Quantitative speeds of convergence for exposure to food contaminants
Probability
2016-01-26 v2
Abstract
In this paper we consider a class of piecewise-deterministic Markov processes (PDMPs) 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.
Keywords
Cite
@article{arxiv.1310.3948,
title = {Quantitative speeds of convergence for exposure to food contaminants},
author = {Florian Bouguet},
journal= {arXiv preprint arXiv:1310.3948},
year = {2016}
}
Comments
20 pages