B. N. B. Lima

activity

20092026

Z^{d}

with long range connections

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2026

The probability of connection between two vertices cannot be monotone with the distance for Bernoulli Percolation on transitive graphs

Alberto M. Campos, Bernardo N. B. de Lima

A popular question in Bernoulli percolation models is if the probability of connection between two vertices in a transitive graph decays monotonically with the distance between the…

cond-mat.stat-mech2019

Multirange Ising model on the square lattice

Charles S. do Amaral, B. N. B. de Lima, Ronald Dickman +1

We study the Ising model on $Z^{2}$ and show, via numerical simulation, that allowing interactions between spins separated by distances $1$ and $m$ (two ranges), the criti…

math.PR2009★ 2 cited

Percolation of words on $Z^{d}$ with long range connections

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

Consider an independent site percolation model on $Z^{d}$ , with parameter $p \in (0, 1)$ , where all long range connections in the axes directions are allowed. In this work we show th…

The probability of connection between two vertices cannot be monotone with the distance for Bernoulli Percolation on transitive graphs

Multirange Ising model on the square lattice

Percolation of words on Zd with long range connections

Percolation of words on $Z^{d}$ with long range connections