11 citations · 15 across the 9 of their papers we have counts for
10 papers
Multi-range percolation on oriented trees: critical curve and limit behavior
Bernardo N. B. de Lima, Réka Szabó, Daniel Valesin
We consider an inhomogeneous oriented percolation model introduced by de Lima, Rolla and Valesin. In this model, the underlying graph is an oriented rooted tree in which each verte…
Cluster expansion for continuous particle systems interacting via an attractive pair potential and subjected to high density boundary conditions
Paula M. S. Fialho, Bernardo N. B. de Lima, Aldo Procacci
We propose a method based on cluster expansion to study the low activity/high temperature phase of a continuous particle system confined in a finite volume, interacting through a s…
Approximation on slabs and uniqueness for inhomogeneous percolation with a plane of defects
Bernardo N. B. de Lima, Sébastien Martineau, Humberto C. Sanna +1
Let be the -dimensional hypercubic lattice. We consider a model of inhomogeneous Bernoulli percolation on $ \mathbb{L}^{…
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…
The Constrained-degree percolation model
Bernardo N. B. de Lima, Rémy Sanchis, Diogo C. dos Santos +2
In the Constrained-degree percolation model on a graph there are a sequence, , of i.i.d. random variables with distribution $U[0,1…
Moser-Tardos resampling algorithm, entropy compression method and the subset gas
Paula M. S. Fialho, Bernardo N. B. de Lima, Aldo Procacci
We establish a connection between the entropy compression method and the Moser-Tardos algorithmic version of the Lovász local lemma through the cluster expansion of the subset gas.…