Finite connections for supercritical Bernoulli bond percolation in 2D (2009)
Campanino, Massimo, Ioffe, Dmitry, Louidor, Oren
Two vertices are said to be finitely connected if they belong to the same cluster and this cluster is finite. We derive sharp asymptotics for finite connection probabilities for supercritical...
Fixation for Distributed Clustering Processes (2009)
Hilario, Marcelo R., Louidor, Oren, Newman, Charles M., Rolla, Leonardo T., Sheffield, Scott, Sidoravicius, Vladas
We study a discrete-time resource flow in $Z^d$, where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution of initial...