Standard stochastic coalescence with sum kernels. (English) Zbl 1112.60078

Fournier, Nicolas

Electron. Commun. Probab. 11, 141-148 (2006).

Summary: We build a Markovian system of particles entirely characterized by their masses, in which each pair of particles with masses \(x\) and \(y\) coalesce at rate \(K(x,y) \simeq x^\lambda+y^\lambda\), for some \(\lambda\in(0,1)\), and such that the system is initially composed of infinitesimally small particles.

MSC:

60K35	Interacting random processes; statistical mechanics type models; percolation theory
60J25	Continuous-time Markov processes on general state spaces
82C05	Classical dynamic and nonequilibrium statistical mechanics (general)

Keywords:

stochastic interacting particle systems