A note on double rotations of infinite type-Reference-Cited by-同舟云学术

A note on double rotations of infinite type

Published:2022-03-15 Issue:0 Volume:82 Page:157-172
ISSN:0077-1554
Container-title:Transactions of the Moscow Mathematical Society
language:en
Short-container-title:Trans. Moscow Math. Soc.

Author:

Artigiani M.,Fougeron C.,Hubert P.,Skripchenko A.

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 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.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

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