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2010

A system of grabbing particles related to Galton-Watson trees

10 years 12 months ago
A system of grabbing particles related to Galton-Watson trees
We consider a system of particles with arms that are activated randomly to grab other particles as a toy model for polymerization. We assume that the following two rules are fulfilled: once a particle has been grabbed then it cannot be grabbed again, and an arm cannot grab a particle that belongs to its own cluster. We are interested in the shape of a typical polymer in the situation when the initial number of monomers is large and the numbers of arms of monomers are given by i.i.d. random variables. Our main result is a limit theorem for the empirical distribution of polymers, where limit is expressed in terms of a Galton-Watson tree.
Jean Bertoin, Vladas Sidoravicius, Maria Eulalia V
Added 30 Jan 2011
Updated 30 Jan 2011
Type Journal
Year 2010
Where RSA
Authors Jean Bertoin, Vladas Sidoravicius, Maria Eulalia Vares
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