5 citations · 23 across the 14 of their papers we have counts for
15 papers · 1 filter
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…
Monotonicity and phase diagram for multi-range percolation on oriented trees
Bernardo N. B. de Lima, Leonardo T. Rolla, Daniel Valesin
We consider Bernoulli bond percolation on oriented regular trees, where besides the usual short bonds, all bonds of a certain length are added. Independently, short bonds are open…
Truncated long-range percolation on oriented graphs
Aernout C. D. van Enter, Bernardo N. B. de Lima, Daniel Valesin
We consider different problems within the general theme of long-range percolation on oriented graphs. Our aim is to settle the so-called truncation question, described as follows.…
A remark on monotonicity in Bernoulli bond Percolation
Bernardo N. B. de Lima, Aldo Procacci, Rémy Sanchis
Consider an anisotropic independent bond percolation model on the -dimensional hypercubic lattice, , with parameter . We show that the two point connectivity functio…
Embedding binary sequences into Bernoulli site percolation on
Marcelo R. Hilário, Bernardo N. B. de Lima, Pierre Nolin +1
We investigate the problem of embedding infinite binary sequences into Bernoulli site percolation on with parameter , known also as percolation of words.\ In 1995…
Truncated Connectivities in a highly supercritical anisotropic percolation model
Rodrigo G. Couto, Bernardo N. B. de Lima, Rémy Sanchis
We consider an anisotropic bond percolation model on , with , , and declare each horizontal (respectively vertical) edge of…
Anisotropic Percolation on Slabs
Rodrigo G. Couto, Bernardo N. B. de Lima, Rémy Sanchis
We consider anisotropic independent bond percolation models on the slab , where we suppose that the axial (vertical) bonds are open with probability , w…
On the compatibility of binary sequences
Harry Kesten, Bernardo N. B. de Lima, Vladas Sidoravicius +1
An ordered pair of semi-infinite binary sequences is said to be compatible if there is a way of removing a certain number (possibly infinite) of ones from and zeroes fr…
A percolation process on the square lattice where large finite clusters are frozen
Jacob van den Berg, Bernardo N. B. de Lima, Pierre Nolin
Aldous constructed a growth process for the binary tree where clusters freeze as soon as they become infinite. It was pointed out by Benjamini and Schramm that such a process does…
Monotonicity of Percolation Probability on with Long Range Connections
Bernardo N. B. de Lima, Rémy Sanchis, Roger W. C. Silva
Consider an independent site percolation model on , with parameter , where there are only nearest neighbor bonds and long range bonds of length par…