Foliations,
interval exchange transformations,
systems of isometries,
Lyapunov exponents interval exchange transformations,
Lyapunov exponents,
measured foliations.
Subject:
Dynamical systems, low-dimensional topology, geometric group theory dynamical systems, teichmuller dynamics, ergodic theory, low-dimensional topology
Main publications:
A. Avila, P. Hubert, A. Skripchenko, “Diffusion for chaotic plane sections of 3-periodic surfaces”, Inventiones Mathematicae., 206:1 (2016), 109-146
A. Avila, P. Hubert, A. Skripchenko, “On the Hausdorff dimension of the Rauzy gasket”, Bulletin de la Société Mathématique de France, 144:3 (2016), 539-568.
Skripchenko A., Troubetzkoy S., “Entropy and complexity of polygonal billiards with spy mirrors”, Nonlinearity, 28:9 (2015), 3443-3456
Skripchenko A., “On connectedness of chaotic sections of some 3-periodic surfaces”, Annals of Global Analysis and Geometry, 43:3 (2013), 253-271
Skripchenko A., “Symmetric interval identification systems of order 3”, Discrete and Continuous Dynamical Systems - Series A, 32:2 (2012), 643-656
A. S. Skripchenko, “Interval Exchange Transformations with Vanishing Sah–Arnoux–Fathi Invariant”, Proc. Steklov Inst. Math., 325 (2024), 262–279
2.
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 , arXiv: 2011.15043
A. S. Skripchenko, “Renormalization in one-dimensional dynamics”, Russian Math. Surveys, 78:6 (2023), 983–1021
4.
Trans. Moscow Math. Soc., 82 (2021), 157–172
5.
Alexandra Skripchenko, Serge Troubetzkoy, “On the Hausdorff dimension of minimal interval exchange transformations with flips”, J. London Math. Soc., 97:2 (2018), 149–169
Ivan Dynnikov, Alexandra Skripchenko, “Minimality of interval exchange transformations with restrictions”, J. Mod. Dyn., 11 (2017), 219–248 , arXiv: 1510.03707
Alexandra Skripchenko, Serge Troubetzkoy, “Entropy and complexity of polygonal billiards with spy mirrors”, Nonlinearity, 28:9 (2015), 3443–3456 , arXiv: 1501.04584
12.
A. Skripchenko, “On connectedness of chaotic sections of some 3-periodic surfaces”, Ann. Global Anal. Geom., 43:3 (2013), 253–271
O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. , “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476;
Presentations in Math-Net.Ru
1.
Ренормализация в однородной динамике A. S. Skripchenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) September 20, 2024 14:00
Задача Новикова: как игра на бильярде помогает в физике металлов A. S. Skripchenko Conference “Geometry, topology and mathematical physics” on the occasion of the 85th anniversary of S.P. Novikov and the 80th anniversary of V.M. Buchstaber April 10, 2023 16:50
Выступление A. S. Skripchenko General Meeting of the Branch of Mathematical Sciences, RAS, 2020 December 7, 2020 14:10
14.
Cohomological equations for linear involutions A. S. Skripchenko International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko November 26, 2018 10:00
15.
Combinatorics of billiard maps A. S. Skripchenko Colloquium "15 years of the French-Russian Lab" September 4, 2018 15:30
Результаты Артура Авилы в тейхмюллеровой динамике A. S. Skripchenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 19, 2014 18:30
Бильярды в многоугольниках с односторонней перегородкой A. S. Skripchenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 6, 2013 18:30
Симметричные системы наложения отрезков порядка три A. S. Skripchenko Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 13, 2010 18:30
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