Embedding binary sequences into Bernoulli site percolation on ${\mathbb{Z}}^3$

Marcelo R. Hilário, Bernardo N. B. de Lima, Pierre Nolin +1

We investigate the problem of embedding infinite binary sequences into Bernoulli site percolation on ${\mathbb{Z}}^d$ with parameter $p$, known also as percolation of words.\ In 1995…