Abstract. We 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-spacevalued 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 par...

Ergodic systems, being indecomposable are important part of the study dynamical systems but if a system is not ergodic, it natural to ask following question: Is possible split into ergodic in such way that former reduces latter ones? Also, will be interesting see ones inherit some properties one. This document answers this question for measurable maps defined on complete separable metric spaces...