Hilário, M.R.; de Lima, B.N.B.; Nolin, P.; Sidoravicius, V. - In: Stochastic Processes and their Applications 124 (2014) 12, pp. 4171-4181
We investigate the problem of embedding infinite binary sequences into Bernoulli site percolation on Zd with parameter p. In 1995, I. Benjamini and H. Kesten proved that, for d⩾10 and p=1/2, all sequences can be embedded, almost surely. They conjectured that the same should hold for d⩾3....
