160 citations · 370 across the 36 of their papers we have counts for
41 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…
Does genetic diversity help survival?
Luiz Renato Fontes, Fabio P. Machado, Rinaldo B. Schinazi
We introduce the following model for the evolution of a population. At every discrete time exactly one individual is introduced in the population and is assigned a death…
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…
Additive functionals of exclusion processes from non-equilibrium
Luiz Renato Fontes, Tiecheng Xu
Consider the weakly asymmetric simple exclusion processes on the one-dimensional torus. We study the non-equilibrium fluctuation of a class of additive functionals, and show that i…
Renewal Contact Processes: phase transition and survival
Luiz Renato Fontes, Thomas S. Mountford, Daniel Ungaretti +1
We refine previous results concerning the Renewal Contact Processes. We significantly widen the family of distributions for the interarrival times for which the critical value can…
Asymptotic behavior of a low temperature non-cascading 2-GREM dynamics at extreme time scales
Luiz Renato Fontes, Susana Frómeta, Leonel Zuaznábar
We derive the scaling limit for the Hierarchical Random Hopping dynamics for the non cascading 2-GREM at low temperatures and time scales where the dynamics is close to equilibrium…