2 citations · 4 across the 4 of their papers we have counts for
4 papers
Contact process on interchange process
M. Hilário, D. Ungaretti, D. Valesin +1
We introduce a model of epidemics among moving particles on any locally finite graph. At any time, each vertex is empty, occupied by a healthy particle, or occupied by an infected…
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…
A note on truncated long-range percolation with heavy tails on oriented graphs
Caio T. M. Alves, Marcelo Hilário, Bernardo N. B. de Lima +1
We consider oriented long-range percolation on a graph with vertex set and directed edges of the form , for $x,y…
Cylinders' percolation in three dimensions
Marcelo Hilário, Vladas Sidoravicius, Augusto Teixeira
We study the complementary set of a Poissonian ensemble of infinite cylinders in R^3, for which an intensity parameter u > 0 controls the amount of cylinders to be removed from the…