A note on double rotations of infinite type
Dynamical Systems
2021-02-24 v1
Abstract
We introduce a new renormalization procedure on double rotations, which is reminiscent of the classical Rauzy induction. Using this renormalization we prove that the set of parameters which induce infinite type double rotations has Hausdorff dimension strictly smaller than 3. Moreover, we construct a natural invariant measure supported on these parameters and show that, with respect to this measure, almost all double rotations are uniquely ergodic.
Cite
@article{arxiv.2102.11803,
title = {A note on double rotations of infinite type},
author = {Mauro Artigiani and Charles Fougeron and Pascal Hubert and Alexandra Skripchenko},
journal= {arXiv preprint arXiv:2102.11803},
year = {2021}
}
Comments
17 pages, 8 figures. Transactions of the Moscow Mathematical Society, American Mathematical Society, In press