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math.PR2022
Random walk in a birth-and-death dynamical environment
Luiz Renato Fontes, Pablo Almeida Gomes, Maicon Aparecido Pinheiro
We consider a particle moving in continuous time as a Markov jump process; its discrete chain is given by an ordinary random walk on , and its jump rate at $({\math…
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…