3 citations · 10 across the 12 of their papers we have counts for
13 papers
Random walk in a null recurrent birth-and-death dynamical environment
Luiz Renato Fontes, Pablo A. Gomes
We study a random walk in in a dynamical random environment constituted of independent null recurrent birth-and-death chains, and establish a scaling limit result fo…
Phase transitions for percolation of words in one dimension
Gustavo O. de Carvalho, Pablo A. Gomes
In this paper, we investigate models of percolation of words on with long-range connections. The underlying graph is oriented and constructed according to a sequence…
The extinction of the contact process in a one-dimensional random environment with long-range interactions
Pablo A. Gomes, Marcelo R. Hilário, Bernardo N. B. de Lima +1
We study the contact process on the long-range percolation cluster on where each edge is open with probability for . Using a r…
Truncated long-range percolation of words on the square lattice
Pablo A. Gomes, Otávio Lima, Roger W. C. Silva
We study mixed long-range percolation on the square lattice. Each vertical edge of unit length is independently open with probability , and each horizontal edge of len…
Random walk in a birth-and-death dynamical environment
Luiz Renato Fontes, Pablo Almeida Gomes, Maicon Aparecido Pinheiro
We consider a particle moving in continuous time as a Markov jump process; its discrete chain is given by an ordinary random walk on , and its jump rate at $({\math…
Percolation of words on the hypercubic lattice with one-dimensional long-range interactions
Pablo A. Gomes, Otávio Lima, Roger W C Silva
We investigate the problem of percolation of words in a random environment. To each vertex, we independently assign a letter or according to Bernoulli r.v.'s with parameter…
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…
Upper bounds for critical probabilities in Bernoulli Percolation models
Pablo A. Gomes, Alan Pereira, Remy Sanchis
We consider bond and site Bernoulli Percolation in both the oriented and the non-oriented cases on and obtain rigorous upper bounds for the critical points in those…
Anisotropic non-oriented bond percolation in high dimensions
Pablo A. Gomes, Alan Pereira, Remy Sanchis
We consider inhomogeneous non-oriented Bernoulli bond percolation on , where each edge has a parameter depending on its direction. We prove that, under certain condit…
Central limit theorems for a driven particle in a random medium with mass aggregation
Luiz Renato Fontes, Pablo Almeida Gomes, Remy Sanchis
We establish central limit theorems for the position and velocity of the charged particle in the mechanical particle model introduced in the paper "Limit velocity for a driven part…
A note on the dimensional crossover critical exponent
Pablo A. Gomes, Remy Sanchis, Roger W. C. Silva
We consider independent anisotropic bond percolation on where edges parallel to are open with probability and…
Anisotropic oriented percolation in high dimensions
Pablo Almeida Gomes, Alan Pereira, Remy Sanchis
In this paper we study anisotropic oriented percolation on for and show that the local condition for phase transition is closely related to the mean-field…
Contact Process under heavy-tailed renewals on finite graphs
Luiz Renato Fontes, Pablo Almeida Gomes, Remy Sanchis
We investigate a non-Markovian analogue of the Harris contact process in a finite connected graph G=(V,E): an individual is attached to each site x in V, and it can be infected or…