Geodesic
A note on double rotations of infinite type
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 1, pp. 185-203

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MMO_2021_82_1_a10,
     author = {M. Artigiani and Ch. Fougeron and P. Hubert and A. Skripchenko},
     title = {A note on double rotations of infinite type},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {185--203},
     publisher = {mathdoc},
     volume = {82},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a10/}
}
TY  - JOUR
AU  - M. Artigiani
AU  - Ch. Fougeron
AU  - P. Hubert
AU  - A. Skripchenko
TI  - A note on double rotations of infinite type
JO  - Trudy Moskovskogo matematičeskogo obŝestva
PY  - 2021
SP  - 185
EP  - 203
VL  - 82
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a10/
LA  - en
ID  - MMO_2021_82_1_a10
ER  - 
%0 Journal Article
%A M. Artigiani
%A Ch. Fougeron
%A P. Hubert
%A A. Skripchenko
%T A note on double rotations of infinite type
%J Trudy Moskovskogo matematičeskogo obŝestva
%D 2021
%P 185-203
%V 82
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a10/
%G en
%F MMO_2021_82_1_a10
M. Artigiani; Ch. Fougeron; P. Hubert; A. Skripchenko. A note on double rotations of infinite type. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 1, pp. 185-203. http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a10/