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arxiv: 1501.01531 · v2 · pith:6NZGRPFTnew · submitted 2015-01-07 · 🧮 math.DS

Non-standard real-analytic realizations of some rotations of the circle

classification 🧮 math.DS
keywords real-analyticsomecirclerotationsapproximationaspectsconjugationcreate
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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 metrically isomorphic to some (Liouvillian) irrational rotations of the circle.

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