3 papers
math.PR2026
Large deviations for marked sparse random graphs with applications to interacting diffusions
Rangel Baldasso, Roberto I Oliveira, Alan Pereira +1
We consider the empirical neighborhood distribution of marked sparse ErdÅs-Rényi random graphs, obtained by decorating edges and vertices of a sparse ErdÅs-Rényi random graph w…
math.PR2026
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…
math.PR2025
Constrained-degree percolation on the hypercubic lattice: uniqueness and some of its consequences
Weberson S. Arcanjo, Alan S. Pereira, Diogo C. dos Santos +2
We consider the constrained-degree percolation (CDP) model on the hypercubic lattice. This is a continuous-time percolation model defined by a sequence …