Andrei Sobolevski
- Professor:Faculty of Physics
- Andrei Sobolevski has been at HSE University 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
Degree
Lomonosov Moscow State University
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.
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
Professor of Russian Academy of Sciences (2015)
Chevalier dans l'Ordre des Palmes académiques de la République française (2017)
Medal of the Russian Ministry of Research anf Higher Education "For contribution to implementation of the national science and technology policy" (2021)
Courses (2023/2024)
- Probability Theory (Bachelor’s programme; Faculty of Physics; 2 year, 1, 2 module)Rus
- Past Courses
Editorial board membership
2021: Deputy Editor-in-chief, Автоматика и телемеханика (Automation and Remote Control).
2023–2023: Editor-in-chief, Проблемы передачи информации (Problems of Information Transmission).
2017–2021: Member of the Editorial Board, Автоматика и телемеханика (Automation and Remote Control).
20161
20152
- Preprint Kroshnin A., Sobolevski A. Fréchet Barycenters and a Law of Large Numbers for Measures on the Real Line / Cornell University. Series arXiv "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
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
20081
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 и астрономия. 2007. № 3. С. 18-21.
20061
20051
20031
20021
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
Employment history
Since 1999 to 2009: junior research associate, assistant professor, associate professor at the physics department of Moscow State University.
Since 2009 to 2023: senior research associate, deputy director for research, director (since 2016) at A. A. Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences.
Since 2011: associate professor, then professor (since 2016) at Chair of Complex Systems Modelling; in 2014-2016 deputy dean of Faculty of Computer Science.
Since 2023: professor at Faculty of Physics.
Lagrangian trajectories of particles in flows describe by the Hamilton-Jacobi equation
Equations of motion of a structureless fluid, such as liquid, gas, or dust-like matter in cosmology, provide basis for a wide spectrum of mathematical physics models. Two extremes of this spectrum are the ideal, i.e., incompressible and inviscid fluid, which is described by the Euler equation, and infinitely compressible, i.e., collisionless dust-like matter. According to the famous theorem of Y. Brenier, an arbitrary displacement field of fluid elements in Euclidean space can be decomposed into two mappings, one of which is volume-preserving and the other represents inertial transport of mass elements along a suitable curl-free vector field. Both limiting types of dynamics, the incompressible as well as the interial, enjoy a rich goemetric structure that is important for their application to models of mathematical physics.
In this talk, we contruct a physically natural kind of dynamics of fluid elements in a flow described by the Hamilton-Jacobi or Bernouilli equation inside singularities (discontinuities of the velocity field) appearing because of the nonlinearity. The talk is based on results of K. Khanin, A. Sobolevski, On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations, Arch. Rational Mech. Anal. 219 (2016), 861-885, and includes discussion of their possible development.
Video of the talk at the Landau Institute website, January 26, 2024
Remarks on 1D sticky particles dynamics and the Olshanetski-Perelomov construction
Opening talk at M. Olshanetski's 80th anniversary conference.
Video at MathNet.ru, Steklov Mathematics Institute, December 11, 2018
Ilya Segalovich Scholarships Awarded on the Fifth Anniversary of HSE’s Faculty of Computer Science
As part of the HSE Faculty of Computer Science fifth anniversary celebration at Mercury Moscow City Tower, Ilya Segalovich Scholarships were awarded.
Lidia Prokofieva and Alexei Starobinsky Honored with French Academic Palm Award
Lead analyst at the HSE’s Institute of Social Policy Lidia Prokofieva and HSE Professor at the Faculty of Physics Alexei Starobinsky have been honored by the French government for their contribution to science and education.
‘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.