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Bouthat, Ludovick, Doyon, Nicolas, Mashreghi, Javad et Morneau-Guérin, Frédéric 
ORCID: https://orcid.org/0000-0001-7610-4648
(2026).
On the convergence of doubly stochastic Markov chains. Publicacions Matemàtiques, 70 (2), 421-444. 10.5565/PUBLMAT7022606
![[thumbnail of 7022606.pdf]](https://r-libre.teluq.ca/style/images/fileicons/pdf.png "7022606.pdf")
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Content : Published Version |
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| Item Type: | Journal Articles |
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| Refereed: | Yes |
| Status: | Published |
| Abstract: | We characterize the asymptotic behavior of time-homogeneous doubly stochastic Markov chains. Our investigation revolves around understanding the dynamics of products of doubly stochastic matrices, which in turn allows us to fully characterize three distinct behaviors: cyclicity, convergence towards a special equilibrium matrix, and divergence. Notably, we introduce a novel and comprehensive sufficient condition for the convergence of an infinite product of doubly stochastic matrices. |
| Official URL: | https://mat.uab.cat/pubmat/volums/navegador |
| Depositor: | Morneau-Guérin, Frédéric |
| Owner / Manager: | Frédéric Morneau-Guérin |
| Deposited: | 23 Feb 2026 16:32 |
| Last Modified: | 17 Jun 2026 11:28 |
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