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Some counterexamples in topological dynamics
Published online by Cambridge University Press: 01 August 2008
Abstract
In this paper, we exhibit, for any sparse-enough increasing sequence {pn} of integers, totally minimal, totally uniquely ergodic, and topologically mixing systems (X,T) and (X′,T′) and f∈C(X) for which the averages fail to converge on a residual set in X, and where there exists x′∈X′ with .
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- Copyright © 2008 Cambridge University Press
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