Quantitative speeds of convergence for exposure to food contaminants
Bouguet, Florian1
1 UMR 6625 CNRS Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France
ESAIM: Probability and Statistics, Tome 19 (2015), pp. 482-501.

In this paper, we consider a class of piecewise-deterministic Markov processes modeling the quantity of a given food contaminant in the body. On the one hand, the amount of contaminant increases with random food intakes and, on the other hand, decreases thanks to the release rate of the body. Our aim is to provide quantitative speeds of convergence to equilibrium for the total variation and Wasserstein distances via coupling methods.

Reçu le :
DOI : 10.1051/ps/2015002
Classification : 60J25, 60K15, 60B10
Mots-clés : Piecewise deterministic Markov processes, coupling, renewal Markov processes, convergence to equilibrium, exponential ergodicity, dietary contamination
Bouguet, Florian 1

1 UMR 6625 CNRS Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France 
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     zbl = {1343.60110},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ps/2015002/}
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Bouguet, Florian. Quantitative speeds of convergence for exposure to food contaminants. ESAIM: Probability and Statistics, Tome 19 (2015), pp. 482-501. doi : 10.1051/ps/2015002. http://www.numdam.org/articles/10.1051/ps/2015002/

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