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Poorly Approximated ℤ2-Cocycles For Transformations With Rational Discrete Spectrum
Published online by Cambridge University Press: 20 November 2018
Abstract
Let T be an ergodic automorphism with rational discrete spectrum and ϕ a ℤ2-cocyle for T. We show that the resulting two-point extension of T is cohomologous to a Morse cocycle if ϕ is approximated with speed o(1/n).
On the other hand, we show by example that this is in general false when the speed of approximation is O(1/n).
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- Copyright © Canadian Mathematical Society 1991