Ergodic theorems for actions of Markov groups.
Markov partitions for pseudo-Anosov diffeomorphisms of 2-dimensional surfaces.
Main publications:
A. I. Bufetov, A. V. Klimenko, M. I. Khristoforov, “Cesàro convergence of spherical averages for Markov groups and semigroups”, Russian Math. Surveys, 66:3 (2011), 633–634
A. V. Klimenko, “The number of classes of Markov partitions for a hyperbolic automorphism of a 2-torus”, Sb. Math., 200:8 (2009), 1247–1259
A. I. Bufetov, A. V. Klimenko, C. Series, “An ergodic theorem for actions of Fuchsian groups”, Russian Math. Surveys, 78:3 (2023), 566–568
2.
Alexander I. Bufetov, Alexey Klimenko, Caroline Series, “Convergence of spherical averages for actions of Fuchsian groups”, Comment. Math. Helv., 98:1 (2023), 41–134 , arXiv: 1805.11743;
2021
3.
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
2020
4.
Alexander I. Bufetov, Alexey Klimenko, Caroline Series, “A symmetric Markov coding and the ergodic theorem for actions of Fuchsian Groups”, Mathematics Research Reports, 1 (2020), 5–14;
S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381
2014
8.
A. Klimenko, O. Romaskevich, “Asymptotic properties of Arnold tongues and Josephson effect”, Mosc. Math. J., 14:2 (2014), 367–384, 428 , arXiv: 1305.6746
D. Anosov, L. Bartholdi, A. Bufetov, T. Ceccherini-Silberstein, A. Erschler, M. Gromov, P. de la Harpe, Yu. Ilyashenko, A. Klimenko, T. Nagnibeda, V. Nekrashevych, Ya. Sinai, A. Stepin, E. Zelmanov, “Rostislav Ivanovich Grigorchuk”, Mosc. Math. J., 13:4 (2013), 733–734
2012
10.
A. I. Bufetov, M. Khristoforov, A. Klimenko, “Cesàro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups”, Int. Math. Res. Not. IMRN, 2012:21 (2012), 4797–4829 , arXiv: 1101.5459 (First published online: October 25, 2011)
A. I. Bufetov, A. V. Klimenko, M. I. Khristoforov, “Cesàro convergence of spherical averages for Markov groups and semigroups”, Russian Math. Surveys, 66:3 (2011), 633–634
2009
14.
A. V. Klimenko, “There Are Only Finitely Many Classes of Markov Partitions for Pseudo-Anosov Diffeomorphisms of Surfaces”, Math. Notes, 86:2 (2009), 286–289
15.
A. V. Klimenko, “The number of classes of Markov partitions for a hyperbolic automorphism of a 2-torus”, Sb. Math., 200:8 (2009), 1247–1259
Seminar 127. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 7, 2024 18:00
Seminar 126. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 30, 2024 18:00
Seminar 125. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 23, 2024 18:00
Seminar 124. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 16, 2024 18:00
Seminar 123. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 9, 2024 18:00
Seminar 106. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 11, 2023 18:00
26.
Seminar 105. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 4, 2023 12:00
27.
Seminar 103. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 27, 2023 18:00
28.
Seminar 102. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 20, 2023 18:00
29.
Seminar 101. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 13, 2023 18:00
30.
Seminar 100. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 30, 2023 18:00
31.
Seminar 99. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 23, 2023 18:00
32.
Seminar 98. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 16, 2023 18:00
33.
Seminar 97. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 9, 2023 18:00
34.
Seminar 96. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 2, 2023 18:00
35.
Seminar 95. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 25, 2023 18:00
36.
Seminar 94. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 18, 2023 18:00
37.
Seminar 93. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 11, 2023 18:00
38.
Seminar 78. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 15, 2022 18:00
39.
Seminar 77. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 8, 2022 18:00
40.
Seminar 76. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 1, 2022 18:00
Seminar 75. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 24, 2022 18:00
43.
Seminar 74. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 17, 2022 18:00
44.
Seminar 73. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 10, 2022 18:00
Seminar 72. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 27, 2022 18:00
49.
Seminar 71. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 20, 2022 18:00
50.
Seminar 70. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 13, 2022 18:00
51.
Seminar 69. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” October 6, 2022 18:00
52.
Seminar 68. Representations and Probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 29, 2022 18:00
53.
Seminar 66. Representations and Probability A. V. Klimenko Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” September 15, 2022 18:00
Seminar 51. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 16, 2021 18:00
56.
Seminar 50. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 9, 2021 18:00
57.
Seminar 49. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” December 2, 2021 18:00
58.
Seminar 48. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 25, 2021 18:00
59.
Seminar 47. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 18, 2021 18:00
60.
Seminar 46. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 11, 2021 18:00
61.
Seminar 45. Representations and probability A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanski Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” November 4, 2021 18:00
Ñåìèíàð 7. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” March 16, 2020 18:00
70.
Ñåìèíàð 6. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” March 2, 2020 18:00
71.
Ñåìèíàð 5. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” February 17, 2020 18:00
72.
Ñåìèíàð 4. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” February 10, 2020 18:00
73.
Ñåìèíàð 3. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” February 3, 2020 18:00
74.
Ñåìèíàð 2. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” January 27, 2020 18:00
75.
Ñåìèíàð 1. Ïðåäñòàâëåíèÿ è âåðîÿòíîñòü A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani, G. I. Olshanskii Seminar by A. I. Bufetov, A. V. Dymov, A. V. Klimenko, M. Mariani and G. I. Olshanskii “Representations and Probability” January 20, 2020 18:00
Limit theorem for generic interval exchange transformations A. V. Klimenko Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005 November 19, 2018 10:40
Çàñåäàíèå ïîñâÿùåíî ïàìÿòè Äìèòðèÿ Âèêòîðîâè÷à Àíîñîâà A. M. Stepin, L. M. Lerman, V. Z. Grines, S. Yu. Pilyugin, M. I. Zelikin, V. P. Leksin, A. V. Klimenko, Yu. S. Ilyashenko Meetings of the Moscow Mathematical Society April 7, 2015
2023
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