Andrei Sobolevski
- Andrei Sobolevski has been at HSE since 2011.
Education and Degrees
- 2014
Doctor of Sciences* in Mathematical Physics
Lomonosov Moscow State University
Thesis Title: Dynamics and singularities in models of inertial mass transfer - 2011
Candidate of Sciences* (PhD) in Theoretical Physics
Lomonosov Moscow State University
Thesis Title: Generalized variational principles and method of vanishing viscosity for some quasilinear equations and systems - 1996
Diploma
Lomonosov Moscow State University
* Candidate of Sciences
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.
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.
* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Awards and Accomplishments
Student Term / Thesis Papers
- Master
T. Volkovaya «A Study of Some Reaction-diffusion Processes in the Space of Measures with Transportation Metric». Faculty of Computer Science, 2017
P. Lukashkin «Application of the Monge-Kantorovich Transportation Metric in the Analysis of Video Sequences». Faculty of Computer Science, 2017
N. Pronko «Сhange Point Detection Based on Optimal Transportation and Geometric Discrepancy». Faculty of Computer Science, 2017
Courses (2017/2018)
- Mathematical Analysis 2 (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 2 year, 1-4 module)Rus
- Past Courses
Courses (2016/2017)
- Modern Metthods of Data Analysis: Stochastic Calculus (Master’s programme; Faculty of Computer Science; programme "Mathematical Methods of Optimization and Stochastics"; 1 year, 1, 2 module)Rus
- Scientific Seminar "Complex Systems Modeling Technologies" (Master’s programme; Faculty of Computer Science; programme "Data Science"; 2 year, 1-3 module)Rus
- Scientific Workshop (Master’s programme; Faculty of Computer Science; programme "Mathematical Methods of Optimization and Stochastics"; 2 year, 1-3 module)Rus
Courses (2015/2016)
- Mathematical Analysis (Calculus) 1 (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 1 year, 1, 2 module)Rus
- Mathematic Analysis 2 (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 1 year, 3, 4 module)Rus
- Modern Metthods of Data Analysis: Stochastic Calculus (Master’s programme; Faculty of Computer Science; programme "Mathematical Methods of Optimization and Stochastics"; 1 year, 1, 2 module)Rus
- Probabilistic Methods of Mathematical Modelling (Master’s programme; Faculty of Computer Science; programme "Data Science"; 1 year, 3, 4 module)Rus
- Research seminar "Technologies for complex systems modeling" (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 4 year, 1-3 module)Rus
Courses (2014/2015)
- Mathematical Analysis (Calculus) 1 (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 1 year, 1, 2 module)Rus
- Mathematic Analysis 2 (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 1 year, 3, 4 module)Rus
- Probabilistic Methods of Mathematical Modelling (Master’s programme; Faculty of Computer Science; programme "Data Science"; spec. "Технологии моделирования сложных систем "; 1 year, 3, 4 module)Rus
- Scientific Workshop (Bachelor’s programme; Faculty of Computer Science; programme "Applied Mathematics and Information Science"; 4 year, 1-3 module)Rus
- Stochastic Dynamics of Complex Multicomponent Systems (Master’s programme; Faculty of Computer Science; programme "Mathematic Modelling"; spec. "Технологии моделирования сложных систем"; 2 year, 1, 2 module)Rus
Courses (2013/2014)
- Probabilistic Methods of Mathematical Modelling (Master’s programme; School of Applied Mathematics and Information Science; programme "Mathematical Modeling"; spec. "Технологии моделирования сложных систем"; 1 year, 3, 4 module)Rus
- Scientific Seminar "Complex Systems Modeling Technologies" (Master’s programme; School of Applied Mathematics and Information Science; programme "Mathematical Modeling"; spec. "Технологии моделирования сложных систем"; 2 year, 1-4 module)Rus
- Stochastic Dynamics of Complex Multicomponent Systems (Master’s programme; School of Applied Mathematics and Information Science; programme "Mathematical Modeling"; spec. "Технологии моделирования сложных систем"; 2 year, 1, 2 module)Rus
Courses (2012/2013)
Probabilistic Methods of Mathematical Modelling (Master’s programme; School of Applied Mathematics and Information Science; programme "Mathematical Modeling"; spec. "Технологии моделирования сложных систем"; 1 year, 3, 4 module)Rus
Courses (2011/2012)
- Probabilistic Methods of Mathematical Modelling (Master’s programme; School of Applied Mathematics and Information Science; programme "Mathematical Modeling"; spec. "Технологии моделирования сложных систем"; 1 year, 3, 4 module)Rus
- Scientific Seminar "Complex Systems Modeling Technologies" (Master’s programme; School of Applied Mathematics and Information Science; programme "Mathematical Modeling"; spec. "Технологии моделирования сложных систем"; 1 year, 2-4 module)Rus
Publications
20161
Article Khanin K., Sobolevski A. On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations // Archive for Rational Mechanics and Analysis. 2016. Vol. 219. No. 2. P. 861-885. doi
20152
- Preprint Kroshnin A., Sobolevski A. Fréchet Barycenters and a Law of Large Numbers for Measures on the Real Line / Cornell University. Series arxive "math". 2015. No. 1512.08421.
- Article Sobolevski, Andrei N., Rozhkova G. I. Scientific Activity of Alfred Yarbus: The Stages of Research Work, Senior and Younger Colleagues, Conditions of Investigations // Perception. 2015. Vol. 44. No. 8-9. P. 837-850. doi
20132
- Article Novaga M., Sobolevski A., Stepanov E. Droplet condensation and isoperimetric towers // Pacific Journal of Mathematics. 2013. Vol. 262. No. 2. P. 457-480. doi
- Article Nechaev S., Sobolevski A., Valba O. V. Planar diagrams from optimization for concave potentials // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2013. Vol. 87. No. 1. P. 012102-1-012102-9. doi
20123
- Article Delon J., Salomon J., Sobolevski A. Local Matching Indicators for Transport Problems with Concave Costs // SIAM Journal of Discrete Mathematics. 2012. Vol. 26. No. 2. P. 801-827.
- Article Delon J., Salomon J., Sobolevski A. Minimum—weight perfect matching for nonintrinsic distances on the line // Journal of Mathematical Sciences. 2012. Vol. 181. No. 6. P. 782-791.
- Preprint Khanin K., Sobolevski A. On dynamics of Lagrangian trajectories for Hamilton–Jacobi equations / Cornell University. Series math "arxiv.org". 2012. No. arXiv:1211.7084.
20111
Chapter Litvinov G., Maslov V., Rodionov A., Sobolevski A. Universal Algorithms, Mathematics of Semirings and Parallel Computations, in: Coping with Complexity: Model Reduction and Data Analysis / Ed. by A. N. Gorban, D. Roose. Issue 75. Berlin, Heidelberg : Springer, 2011. P. 63-89.
20102
- Article Delon J., Sobolevski A., Salomon J. Fast transport optimization for Monge costs on the circle // SIAM Journal on Applied Mathematics. 2010. Vol. 70. No. 7. P. 2239-2258.
- Article Khanin K., Sobolevski A. Particle dynamics inside shocks in Hamilton-Jacobi equations // Philosophical Transactions of the Royal Society of London. Series A: Mathematical and Physical Sciences. 2010. Vol. 368. No. 1916. P. 1579-1593.
20091
Chapter Соболевский А. Н. Выпуклый анализ, тропическая алгебра и обработка астрономических данных // В кн.: Исследования по выпуклому анализу / Отв. ред.: В. М. Тихомиров. Т. 2. Владикавказ : ЮМИ ВНЦ РАН, 2009. С. 230-233.
20081
Article Sobolevski A., Mohayaee R. The Monge-Ampère-Kantorovich approach to reconstruction in cosmology // Physica D: Nonlinear Phenomena. 2008. Vol. 237. No. 14-17. P. 2145-2150.
20072
- Article Соболевский А. Н., Гурбатов С. Н., Андриевский А. А. Баллистическая агрегация в симметричных и несимметричных течениях // Журнал экспериментальной и теоретической физики. 2007. Т. 131. № 6. С. 1018-1029.
- Article Соболевский А. Н., Курносов А. А. Вариационный подход к восстановлению пекулярных скоростей галактик // Вестник Московского университета. Серия 3: Физика. Астрономия. 2007. № 3. С. 18-21.
20061
Article Sobolevski A., Frisch U. Application of optimal transport theory to reconstruction of the early Universe // Journal of Mathematical Sciences. 2006. Vol. 133. P. 1539-1542.
20051
Chapter Sobolevski A., Khanin K., Khmelev D. V. A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain, in: Idempotent mathematics and mathematical physics / Ed. by G. Litvinov, V. P. Maslov. Providence : American Mathematical Society, 2005. P. 161-179.
20031
Article Sobolevski A., Matarrese S., Mohayaee R., Frisch U. Back to the primordial Universe by a Monge-Ampère-Kantorovich optimisation scheme // Astronomy and Astrophysics. 2003. Vol. 406. P. 393-401.
20021
Article Sobolevski A., Matarrese S., Mohayaee R., Frisch U. A reconstruction of the initial conditions of the Universe by optimal mass transportation // Nature. 2002. Vol. 417. P. 260-262.
20012
- Article Sobolevski A., Litvinov G. Idempotent interval analysis and optimization problems // Reliable Computing. 2001. Vol. 7. No. 5. P. 353-377.
- Article Соболевский А. Н., Литвинов Г. Л. Идемпотентная математика и интервальный анализ // Вычислительные технологии. 2001. Т. 6. № 6. С. 47-70.
19992
- Article Sobolevski A. Aubry-Mather theory and idempotent eigenfunctions of Bellman operator // Communications in Contemporary Mathematics. 1999. Vol. 1. No. 4. P. 517-533.
- Article Соболевский А. Н. Периодические решения уравнения Гамильтона-Якоби с периодической неоднородностью и теория Обри-Мезера // Математический сборник. 1999. Т. 190. № 10. С. 87-104.
19981
Article Соболевский А. Н. Периодические решения уравнения Гамильтона-Якоби с периодической силой // Успехи математических наук. 1998. Т. 53. № 6. С. 265-266.
Current principal affiliation
Institute for Information Transmission Problems (Kharkevich Institute), Acting director
‘Our Programme Aims to Make a Research Breakthrough at the Intersection of Mathematics and Computer Science’
In 2017, the HSE Faculty of Computer Science and Skoltech are opening admissions to the Master’s programme inStatistical Learning Theory, which will become the successor to theMathematical Methods of Optimization and Stochastics programme.Vladimir Spokoiny, the programme’s academic supervisor and professor of mathematics at Humboldt University in Berlin, told us about the research part of the new programme and the opportunities it offers to both Master’s students and undergraduate students alike.
