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LONG TIME BEHAVIOR OF MARKOV PROCESSES AND BEYOND

Abstract : This note provides several recent progresses in the study of long time behavior of Markov processes. The examples presented below are related to other scientific fields as PDE's, physics or biology. The involved mathematical tools as propagation of chaos, coupling, functional inequalities, provide a good picture of the classical methods that furnish quantitative rates of convergence to equilibrium.
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https://hal.archives-ouvertes.fr/hal-01178861
Contributor : Florent Malrieu Connect in order to contact the contributor
Submitted on : Tuesday, July 21, 2015 - 10:29:14 AM
Last modification on : Friday, May 20, 2022 - 9:04:42 AM
Long-term archiving on: : Thursday, October 22, 2015 - 10:32:31 AM

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Florian Bouguet, Florent Malrieu, Fabien Panloup, Christophe Poquet, Julien Reygner. LONG TIME BEHAVIOR OF MARKOV PROCESSES AND BEYOND. ESAIM: Proceedings, EDP Sciences, 2015, Modélisation Aléatoire et Statistique - Journées MAS 2014, 51, pp.193-211. ⟨10.1051/proc/201551011⟩. ⟨hal-01178861⟩

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