A note on double rotations of infinite type
نویسندگان
چکیده
We introduce a new renormalization procedure on double rotations, which is reminiscent of the classical Rauzy induction. Using this we prove that set parameters induce infinite type rotations has Hausdorff dimension strictly smaller than 3 3 . Moreover, construct natural invariant measure supported these and show that, with respect to measure, almost all are uniquely ergodic.
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ژورنال
عنوان ژورنال: Transactions of the Moscow Mathematical Society
سال: 2022
ISSN: ['0077-1554', '1547-738X']
DOI: https://doi.org/10.1090/mosc/311