3 papers
math.PR2026
Near-critical percolation with sparse reinforcements
Estevão Borel, Marcos Sá, Rémy Sanchis +1
We study the effect of sparse random reinforcement on near-critical Bernoulli site percolation on the first quadrant of the square lattice. The reinforcement is generated by random…
math.PR2026
Critical percolation on slabs with random columnar disorder
Matheus B. Castro, Rémy Sanchis, Roger W. C. Silva
We explore a bond percolation model on slabs featuring one-dimensional inhomogeneities. In this context, a verti…
math.PR2025
Phase transition on randomly horizontally stretched square lattice
Isadora Guedes, Paulo C. Lima, Marcos Sá +1
In this article, we study a bond percolation model on a horizontally stretched square lattice, constructed by stretching the distances between the columns of accor…