2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154935We propose a definition o meta-stability and obtain sufficient conditions for a sequence of Markov processes on finite state spaces to be meta-stable. In the reversible case, these conditions reduce to estimates of the capacity and the measure of certain meta-stable sets. We prove that a class of condensed zero-range processes with asymptotically decreasing jump rates is meta-stable.ProbabilityMathematical Physics60K35Meta-stability and condensed zero-range processes on finite setstext