Remy Sanchis

A random perturbation with a tunable parameter in a regular media can sometimes produce a disruption on macroscopic observables. In this talk, we study a percolation model on a random lattice that features such a disruption. More specifically, we show that the Bernoulli percolation in a 3D lattice with columns randomly deleted has a uniform non-trivial threshold. In the course of the proof, we have to understand some geometrical properties of the supercritical 2D cluster. Joint work with M.V Sá and M.R. Hilário.