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May 2011 A stochastic min-driven coalescence process and its hydrodynamical limit
Anne-Laure Basdevant, Philippe Laurençot, James R. Norris, Clément Rau
Ann. Inst. H. Poincaré Probab. Statist. 47(2): 329-357 (May 2011). DOI: 10.1214/09-AIHP349


A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalized version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.

L’évolution d’un système aléatoire de particules est étudiée lorsque la taille des particules croît par coagulation binaire, chaque réaction de coagulation impliquant nécessairement une particule de taille minimale. Nous montrons qu’une version renormalisée du processus stochastique associé converge vers une limite déterministe et étudions l’évolution temporelle de la taille minimale pour les modèles stochastique et déterministe.


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Anne-Laure Basdevant. Philippe Laurençot. James R. Norris. Clément Rau. "A stochastic min-driven coalescence process and its hydrodynamical limit." Ann. Inst. H. Poincaré Probab. Statist. 47 (2) 329 - 357, May 2011.


Published: May 2011
First available in Project Euclid: 23 March 2011

zbMATH: 1216.82024
MathSciNet: MR2814413
Digital Object Identifier: 10.1214/09-AIHP349

Primary: 34A34, 34C11, 60H10, 60K35, 82C22

Rights: Copyright © 2011 Institut Henri Poincaré


Vol.47 • No. 2 • May 2011
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