Geodesic
A sufficient condition for absolute continuity of conjugations between interval exchange maps
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 276-284.

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A class of topological equivalent generalized interval exchange maps of genus one and of the same bounded combinatorics is considered in the paper. A sufficient condition for absolute continuity of the conjugation between two maps from this class is provided.
Keywords: conjugate map, interval exchange map, Rauzy–Veech induction, renormalization
Mots-clés : dynamical partition, martingale. 
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Abdumajid S. Begmatov. A sufficient condition for absolute continuity of conjugations between interval exchange maps. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 276-284. http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a1/

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