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A context in which finite or unique ergodicity is generic
Published online by Cambridge University Press: 29 September 2020
Abstract
We show that for good measures, the set of homeomorphisms of Cantor space which preserve that measure and which have no invariant clopen sets contains a residual set of homeomorphisms which are uniquely ergodic. Additionally, we show that for refinable Bernoulli trial measures, the same set of homeomorphisms contains a residual set of homeomorphisms which admit only finitely many ergodic measures.
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- Original Article
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- © The Author(s), 2020. Published by Cambridge University Press