Lipschitz percolation

N. Dirr, P. W. Dondl, G. R. Grimmett +2

We prove the existence of a (random) Lipschitz function $F:{\mathbb{Z}}^{d-1}\to {\mathbb{Z}}^{+}$ such that, for every $x\in {\mathbb{Z}}^{d-1}$, the site $(x,F(x))$ is open in a site percolation process on $\…