2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217678We study a random walk that has a drift $\fracβ{d}$ to the right when located at a previously unvisited vertex and a drift $\fracμ{d}$ to the left otherwise. We prove that in high dimensions, for every $μ$, the drift to the right is a strictly increasing and continuous function of $β$, and that there is precisely one value $β_0(μ,d)$ for which the resulting speed is zero.10 pagesProbabilityMathematical Physics60K35; 82B41text