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Real-analytic AbC constructions on the torus
Published online by Cambridge University Press: 25 January 2018
Abstract
In this article we demonstrate a way to extend the AbC (approximation by conjugation) method invented by Anosov and Katok from the smooth category to the category of real-analytic diffeomorphisms on the torus. We present a general framework for such constructions and prove several results. In particular, we construct minimal but not uniquely ergodic diffeomorphisms and non-standard real-analytic realizations of toral translations.
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- © Cambridge University Press, 2018
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