1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Hydrodynamic limit for repeated averages on the complete graph
Alberto M. Campos, Tertuliano Franco, Markus Heydenreich +1
We establish a hydrodynamical limit for the averaging process on the complete graph with N vertices, showing that, after a timescale of order N, the empirical distribution of opini…
First order of the renewal covering of the natural numbers
Alberto M. Campos
This paper introduces a new type of covering process that covers the set of natural numbers using renewal processes as objects. Inspired by the behavior of prime numbers, the model…
Covering Distributions
Alberto M. Campos, Augusto Teixeira
In this article, we study a covering process of the discrete one-dimensional torus that uses connected arcs of random sizes in the covering. More precisely, fix a distribution μon…
Random walk in a rotational environment
Alberto M. Campos, Tarcísio P. R. Campos
We define a random walk of a particle in where the space is rotating. The particle is not glued to the space and will collide with it at random times, resulting in c…
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…