3 citations · 3 across the 3 of their papers we have counts for
4 papers
Euclidean and chemical distances in ellipses percolation
Marcelo Hilário, Daniel Ungaretti
The ellipses model is a continuum percolation process in which ellipses with random orientation and eccentricity are placed in the plane according to a Poisson point process. A par…
Bernoulli Hyperplane Percolation
Marco Aymone, Marcelo R. Hilário, Bernardo N. B. de Lima +1
We study a dependent site percolation model on the -dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We exte…
Strict inequality for bond percolation on a dilute lattice with columnar disorder
Marcelo R. Hilário, Marcos Sá, Rémy Sanchis
We consider a dilute lattice obtained from the usual lattice by removing independently each of its columns with probability . In the remaining dilute lattice in…
Random walk on the simple symmetric exclusion process
Marcelo R. Hilário, Daniel Kious, Augusto Teixeira
We investigate the long-term behavior of a random walker evolving on top of the simple symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the random…