A stochastic min-driven coalescence process and its hydrodynamical limit
Basdevant, Anne-Laure ; Laurençot, Philippe ; Norris, James R. ; Rau, Clément
Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, p. 329-357 / Harvested from Project Euclid
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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.
Publié le : 2011-05-15
Classification:  Stochastic coalescence,  Min-driven clustering,  Hydrodynamical limit,  82C22,  60K35,  60H10,  34A34,  34C11 
@article{1300887272,
     author = {Basdevant, Anne-Laure and Lauren\c cot, Philippe and Norris, James R. and Rau, Cl\'ement},
     title = {A stochastic min-driven coalescence process and its hydrodynamical limit},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {47},
     number = {1},
     year = {2011},
     pages = { 329-357},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1300887272}
}

Basdevant, Anne-Laure; Laurençot, Philippe; Norris, James R.; Rau, Clément. A stochastic min-driven coalescence process and its hydrodynamical limit. Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, pp.  329-357. http://gdmltest.u-ga.fr/item/1300887272/