TY - JOUR
T1 - A percolation process on the binary tree where large finite clusters are frozen
AU - van den Berg, Jacob
AU - Kiss, Demeter
AU - Nolin, Pierre
PY - 2012
Y1 - 2012
N2 - We study a percolation process on the planted binary tree, where clusters freeze as soon as they become larger than some fixed parameter N. We show that as N goes to infinity, the process converges in some sense to the frozen percolation process introduced by Aldous in [1]. In particular, our results show that the asymptotic behaviour differs substantially from that on the square lattice, on which a similar process has been studied recently by van den Berg, de Lima and Nolin.
AB - We study a percolation process on the planted binary tree, where clusters freeze as soon as they become larger than some fixed parameter N. We show that as N goes to infinity, the process converges in some sense to the frozen percolation process introduced by Aldous in [1]. In particular, our results show that the asymptotic behaviour differs substantially from that on the square lattice, on which a similar process has been studied recently by van den Berg, de Lima and Nolin.
KW - Frozen cluster
KW - Percolation
UR - http://www.scopus.com/inward/record.url?scp=84856302680&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84856302680&origin=recordpage
U2 - 10.1214/ECP.v17-1694
DO - 10.1214/ECP.v17-1694
M3 - RGC 21 - Publication in refereed journal
SN - 1083-589X
VL - 17
JO - Electronic Communications in Probability
JF - Electronic Communications in Probability
ER -