An improved decoupling inequality for random interlacements

Diego F. de Bernardini, Christophe Gallesco, Serguei Popov

In this paper we obtain a decoupling feature of the random interlacements process ${\mathcal{I}}^u\subset {\mathbb{Z}}^d$, at level $u$, $d\ge 3$. More precisely, we show that the tr…