Uniform ergodic theorems on subshifts over a finite alphabet

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dc.creatorLenz, Daniel
dc.date2000-05-07
dc.date.accessioned2026-07-07T04:35:04Z
dc.date.available2026-07-07T04:35:04Z
dc.descriptionWe 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0005067
dc.identifierhttp://arxiv.org/abs/math/0005067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59141
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37A30, 37B10, 52C23
dc.titleUniform ergodic theorems on subshifts over a finite alphabet
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