Roger W. C. Silva

collaborators

4 papers

math.PR2026

Critical percolation on slabs with random columnar disorder

Matheus B. Castro, RÃ©my Sanchis, Roger W. C. Silva

We explore a bond percolation model on slabs $S_{k}^{+} = Z_{+} \times Z_{+} \times {0, \dots, k}$ featuring one-dimensional inhomogeneities. In this context, a verti…

math.PR2026

Truncated long-range percolation of words on the square lattice

Pablo A. Gomes, OtÃ¡vio 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 $ε$ , and each horizontal edge of len…

math.PR2026

Sharpness of the phase transition for constrained-degree percolation

Ivailo Hartarsky, Roger W. C. Silva

We consider constrained-degree percolation on the hypercubic lattice. Initially, all edges are closed, and each edge independently attempts to open at a uniformly distributed rando…

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 $(U_{e})_{e \in E^{d}}$ …