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Sobolevski, Andrei Nikolaevich

Total publications: 37 (34)
in MathSciNet: 24 (23)
in zbMATH: 19 (19)
in Web of Science: 24 (22)
in Scopus: 27 (25)
Cited articles: 28
Citations in Math-Net.Ru: 17
Citations in Web of Science: 295
Citations in Scopus: 373
Presentations: 25

Number of views:
This page:5967
Abstract pages:1198
Full texts:465
References:141
Doctor of physico-mathematical sciences (2014)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 15.07.1974
E-mail:
Keywords: Hamilton–Jacobi equation, viscosity solutions, nonsmooth analysis, transport optimization.
UDC: 517.957, 517.958, 531.123.6, 521.12, 523.11, 517.972.5, 519.854.2

Subject:

PDEs, optimization theory, dynamical systems.

   
Main publications:
  1. Julie Delon, Julien Salomon, Andrei Sobolevski, “Fast Transport Optimization for Monge Costs on the Circle”, SIAM J. Appl. Math., 70:7 (2010), 2239–2258 , arXiv: 0902.3527  crossref  mathscinet  zmath  isi  elib  scopus
  2. K. M. Khanin, D. V. Khmelev, A. N. Sobolevskii, “On the velocities of Lagrangian minimizers”, Mosc. Math. J., 5:1 (2005), 157–169  mathnet  crossref  mathscinet  zmath  isi  isi
  3. Y. Brenier, U. Frisch, M. Henon, G. Loeper, S. Matarrese, R. Mohayaee, A. Sobolevskii, “Reconstruction of the early Universe as a convex optimization problem”, Mon. Not. R. Astron. Soc., 346:2 (2003), 501–524 , arXiv: astro-ph/0304214  crossref  mathscinet  adsnasa  isi  elib  scopus
  4. Uriel Frisch, Sabino Matarrese, Roya Mohayaee, Andrei Sobolevski, “A reconstruction of the initial conditions of the Universe by optimal mass transportation”, Nature, 417 (2002), 260–262 , arXiv: astro-ph/0109483  crossref  adsnasa  isi  scopus
  5. A. N. Sobolevskii, “Periodic solutions of the Hamilton–Jacobi equation with a periodic non-homogeneous term and Aubry–Mather theory”, Sb. Math., 190:10 (1999), 1487–1504 , arXiv: chao-dyn/9906035  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

http://www.mathnet.ru/eng/person8652
https://scholar.google.com/citations?user=9EJftZAAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:sobolevski.andrei|sobolevski.a-n
https://mathscinet.ams.org/mathscinet/MRAuthorID/629753
https://elibrary.ru/author_items.asp?authorid=16281
http://orcid.org/0000-0002-3082-5113
http://www.researcherid.com/rid/D-9361-2012
https://www.scopus.com/authid/detail.url?authorId=7004013625
https://www.researchgate.net/profile/Andrei_Sobolevski
https://arxiv.org/a/sobolevski_a_1

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2019
1. G. L. Litvinov, А. Ya. Rodionov, S. Sergeev, A. N. Sobolevski, “Universal algorithms for solving
discrete stationary Bellman equations”, Russian Universities Reports. Mathematics, 24:128 (2019), 393–431  mathnet  crossref  elib

   2016
2. K. Khanin, A. Sobolevski, “On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations”, Archive for Rational Mechanics and Analysis, 219 (2016), 861–885 , arXiv: 1211.7084  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus
3. A. V. Kroshnin, A. N. Sobolevskii, “Baritsentry Freshe i zakon bolshikh chisel dlya mer na veschestvennoi pryamoi”, Trudy MFTI, 8:2 (2016), 112-125  elib

   2015
4. Alexey Kroshnin, Andrei Sobolevski, Fréchet Barycenters and a Law of Large Numbers for Measures on the Real Line, 2015 , 17 pp., arXiv: 1512.08421
5. Galina I. Rozhkova, Andrei N. Sobolevski, “Scientific Activity of Alfred Yarbus: The Stages of Research Work, Senior and Younger Colleagues, Conditions of Investigations”, Perception, 44:8-9 (2015), 837–850 http://pec.sagepub.com/content/44/8-9/837  crossref  isi (cited: 1)  scopus (cited: 3)

   2013
6. S. K. Nechaev, A. N. Sobolevski, O. V. Valba, “Planar diagrams from optimization for concave potentials”, Phys. Rev. E, 87 (2013), 012102 , 9 pp., arXiv: 1203.3248  crossref  adsnasa  isi (cited: 3)  elib (cited: 1)  scopus (cited: 3)
7. Matteo Novaga, Andrei Sobolevski, Eugene Stepanov, “Droplet condensation and isoperimetric towers”, Pacific J. Math., 262:2 (2013), 457–480 (preprint: at CVGMT server)  crossref  mathscinet  zmath  isi  elib  scopus
8. G. L. Litvinov, A. Y. Rodionov, S. N. Sergeev, A. N. Sobolevski, “Universal algorithms for solving the matrix Bellman equations over semirings”, Soft Computing, 17:10 (2013), 1767–1785 , arXiv: math/1209.5011  crossref  zmath  adsnasa  isi (cited: 6)  elib (cited: 2)  scopus (cited: 5)

   2012
9. Julie Delon, Julien Salomon, Andrei Sobolevski, “Local Matching Indicators for Transport Problems with Concave Costs”, SIAM J. Discrete Math., 26:2 (2012), 801–827 , arXiv: 1102.1795  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 4)  scopus (cited: 16)
10. Julie Delon, Julien Salomon, Andrei Sobolevski, “Minimum-weight perfect matching for non-intrinsic distances on the line”, J. Math. Sci. (N. Y.), 181:6 (2012), 782–791 , arXiv: 1102.1558  mathnet  crossref  mathscinet  elib  elib  scopus (cited: 2)

   2011
11. Grigory L. Litvinov, Victor P. Maslov, Anatoly Ya. Rodionov, Andrei N. Sobolevski, “Universal Algorithms, Mathematics of Semirings and Parallel Computations”, Coping with Complexity: Model Reduction and Data Analysis, Lecture Notes in Computational Science and Engineering, 75, eds. Alexander N. Gorban, Dirk Roose, Springer, 2011, 63–89  crossref  mathscinet  elib (cited: 3)  scopus (cited: 6)

   2010
12. Julie Delon, Julien Salomon, Andrei Sobolevski, “Local matching indicators for concave transport costs”, C. R. Acad. Sci. Paris Sér I, 348:15 (2010), 901–905 , arXiv: 0912.0179  crossref  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)
13. Konstantin Khanin, Sergei Nechaev, Gleb Oshanin, Andrei Sobolevski, Oleg Vasilyev, “Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface”, Phys. Rev. E, 82:6 (2010), 061107 , 10 pp., arXiv: 1006.4576  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  elib (cited: 4)  scopus (cited: 12)
14. Konstantin Khanin, Andrei Sobolevski, “Particle dynamics inside shocks in Hamilton–Jacobi equations”, Phil. Trans. R. Soc. A, 368:1916, Theme Issue “Turbulent Mixing and Beyond” (Snezhana I. Abarzhi and Katepalli R. Sreenivasan, eds) (2010), 1579-1593 , arXiv: 1001.0498  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib (cited: 6)  scopus (cited: 9)
15. Julie Delon, Julien Salomon, Andrei Sobolevski, “Fast Transport Optimization for Monge Costs on the Circle”, SIAM J. Appl. Math., 70:7 (2010), 2239–2258 , arXiv: 0902.3527  crossref  mathscinet  zmath  isi (cited: 15)  elib (cited: 7)  scopus (cited: 19)

   2009
16. A. N. Sobolevskii, “Vypuklyi analiz, tropicheskaya algebra i obrabotka astronomicheskikh dannykh”, Issledovaniya po vypuklomu analizu, Matematicheskii forum (Itogi nauki. Yug Rossii), no. 2, Yuzhnyi matematicheskii institut Vladikavkazskogo nauchnogo tsentra RAN i Pravitelstva Respubliki Severnaya Osetiya-Alaniya, Vladikavkaz, 2009, 230–233  elib

   2008
17. Roya Mohayaee, Andrei Sobolevski, “The Monge–Ampère–Kantorovich approach to reconstruction in cosmology”, Euler Equations: 250 Years On (Aussois, June 18–23, 2007), Physica D: Nonlinear Phenomena, 237, no. 14-17, 2008, 2145–2150 , arXiv: 0712.2561  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 6)  scopus (cited: 10)
18. Gregory Eyink, Uriel Frisch, René Moreau, Andrei Sobolevskiĭ, “General introduction”, Euler Equations: 250 years on (18–23 June 2007, Aussois, France), Physica D: Nonlinear Phenomena, 237, no. 14-17, 2008, xi–xv  crossref  mathscinet  isi (cited: 2)  scopus (cited: 3)

   2007
19. A. Andrievskii, S. Gurbatov, A. Sobolevskii, “Ballistic aggregation in symmetric and nonsymmetric flows”, J. Experimental and Theoretical Phys., 104:6 (2007), 887–896 , arXiv: nlin/0601006  crossref  adsnasa  adsnasa  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
20. A. A. Kurnosov, A. N. Sobolevskiǐ, “A variational approach to the reconstruction of galactic peculiar velocities”, Moscow University Physics Bulletin, 62:3 (2007), 147–150  crossref  mathscinet  adsnasa  elib
21. A. N. Sobolevskii, Teoriya veroyatnostei i osnovy matematicheskoi statistiki dlya fizikov, Uchebnoe posobie po kursu lektsii, Fizicheskii fakultet MGU im. M. V. Lomonosova, Moskva, 2007 , 24 pp.

   2005
22. K. M. Khanin, D. V. Khmelev, A. N. Sobolevskii, “On the velocities of Lagrangian minimizers”, Mosc. Math. J., 5:1 (2005), 157–169  mathnet (cited: 1)  crossref  mathscinet  zmath  isi  isi
23. Konstantin Khanin, Dmitry Khmelev, Andrei Sobolevskii, “A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain”, Idempotent Mathematics and Mathematical Physics (Erwin Schrödinger Institute, Vienna, February 3–10, 2003), Contemporary Mathematics, 377, eds. G. L. Litvinov and V. P.Maslov, American Mathematical Society, Rhode Island, 2005, 161-179 , arXiv: math/0312395  crossref  adsnasa  isi (cited: 1)
24. V. I. Keilis-Borok, A. A. Soloviev, C. Allègre, A. Sobolevski, M. D. Intriligator, “Patterns of macroeconomic indicators preceding the unemployment rise in Western Europe and the USA”, Pattern Recognition, 38:3 (2005), 423–435  crossref  zmath  isi (cited: 7)  elib (cited: 10)  scopus (cited: 11)

   2006
25. A. N. Sobolevskii, U. Frisch, “Application of optimal transport theory to reconstruction of the early Universe”, J. Math. Sci. (N. Y.), 133:4 (2006), 1539–1542  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 3)

   2003
26. Y. Brenier, U. Frisch, M. Henon, G. Loeper, S. Matarrese, R. Mohayaee, A. Sobolevskii, “Reconstruction of the early Universe as a convex optimization problem”, Mon. Not. R. Astron. Soc., 346:2 (2003), 501–524 , arXiv: astro-ph/0304214  crossref  mathscinet  adsnasa  isi (cited: 88)  elib (cited: 55)  scopus (cited: 87)
27. R. Mohayaee, U. Frisch, S. Matarrese, A. Sobolevskii, “Back to the primordial Universe by a Monge-Ampère-Kantorovich optimization scheme”, Astronomy & Astrophysics, 406:2 (2003), 393-401 , arXiv: astro-ph/0301641  crossref  isi (cited: 18)  elib (cited: 12)  scopus (cited: 18)

   2002
28. Uriel Frisch, Sabino Matarrese, Roya Mohayaee, Andrei Sobolevski, “A reconstruction of the initial conditions of the Universe by optimal mass transportation”, Nature, 417 (2002), 260–262 , arXiv: astro-ph/0109483  crossref  adsnasa  isi (cited: 87)  scopus (cited: 93)

   2001
29. Grigori Litvinov, Andrei Sobolevskii, “Idempotent interval analysis and optimization problems”, Reliable Computing, 7:4 (2001), 353-377 , arXiv: math/0101080  crossref  mathscinet  zmath  adsnasa  elib (cited: 28)  scopus (cited: 45)
30. G. L. Litvinov, V. P. Maslov, A. N. Sobolevskiǐ, “Idempotent mathematics and interval analysis”, Vychisl. Tekhnol., 6:6 (2001), 47–70  mathscinet  zmath  elib
31. A. Yu. Loskutov, L. G. Akinshin, A. N. Sobolevskii, “Dinamika bilyardov s periodicheski zavisyaschimi ot vremeni granitsami”, Izvestiya vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika, 9:4-5 (2001), 50–63  zmath  elib (cited: 2)

   2000
32. Grigori Litvinov, Andrei Sobolevskii, “Exact interval solutions to the discrete Bellman equation and polynomial complexity of problems in interval idempotent linear algebra”, Doklady Mathematics, 62:2 (2000), 199–201 , arXiv: math/0101041  mathnet  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 8)  scopus (cited: 8)

   1999
33. A. N. Sobolevskii, “Periodic solutions of the Hamilton–Jacobi equation with a periodic non-homogeneous term and Aubry–Mather theory”, Sb. Math., 190:10 (1999), 1487–1504 , arXiv: chao-dyn/9906035  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 6)
34. A. N. Sobolevskii, “Interval arithmetic and linear algebra over idempotent semirings”, Doklady Mathematics, 60:3 (1999), 431–433  mathnet  mathscinet  mathscinet  elib (cited: 3)  scopus (cited: 3)
35. A. Sobolevskii, “Aubry-Mather theory and idempotent eigenfunctions of Bellman operator”, Communications in Contemporary Mathematics, 1:4 (1999), 517–533 , arXiv: chao-dyn/9906036  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 4)  scopus (cited: 4)

   1998
36. A. N. Sobolevskii, “Periodic solutions of the Hamilton–Jacobi equation with a periodic forcing term”, Russian Math. Surveys, 53:6 (1998), 1375–1376  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)

   1997
37. A. N. Sobolevskii, “The small viscosity method for one-dimensional equations of the gas dynamics type without pressure”, Doklady Mathematics, 56:2 (1997), 707–709  mathnet  mathscinet  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

Presentations in Math-Net.Ru
1. Opening
A. Sobolevski
International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday
December 11, 2018 10:40   
2. Current scientific communication of IITP and Poncelet
A. N. Sobolevski
Colloquium "15 years of the French-Russian Lab"
September 3, 2018 15:15
3. О выемках и насыпях, или Как математика помогает восстанавливать раннюю историю Вселенной
A. N. Sobolevski
Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT)
April 20, 2018 18:30
4. Транспортная задача Монжа-Канторовича, пространство Васерштейна и его геометрия
A. N. Sobolevski
Dobrushin Mathematics Laboratory Seminar
March 21, 2017 16:00
5. Как математика стала технической наукой
A. N. Sobolevski
Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT)
February 17, 2017 18:30   
6. Конкретная теория вероятностей. Лекция 11
A. N. Sobolevski

December 17, 2015   
7. Конкретная теория вероятностей. Лекция 10
A. N. Sobolevski

November 26, 2015   
8. Конкретная теория вероятностей. Лекция 9
A. N. Sobolevski

November 12, 2015   
9. Конкретная теория вероятностей, лекция 8
A. N. Sobolevski

November 4, 2015   
10. Конкретная теория вероятностей. Лекция 7
A. N. Sobolevski

October 29, 2015   
11. Конкретная теория вероятностей. Лекция 6
A. N. Sobolevski

October 22, 2015   
12. Конкретная теория вероятностей. Лекция 5
A. N. Sobolevski

October 15, 2015   
13. Конкретная теория вероятностей. Лекция 4
A. N. Sobolevski

October 8, 2015   
14. Конкретная теория вероятностей. Лекция 3
A. N. Sobolevski

September 24, 2015   
15. Конкретная теория вероятностей. Лекция 2
A. N. Sobolevski

September 17, 2015   
16. Конкретная теория вероятностей. Лекция 1
A. N. Sobolevski

September 10, 2015   
17. О динамике лагранжевых траекторий в решениях уравнений Гамильтона–Якоби с выпуклым гамильтонианом
A. N. Sobolevski
Seminar "Optimal Control and Dynamical Systems"
February 12, 2014 12:00
18. Dynamics and Singularities in Models of Inertial Transport of Mass
A. N. Sobolevski
Dobrushin Mathematics Laboratory Seminar
September 17, 2013 16:00
19. Efficient optimal transport in 1D: not as trivial as it may seem
A. N. Sobolevski
PreMoLab Seminar
April 18, 2013 17:00
20. Уравнения космологической эволюции с точки зрения математика: зачем и как их решать?
A. N. Sobolevski
Mathematical Seminar
April 2, 2013   
21. Cosmological evolution equations: how and why to solve them?
A. N. Sobolevski
Globus Seminar
March 21, 2013 15:40   
22. Вариации на тему задачи Монжа–Канторовича
A. N. Sobolevskii
Mathematical Seminar
April 10, 2012   
23. Dynamics inside singularities of viscosity solutions to the Hamilton – Jacobi equation
K. M. Khanin, A. N. Sobolevskii
PreMoLab Seminar
March 22, 2012 17:00
24. On one problem of constructing a minimum-weight perfect matching
A. N. Sobolevskii
Dobrushin Mathematics Laboratory Seminar
December 20, 2011 16:00
25. One-dimensional Transportation Optimization on a Circle - Effective Algorithm and Applications
A. N. Sobolevski
Dobrushin Mathematics Laboratory Seminar
February 1, 2011 16:00

Organisations
 
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