On a Class of Discrete Generation Interacting Particle Systems

P. Del Moral (Univ. P. Sabatier)
M. A. Kouritzin (University of Alberta)
L. Miclo (Univ. P. Sabatier)

Abstract


The asymptotic behavior of a general class of discrete generation interacting particle systems is discussed. We provide Lp-mean error estimates for their empirical measure on path space and present sufficient conditions for uniform convergence of the particle density profiles with respect to the time parameter. Several examples including mean field particle models, genetic schemes and McKean's Maxwellian gases will also be given. In the context of Feynman-Kac type limiting distributions we also prove central limit theorems and we start a variance comparison for two generic particle approximating models.

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Pages: 1-26

Publication Date: May 16, 2001

DOI: 10.1214/EJP.v6-89

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