Propagation of chaos and Poincaré inequalities for a system of particles interacting through their cdf

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dc.creatorJourdain, Benjamin
dc.creatorMalrieu, Florent
dc.date2007-01-30
dc.date2008-11-14
dc.date.accessioned2026-07-07T10:18:06Z
dc.date.available2026-07-07T10:18:06Z
dc.descriptionIn the particular case of a concave flux function, we are interested in the long time behaviour of the nonlinear process associated to the one-dimensional viscous scalar conservation law. We also consider the particle system obtained by remplacing the cumulative distribution function in the drift coefficient of this nonlinear process by the empirical cdf. We first obtain trajectorial propagation of chaos result. Then, Poincaré inequalities are used to get explicit estimates concerning the long time behaviour of both the nonlinear process and the particle system.
dc.identifierhttps://arxiv.org/abs/math/0701879
dc.identifierhttp://arxiv.org/abs/math/0701879
dc.identifierThe Annals of Applied Probability 18, 5 (2008) 1706-1736
dc.identifierdoi:10.1214/07-AAP513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174079
dc.subjectProbability
dc.subject65C35, 60K35, 60E15, 35K15, 46N30
dc.titlePropagation of chaos and Poincaré inequalities for a system of particles interacting through their cdf
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