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Some simple but challenging Markov processes

Abstract : In this note, we present few examples of Piecewise Deterministic Markov Processes and their long time behavior. They share two important features: they are related to concrete models (in biology, networks, chemistry,. . .) and they are mathematically rich. Their math-ematical study relies on coupling method, spectral decomposition, PDE technics, functional inequalities. We also relate these simple examples to recent and open problems.
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Contributor : Florent Malrieu Connect in order to contact the contributor
Submitted on : Friday, December 19, 2014 - 11:04:44 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:08 PM
Long-term archiving on: : Monday, March 23, 2015 - 6:42:38 PM

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Florent Malrieu. Some simple but challenging Markov processes. Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2015, 24 (4), pp.857-883. ⟨10.5802/afst.1468⟩. ⟨hal-01097576⟩

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