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arXiv · 1611.06621

Real-analytic AbC constructions on the torus

Shilpak Banerjee·Philipp Kunde
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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 nonstandard real-analytic realizations of toral translations.

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Shilpak Banerjee, Philipp Kunde. 2016-11-21. Real-analytic AbC constructions on the torus. https://doi.org/10.1017/etds.2017.132

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