Size of the largest cluster under zero-range invariant measures
Jeon, Intae ; March, Peter ; Pittel, Boris
Ann. Probab., Tome 28 (2000) no. 1, p. 1162-1194 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study the .nite zero-range process with occupancy-dependent rate function $g(\cdot)$. Under the invariant measure, which can be written explicitly in terms of $g$, particles are distributed over sites and we regard all particles at a fixed site as a cluster. In the density one case, that is, equal numbers of particles and sites, we determine asymptotically the size of the largest cluster, as the number of particles tends to infinity, and determine its dependence on the rate function.
Publié le : 2000-06-14
Classification:  Zero-range process,  equilibrium measure,  cluster size,  random partition,  local limit theorem,  60K35,  82C22 
@article{1019160330,
     author = {Jeon, Intae and March, Peter and Pittel, Boris},
     title = {Size of the largest cluster under zero-range invariant
		 measures},
     journal = {Ann. Probab.},
     volume = {28},
     number = {1},
     year = {2000},
     pages = { 1162-1194},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1019160330}
}

Jeon, Intae; March, Peter; Pittel, Boris. Size of the largest cluster under zero-range invariant
		 measures. Ann. Probab., Tome 28 (2000) no. 1, pp.  1162-1194. http://gdmltest.u-ga.fr/item/1019160330/