2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132911A dynamical system perturbed by white noise in a neighborhood of an unstable fixed point is considered. We obtain the exit asymptotics in the limit of vanishing noise intensity. This is a refinement of a result by Kifer (1981).13 pagesProbabilityDynamical Systems60H10Exit asymptotics for small diffusion about an unstable equilibriumtext