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Non-standard real-analytic realizations of some rotations of the circle
Published online by Cambridge University Press: 28 December 2015
Abstract
We extend some aspects of the smooth approximation by conjugation method to the real-analytic set-up, and create examples of zero entropy, uniquely ergodic, real-analytic diffeomorphisms of the two-dimensional torus that are metrically isomorphic to some (Liouvillian) irrational rotations of the circle.
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- © Cambridge University Press, 2015
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