: Primary 15A51
DOI: https://doi.org/10.1090/S0002-9939-1981-0593457-5
MathSciNet review: 593457
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Abstract: In this paper we study the sequential limiting set $ L$ of the sequence $ {R_1}, \ldots ,{R_k} = \{ x{A_1} \ldots {A_k}\vert x$ is a stochastic vector, and $ {A_i}$ a stochastic matrix with $ P \leqslant {A_i} \leqslant Q$, for nonnegative matrices $ P$ and $ Q\} , \ldots $. We characterize $ L$ and provide some work on approximating $ L$.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0593457-5
Article copyright: © Copyright 1981 American Mathematical Society