English

Coagulation with limited aggregations

Probability 2012-02-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1202.5276,
  title  = {Coagulation with limited aggregations},
  author = {Jean Bertoin},
  journal= {arXiv preprint arXiv:1202.5276},
  year   = {2012}
}
R2 v1 2026-06-21T20:24:12.807Z