Author

Pablo A. Gomes

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Preprint Oct 2026

Random walk in a null recurrent birth-and-death dynamical environment

We study a random walk in $\mathbb{Z}^d$ in a dynamical random environment constituted of independent null recurrent birth-and-death chains, and establish a scaling limit result for the position of the walker in terms of a sublinear time change of Brownian motion, thus establishing subdiffusivity, in contrast to a diff...

L. R. Fontes, P. A. Gomes · 0 citations

Preprint Sep 2026

Phase transitions for percolation of words in one dimension

In this paper, we investigate models of percolation of words on $\mathbb{Z}_+$ with long-range connections. The underlying graph is oriented and constructed according to a sequence of non-negative ranges. In the first model, the sequence of ranges is considered random and, in the second model, deterministic and non-dec...

Gustavo O. De Carvalho, P. A. Gomes · 0 citations