2 papers
math.PR2024
Truncated long-range percolation of words on the square lattice
Pablo A. Gomes, Otávio 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 , and each horizontal edge of len…
math.PR2022
Percolation of words on the hypercubic lattice with one-dimensional long-range interactions
Pablo A. Gomes, Otávio Lima, Roger W C Silva
We investigate the problem of percolation of words in a random environment. To each vertex, we independently assign a letter or according to Bernoulli r.v.'s with parameter…