Percolation of words on ${\mathbb{Z}}^d$ with long range connections

Bernardo N. B. de Lima, Remy Sanchis, Roger W. C. Silva

Consider an independent site percolation model on ${\mathbb{Z}}^d$, with parameter $p\in (0,1)$, where all long range connections in the axes directions are allowed. In this work we show th…