## Electronic Journal of Probability

### On a Class of Discrete Generation Interacting Particle Systems

#### Abstract

The asymptotic behavior of a general class of discrete generation interacting particle systems is discussed. We provide $L_p$-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.

#### Article information

Source
Electron. J. Probab., Volume 6 (2001), paper no. 16, 26 pp.

Dates
Accepted: 16 May 2001
First available in Project Euclid: 19 April 2016

https://projecteuclid.org/euclid.ejp/1461097646

Digital Object Identifier
doi:10.1214/EJP.v6-89

Mathematical Reviews number (MathSciNet)
MR1873293

Zentralblatt MATH identifier
0991.60017

Rights

#### Citation

Del Moral, P.; Kouritzin, M.; Miclo, L. On a Class of Discrete Generation Interacting Particle Systems. Electron. J. Probab. 6 (2001), paper no. 16, 26 pp. doi:10.1214/EJP.v6-89. https://projecteuclid.org/euclid.ejp/1461097646

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