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The convergence of doubly stochastic Markov chains [r-libre/2816]

Bouthat, Ludovick; Doyon, Nicolas; Mashreghi, Javad, & Morneau-Guérin, Frédéric (Dec 2022). The convergence of doubly stochastic Markov chains. Paper (invited) presented at the Session "Analyse matricielle et théorie des opérateurs" de la réunion d'hiver 2022 de la Société mathématique du Canada, Toronto.

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Content : Slideshow
Item Type: Conference papers (unpublished)
Refereed: Yes
Status: Unpublished
Abstract: In recent years, some interest has been devoted to studying doubly stochastic Markov chains. These chains appears naturally in many real-life applications such as quantum measurements. In this note, we proceed to characterize the asymptotic behavior of an homogeneous doubly stochastic Markov chains. In particular, we characterize the doubly stochastic matrices whose associated Markov chain (1) describes a cycle; (2) converges to a given matrix; and (3) diverges. We also provide a new sufficient condition for the infinite product of doubly stochastic matrices
Official URL: https://winter22.cms.math.ca/
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 07 Dec 2022 16:40
Last Modified: 01 Jan 2024 06:15

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