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arXiv · 1412.7516

Some simple but challenging Markov processes

Florent Malrieu
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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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Florent Malrieu. 2014-12-23. Some simple but challenging Markov processes. https://arxiv.org/abs/1412.7516

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