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@article{TM_2017_297_a16, author = {Yaroslav Vorobets}, title = {On the commutator group of the group of interval exchange transformations}, journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova}, pages = {313--325}, publisher = {mathdoc}, volume = {297}, year = {2017}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TM_2017_297_a16/} }
TY - JOUR AU - Yaroslav Vorobets TI - On the commutator group of the group of interval exchange transformations JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2017 SP - 313 EP - 325 VL - 297 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2017_297_a16/ LA - ru ID - TM_2017_297_a16 ER -
Yaroslav Vorobets. On the commutator group of the group of interval exchange transformations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Order and chaos in dynamical systems, Tome 297 (2017), pp. 313-325. http://geodesic.mathdoc.fr/item/TM_2017_297_a16/
[1] Arnoux P., “Échanges d'intervalles et flots sur les surfaces”, Théorie ergodique, Semin. Les Plans-sur-Bex 1980, Monogr. Enseign. Math., 29, Univ. Genève, Genève, 1981, 5–38 | MR
[2] Boshernitzan M., “Subgroup of interval exchanges generated by torsion elements and rotations”, Proc. Amer. Math. Soc., 144:6 (2016), 2565–2573 | DOI | MR | Zbl
[3] Katok A. B., Stepin A. M., “Approksimatsii v ergodicheskoi teorii”, UMN, 22:5 (1967), 81–106 | MR | Zbl
[4] Keane M., “Interval exchange transformations”, Math. Z., 141 (1975), 25–31 | DOI | MR | Zbl
[5] Sah Chih-Han, Scissors congruences of the interval, Preprint, State Univ. New York, Stony Brook, NY, 1981 | MR | Zbl
[6] Veech W. A., “The metric theory of interval exchange transformations. III: The Sah–Arnoux–Fathi invariant”, Amer. J. Math., 106:6 (1984), 1389–1422 | DOI | MR | Zbl
[7] Viana M., “Ergodic theory of interval exchange maps”, Rev. Mat. Complut., 19:1 (2006), 7–100 | DOI | MR | Zbl