2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59141We investigate uniform ergodic type theorems for additive and subadditive functions on a subshift over a finite alphabet. We show that every strictly ergodic subshift admits a uniform ergodic theorem for Banach-space-valued additive functions. We then give a necessary and sufficient condition on a minimal subshift to allow for a uniform subadditive ergodic theorem. This provides in particular a sufficient condition for unique ergodicity.10 pagesDynamical SystemsMathematical Physics37A30, 37B10, 52C23Uniform ergodic theorems on subshifts over a finite alphabettext