Resumen
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.
Idioma original | Inglés estadounidense |
---|---|
Páginas (desde-hasta) | 157-172 |
Número de páginas | 16 |
Publicación | Transactions of the Moscow Mathematical Society |
Volumen | 82 |
N.º | 1 |
DOI | |
Estado | Publicada - 2021 |
Áreas temáticas de ASJC Scopus
- Matemáticas (miscelánea)