3 papers
math.PR2023
A new proof for percolation phase transition on stretched lattices
Marcelo R. Hilário, Marcos Sá, Remy Sanchis +1
We revisit the phase transition for percolation on randomly stretched lattices. Starting with the usual square grid, keep all vertices untouched while erasing edges according as fo…
math.PR2020
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…
math.PR2019
Phase transition for percolation on a randomly stretched lattice
Marcelo R. Hilario, Marcos Sá, Remy Sanchis +1
Let be a sequence of i.i.d.\ positive random variables. Starting from the usual square lattice replace each horizontal edge that links a site in -th vertica…