Abstract
We prove the existence of a (random) Lipschitz function F : Z(d-1) -> Z(+) such that, for every x is an element of Z(d-1), the site (x, F(x)) is open in a site percolation process on Z(d). The Lipschitz constant may be taken to be 1 when the parameter p of the percolation model is sufficiently close to 1.
| Original language | English |
|---|---|
| Article number | Paper 2 |
| Pages (from-to) | 14-21 |
| Number of pages | 8 |
| Journal | Electronic Communications in Probability |
| Volume | 15 |
| Publication status | Published - 2010 |