Non-standard real-analytic realizations of some rotations of the circle
Dynamical Systems
2016-01-06 v2
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 metrically isomorphic to some (Liouvillian) irrational rotations of the circle.
Keywords
Cite
@article{arxiv.1501.01531,
title = {Non-standard real-analytic realizations of some rotations of the circle},
author = {Shilpak Banerjee},
journal= {arXiv preprint arXiv:1501.01531},
year = {2016}
}
Comments
17 pages, 3 figures; Errors corrected, some proofs redone