A percolation process on the binary tree where large finite clusters are frozen

作者：van den Berg Jacob^*; Kiss Demeter; Nolin Pierre

来源：Electronic Communications in Probability, 2012, 17: 1-11.

DOI：10.1214/ECP.v17-1694

• percolation
• frozen cluster

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 [9].

• 出版日期2012-1-6