26 citations · 138 across the 30 of their papers we have counts for
32 papers
Critical oriented percolation enhanced along random supercritical horizontal lines
Lucas Leproult, Maria Eulália Vares
We consider the oriented site percolation model in a random environment introduced by Kesten, Sidoravicius and Vares (2022), in which the horizontal lines of the lattice are indepe…
Contact process on interchange process
M. Hilário, D. Ungaretti, D. Valesin +1
We introduce a model of epidemics among moving particles on any locally finite graph. At any time, each vertex is empty, occupied by a healthy particle, or occupied by an infected…
A note on oriented percolation with inhomogeneities and strict inequalities
Bernardo N. B. de Lima, Daniel Ungaretti, Maria Eulália Vares
This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to dea…
Onset of pattern formation for the stochastic Allen-Cahn equation
Stella Brassesco, Glauco Valle, Maria Eulália Vares
We study the behavior of the solution of a stochastic Allen-Cahn equation $\frac{\partial u_\eps }{\partial t}=\frac 12 \frac{\partial^2 u_\eps }{\partial x^2}+ u_\eps -u_\eps^3+\s…
Survival of one dimensional renewal contact process
Rafael Santos, Maria Eulalia Vares
The renewal contact process, introduced in by Fontes, Marchetti, Mountford, and Vares, extends the Harris contact process in by allowing the possible cure tim…
Dependent Percolation on
Bernardo N. B. de Lima, Vladas Sidoravicius, Maria Eulália Vares
We consider a dependent percolation model on the square lattice . The range of dependence is infinite in vertical and horizontal directions. In this context, we prove…