%0 Journal Article %T On the Hausdorff dimension of minimal interval exchange transformations with flips %+ Faculty of Mathematics, National Research University Higher School of Economics %+ Skolkovo Institute of Science and Technology [Moscow] (Skoltech) %+ Institut de Mathématiques de Marseille (I2M) %A Skripchenko, Alexandra %A Troubetzkoy, Serge %Z RSF grant, project 14-21-00053 %Z project APEX 'Systemes dynamiques: Probabilites et Approximation Diophantienne PAD' %Z Region Provence-Alpes-Cotes d'Azur %< avec comité de lecture %@ 0024-6107 %J Journal of the London Mathematical Society %I London Mathematical Society ; Wiley %V 97 %P 149-169 %8 2018-04 %D 2018 %Z 1510.02362 %R 10.1112/jlms.12099 %K MEASURED FOLIATIONS %K SURFACES %K RAUZY %K DIRECTIONS %K MAPS %Z 37E05 (37C45) %Z Mathematics [math]/Dynamical Systems [math.DS]Journal articles %X We prove linear upper and lower bounds for the Hausdorff dimension set of minimal interval exchange transformations with flips (in particular without periodic points), and a linear lower bound for the Hausdorff dimension of the set of non-uniquely ergodic minimal interval exchange transformations with flips. %G English %2 https://hal.science/hal-01213473v2/document %2 https://hal.science/hal-01213473v2/file/Flips.february2016.pdf %L hal-01213473 %U https://hal.science/hal-01213473 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014- %~ TDS-MACS