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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.
Cited literature [59 references]
https://hal.archives-ouvertes.fr/hal-01097576
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
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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