3 citations · 8 across the 5 of their papers we have counts for
7 papers
On the slow phase for fixed-energy Activated Random Walks
Bernardo N. B. de Lima, Leonardo T. Rolla, Célio Terra
We study the Activated Random Walk model on the one-dimensional ring, in the high density regime. We develop a toppling procedure that gradually builds an environment that can be u…
A note on oriented percolation with inhomogeneities and strict inequalities
Bernardo N. B. de Lima, Daniel Ungaretti, Maria Eulália Vares
This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to dea…
Dependent Percolation on
Bernardo N. B. de Lima, Vladas Sidoravicius, Maria Eulália Vares
We consider a dependent percolation model on the square lattice . The range of dependence is infinite in vertical and horizontal directions. In this context, we prove…
Long-range contact process and percolation on a random lattice
Pablo A. Gomes, Bernardo N. B. de Lima
We study the phase transition phenomena for long-range oriented percolation and contact process. We studied a contact process in which the range of each vertex are independent, upd…
Weakly constrained-degree percolation on the hypercubic lattice
Ivailo Hartarsky, Bernardo N. B. de Lima
We consider the Constrained-degree percolation model on the hypercubic lattice, for . It is a continuous time percolation model def…
Truncation of long-range percolation model with square non-summable interactions
Alberto M. Campos, Bernardo N. B. de Lima
We consider some problems related to the truncation question in long-range percolation. It is given probabilities that certain long-range oriented bonds are open; assuming that thi…