Decay Properties of the Connectivity for Mixed Long Range Percolation Models on ${\mathbb{Z}}^d$

Gastao A. Braga, Leandro M. Cioletti, Remy Sanchis

In this short note we consider mixed short-long range independent bond percolation models on ${\mathbb{Z}}^{k+d}$. Let $p_{uv}$ be the probability that the edge $(u,v)$ will be open. Allowin…