The work is supported by the Russian Science Foundation under grant 14-50-00005 and performed at Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia.
Received: 12.10.2015 Revised: 12.12.2016
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Language: English
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This publication is cited in the following 4 articles:
A. S. Skripchenko, “Interval Exchange Transformations with Vanishing Sah–Arnoux–Fathi Invariant”, Proc. Steklov Inst. Math., 325 (2024), 262–279
Ivan Dynnikov, Pascal Hubert, Alexandra Skripchenko, “Dynamical Systems Around the Rauzy Gasket and Their Ergodic Properties”, Int. Math. Res. Not. IMRN, 2023:8 (2023), 6461–6503
A. S. Skripchenko, “Renormalization in one-dimensional dynamics”, Russian Math. Surveys, 78:6 (2023), 983–1021
Alexandra Skripchenko, Serge Troubetzkoy, “On the Hausdorff dimension of minimal interval exchange transformations with flips”, J. London Math. Soc., 97:2 (2018), 149–169