Uniform ergodic theorems on subshifts over a finite alphabet

Details Uniform ergodic theorems on subshifts over a finite alphabet Uniform ergodic theorems on subshifts over a finite alphabet

2000-05-07

arxiv.org/abs/math/0005067v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

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-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.

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