2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63453We show the existence of non-trivial quasi-stationary measures for conservative attractive particle systems on $\ZZ^d$ conditioned on avoiding an increasing local set $\A$. Moreover, we exhibit a sequence of measures $\{ν_n\}$, whose $ω$-limit set consists of quasi-stationary measures. For zero range processes, with stationary measure $\nur$, we prove the existence of an $L^2(\nur)$ nonnegative eigenvector for the generator with Dirichlet boundary on $\A$, after establishing a priori bounds on the $\{ν_n\}$.19 pagesProbability60K35; 82C22; 60J25text