Real-analytic AbC constructions on the torus
Dynamical Systems
2019-09-11 v1
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.
Cite
@article{arxiv.1611.06621,
title = {Real-analytic AbC constructions on the torus},
author = {Shilpak Banerjee and Philipp Kunde},
journal= {arXiv preprint arXiv:1611.06621},
year = {2019}
}
Comments
48 pages, 7 figures