2012/02/23 by Bertoin, Jean
#FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.1202.5276
Smoluchowski's coagulation equations can be used as elementary mathematical models for the formation of polymers. We review here some recent contributions on a variation of this model in which the number of aggregations for each atom is a priori limited. Macroscopic results in the deterministic setting can be explained at the microscopic level by considering a version of stochastic coalescence with limited aggregations, which can be related to the so-called random configuration model of random graph theory.