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20052021
most citedOn the Truncation of Systems with Non-Summable Interactions

11 citations · 15 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.PR2021

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…

math.PR2020

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}^{…

math.PR2020

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…

math.PR2020

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…

math.PR2011

Critical Point and Percolation Probability in a Long Range Site Percolation Model on

Bernardo N. B. de Lima, Rémy Sanchis, Roger W. C. Silva

Consider an independent site percolation model with parameter on where there are only nearest neighbor bonds and long range bonds of length paral…

math.PR2007

Linear Lower Bounds for for a Class of 2D Self-Destructive Percolation Models

J. van den Berg, B. N. B. de Lima

The self-destructive percolation model is defined as follows: Consider percolation with parameter . Remove the infinite occupied cluster. Finally, give each vertex (or, fo…