Alexey Vladimirovich Klimenko
- Associate Professor:Faculty of Mathematics / Joint Department with the Steklov Mathematical Institute (RAS)
- Programme Academic Supervisor:Mathematics
- Alexey Vladimirovich Klimenko has been at HSE University since 2011.
Education and Degrees
- 2009
Candidate of Sciences* (PhD) in Differential Equations, Dynamic Systems and Optimal Control
Steklov Mathematical Institute of the Russian Academy of Sciences
Thesis Title: Markov partitions for pseudo-Anosov diffeomorphisms of surfaces - 2009
Doctoral programme in Differential equations
Steklov Mathematical Institute of the Russian Academy of Sciences - 2006Lomonosov Moscow State University
- 2006
Degree in Mathematics
Lomonosov Moscow State University, department of Mechanics and Mathematics
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Courses (2022/2023)
Differential Equations (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Introduction to Measure Theory (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 3 year, 4 module)Rus
- Research Seminar "Geometry and Dynamics 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 2" (Optional course (faculty); 3, 4 module)Rus
- Research Seminar "Representations and Probability 1" (Optional course (faculty); 1, 2 module)Eng
- Past Courses
Courses (2021/2022)
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Representations and Probability 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Representations and Probability 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Courses (2020/2021)
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Introduction to Mathematical Statistics (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Geometry and Dynamics 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Representations and Probability 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Representations and Probability 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Courses (2019/2020)
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Introduction to Mathematical Statistics (Optional course (faculty); Faculty of Mathematics; 2 module)Eng
- Research Seminar "Geometry and Dynamics 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Representations and Probability 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Courses (2018/2019)
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1-4 module)Rus
- Mathematical Statistics (Optional course (faculty); Faculty of Mathematics; 2 module)Eng
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Actual Problems of Modern Mathematics" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Geometry and Dynamics 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Representations and Probability 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Courses (2017/2018)
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
- Introduction to Mathematical Statistics (Optional course (faculty); Faculty of Mathematics; 2 module)Rus
- Logic and Algorithms (Bachelor’s programme; Faculty of Mathematics; 1 year, 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Dynamics 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Representations and Probability 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Representations and Probability 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Publications13
- Article Klimenko A. V., Bufetov A. I., Series C. Convergence of spherical averages for actions of Fuchsian Groups // Commentarii Mathematici Helvetici. 2023 (in press)
- Article Bufetov A. I., Klimenko A. V., Series C. A symmetric Markov coding and the ergodic theorem for actions of Fuchsian Groups // Mathematics Research Reports (publisher: MathOA, Netherlands). 2020. Vol. 1. P. 5-14. doi
- Article Клименко А. В., Буфетов А. И., Сириес К. Эргодическая теорема для действий фуксовых групп // Успехи математических наук. 2020 (in press)
- Article Klimenko A. V. Spatial limit theorem for interval exchange transformations // Moscow Mathematical Journal. 2019. Vol. 19. No. 2. P. 343-356. doi
- Preprint Klimenko A. V., Bufetov A. I., Series C. Convergence of spherical averages for actions of Fuchsian Groups / Cornell University. Series math "arxiv.org". 2018. No. 1805.11743.
- Article A. Klimenko, O. Romaskevich. Asymptotic Properties of Arnold Tongues and Josephson Effect // Moscow Mathematical Journal. 2014. Vol. 14. No. 2. P. 367-384.
- Article Khristoforov M., Klimenko A. V., Bufetov A. I. Cesàro Convergence of Spherical Averages for Measure-Preserving Actions of Markov Semigroups and Groups // International Mathematics Research Notices. 2012. No. 21. P. 4797-4829. doi
- Article Bufetov A. I., Klimenko A. V. On Markov Operators and Ergodic Theorems for Group Actions // European Journal of Combinatorics. 2012. Vol. 33. No. 7. P. 1427-1443. doi
- Article Клименко А. В., Буфетов А. И. Максимальное неравенство и эргодические теоремы для марковских групп // Труды Математического института им. В.А. Стеклова РАН. 2012. Т. 277. С. 33-48.
- Article Буфетов А. И., Клименко А. В., Христофоров М. И. Сходимость по Чезаро сферических средних для сохраняющих меру действий марковских групп и полугрупп // Успехи математических наук. 2011. Т. 66. № 3. С. 203-204.
- Article Клименко А. В. Конечность числа классов марковских разбиений для псевдоаносовских диффеоморфизмов поверхностей // Математические заметки. 2009. Т. 86. № 2. С. 314-317.
- Article Клименко А. В. О количестве классов марковских разбиений для гиперболического автоморфизма двумерного тора // Математический сборник. 2009. Т. 200. № 8. С. 147-160.
- Preprint A.V. Klimenko, Anosov D., Kolutsky G. On the hyperbolic automorphisms of the 2-torus and their Markov partitions / Max Planck Institute for Mathematics. Series MPIM "MPIM". 2008. No. 54. (in press)