Non-standard real-analytic realizations of some rotations of the circle
arXiv:1501.01531 · doi:10.1017/etds.2015.110
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.
17 pages, 3 figures; Errors corrected, some proofs redone