Russian Academy of Sciences

Landau Institute for Theoretical Physics

Andrei N. Sobolevski

Leading researcher

Doctor of science

Date of birth: 15 July 1974

Email:

Publications

    1. G.L. Litvinov, A.Ya. Rodionov, S. Sergeev, A.N. Sobolevskii, Universal’nye algoritmy resheniya diskretnykh statsionarnykh uravnenii Bellmana, Vestnik Rossiiskikh universitetov. Matematika, 24(128), 393-431 (2019), RINTs: 41720281, EDN: MOHJBX.
    2. K. Khanin, A. Sobolevski, On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations, Archive for Rational Mechanics and Analysis, 219(2), 861-885 (2016); arXiv:1211.7084, WoS: 000367515900009, Scopus: 2-s2.0-84952631797, ADS: 2016ArRMA.219..861K, MathSciNet: 3437865, zbMath: 1333.35201.
    3. A.V. Kroshnin, A.N. Sobolevskii, Baritsentry Freshe i zakon bol’shikh chisel dlya mer na veshchestvennoi pryamoi, Trudy MFTI, 8(2), 112-125 (2016) [A. Kroshnin, A. Sobolevski, Fréchet Barycenters and the law of large numbers for measures on the real line, arXiv:1512.08421 [math.PR]]; arXiv:1512.08421, ADS: arXiv:1512.08421, RINTs: 26188811, zbMath: arXiv:1512.08421, EDN: EDN: WBCILP.
    4. G.I. Rozhkova, A.N. Sobolevski, Scientific Activity of Alfred Yarbus: The Stages of Research Work, Senior and Younger Colleagues, Conditions of Investigations (Editorial), Perception 44, 837-850 (2015), Scopus: 2-s2.0-84945331490.
    5. M. Novaga, E. Stepanov, A. Sobolevski, Droplet condensation and isoperimetric towers, Pacific J. Math., 262(2), 457-480 (2013), Scopus: 2-s2.0-84878701607, ADS: 2013arXiv1303.5202N, zbMath: 1278.49047.
    6. S.K. Nechaev, A.N. Sobolevski, O.V. Valba, Planar diagrams from optimization for concave potentials, Physical Review E 87, 012102 (2013); arXiv:1203.3248, Scopus: 2-s2.0-84872543904, ADS: 2013PhRvE..87a2102N.
    7. G.L. Litvinov, A.Ya. Rodionov, S.N. Sergeev, A.N. Sobolevski, Universal algorithms for solving the matrix Bellman equations over semirings, Soft Computing, 17(10), 1767-1785 (2013), Scopus: 2-s2.0-84883822084, zbMath: 1327.65082.
    8. J. Delon, J. Salomon, A. Sobolevski, Local matching indicators for concave transport costs, SIAM J. Discrete Math. 26, 801-827 (2012); arXiv:1102.1795, Scopus: 2-s2.0-84865618976.
    9. J. Delon, J. Salomon, A. Sobolevski, Minimum-weight matching for non-intrinsic distances on the line, Zapiski nauchnykh seminarov POMI 390, 52-68 (2011) [J. Delon, J. Salomon, A. Sobolevski, Minimum-weight matching for non-intrinsic distances on the line, J. Mathematical Sciences, 181(6), 782-791 (2012)]; arXiv:1102.1558, Scopus: 2-s2.0-84858746659.
    10. G. Litvinov, V. P. Maslov, A. Sobolevski, A.Ya. Rodionov, Universal algorithms, mathematics of semirings and parallel computations, Lecture Notes in Computational Science and Engineering, Vol. 75, 63–89 (2011) [International Research Workshop: Coping with Complexity: Model Reduction and Data Analysis, A.N. Gorban and D. Roose (eds.), Springer-Verlag], Scopus: 2-s2.0-78651568568.
    11. J. Delon, J. Salomon, A. Sobolevskii, Local matching indicators for concave transport costs, C. R. Acad. Sci. Paris Sér. I Math., 348, 901-905 (2010); arXiv:0912.0179.
    12. K. Khanin, A. Sobolevski, Particle dynamics inside shocks in Hamilton–Jacobi equations. Theme issue “Turbulent mixing and beyond”, Phil. Trans. R. Soc. A, 368(1916), 1579-1593 (2010); arXiv:1001.0498, Scopus: 2-s2.0-77950943621.
    13. K. Khanin, S. Nechaev, G. Oshanin, A. Sobolevski, O. Vasilyev, Ballistic deposition patterns beneath a growing Kardar–Parisi–Zhang interface, Phys. Rev. E 82, 061107 (2010); arXiv:1006.4576, Scopus: 2-s2.0-78651464534.
    14. J. Delon, J. Salomon, A. Sobolevskii, Fast transport optimization for Monge costs on the circle, SIAM J. Appl. Math., 70(7), 2239-2258 (2010); arXiv:0902.3527, Scopus: 2-s2.0-77955774805.
    15. A.N. Sobolevskii, Vypuklyi analiz, tropicheskaya algebra i obrabotka astronomicheskikh dannykh, V sb.: Matematicheskii forum, t. 2: Issledovaniya po vypuklomu analizu. Pod red. V. M. Tikhomirova, Vladikavkaz, 2009. c. 230–233.
    16. R. Mohayaee, A. Sobolevskii, The Monge-Ampère-Kantorovich approach to reconstruction in cosmology, Physica D 237(14-17), 2145-2150 (2008); arXiv:0712.2561, Scopus: 2-s2.0-47049120249.
    17. A.A. Kurnosov, A.N. Sobolevskii, Variatsionnyi podkhod k vosstanovleniyu pekulyarnykh skorostei galaktik, Vestnik MGU, ser. 3: Fizika i astronomiya, № 3, 18-21 (2007).
    18. A.A. Andrievskii, S.N. Gurbatov, A.N. Sobolevskii, Ballisticheskaya agregatsiya v simmetrichnykh i nesimmetrichnykh techeniyakh, ZhETF, 131(6), 1018-1029 (2007) [A.A. Andrievsky, S.N. Gurbatov, A.N. Sobolevsky, Ballistic aggregation in symmetric and nonsymmetric flows, JETP, 104(6), 887-896 (2007)]; nlin.PS/0601006.
    19. K.M. Khanin, D.V. Khmelev, A.N. Sobolevskii, On the velocities of Lagrangian minimizers, Moscow Math. J., 5(1), 157-169 (2005), WoS: 000208595200010, MathSciNet: 2153472, zbMath: 1092.37040.
    20. V.I. Keilis-Borok, A.A. Soloviev, C.B. Allègre, A.N. Sobolevskii, M.D. Intriligator, Patterns of macroeconomic indicators preceding the unemployment rise in Western Europe and the USA, Pattern Recognition, 38, 423-435 (2005).
    21. K. Khanin, D. Khmelev, A. Sobolevskii, A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain, Contemporary Mathematics, 377, 161-179 (2005) [Idempotent Mathematics and Mathematical Physics. Proc. Int. Workshop, Vienna, Austria, Feb. 3-10, 2003. Ed. by G.L. Litvinov, V.P. Maslov. AMS, Providence, 2005, ISBN 0-8218-3538-6]; math/0312395, MathSciNet: 2149003.
    22. A.N. Sobolevskii, U. Frish, Prilozhenie teorii transportnoi optimizatsii k vosstanovleniyu rannei Vselennoi, V sb.: A. M. Vershik (red.), Teoriya predstavlenii i dinamicheskie sistemy, t. XI. POMI, SPb., 2004, 303-309 [U. Frisch, A. Sobolevskii, Application of optimal transport theory to reconstruction of the early Universe, J. Math. Sciences, 133, 1539-1542 (2006)].
    23. R. Mohayaee, U. Frisch, S. Matarrese, A. Sobolevskii, Back to the primordial Universe by a Monge–Ampère–Kantorovich optimisation scheme, Astron. & Astrophys., 406, 393–401 (2003).
    24. Y. Brenier, U. Frisch, M. Henon, G. Loeper, S. Matarrese, R. Mohayaee, A. Sobolevskiĭ, Reconstruction of the early Universe as a convex optimization problem, Mon. Not. R. Astron. Soc., 346(2), 501–524 (2003); astro-ph/0304214, WoS: 000186698700021, Scopus: 2-s2.0-0344585375, ADS: 2003MNRAS.346..501B, RINTs: 13434207, MathSciNet: 1956851, zbMath: arXiv:astro-ph/0304214.
    25. Uriel Frisch, Sabino Matarrese, Roya Mohayaee, Andrei Sobolevski, A reconstruction of the initial conditions of the Universe by optimal mass transportation, Nature, 417, 260–262 (2002); astro-ph/0109483, WoS: 000175592100039, Scopus: 2-s2.0-0037118068, ADS: 2001astro.ph..9483F, MathSciNet: 1740158, zbMath: arXiv:astro-ph/0109483.
    26. G.L. Litvinov, A.N. Sobolevskii, Idempotent interval analysis and optimization problems, Reliable Computing, 7(5), 353-377 (2001).
    27. G.L. Litvinov, V.P. Maslov, A.N. Sobolevskii, Idempotentnaya matematika i interval’nyi analiz, Vychislitel’nye tekhnologii, 6(6), 47-70 (2001).
    28. G.L. Litvinov, A.N. Sobolevskii, Tochnye interval’nye resheniya diskretnogo uravneniya Bellmana i polinomial’naya slozhnost’ zadach interval’noi idempotentnoi lineinoi algebry, Doklady RAN, 374(3), 304-306 (2000).
    29. A.N. Sobolevskii, Aubry-Mather theory and idempotent eigenfunctions of Bellman operator, Commun. Contemp. Math., 1(4), 517–533 (1999); chao-dyn/9906036, WoS: 000086128800003, Scopus: 2-s2.0-22844456446, ADS: 1999chao.dyn..6036S, RINTs: 13307535, MathSciNet: 1719691, zbMath: 1071.37513, EDN: LFFLAR.
    30. A.N. Sobolevskii, Interval’naya arifmetika i lineinaya algebra nad idempotentnymi polukol’tsami, Doklady RAN, 369(6), 747–749 (1999) [A.N. Sobolevskij, Interval arithmetic and linear algebra over idempotent semirings, Dokl. Math. 60, No. 3, 431-433 (1999)], Scopus: 2-s2.0-0346515647, RINTs: 13317990, zbMath: 1107.90454, EDN: LFLJRV.
    31. A.N. Sobolevskii, Periodicheskie resheniya uravneniya Gamil’tona–Yakobi s periodicheskoi neodnorodnost’yu i teoriya Obri–Mezera, Matem. sb., 190(10), 87-104 (1999) [A.N. Sobolevskii, Periodic solutions of the Hamilton-Jacobi equation with a periodic non-homogeneous term and Aubry-Mather theory, Sbornik: Mathematics, 190(10), 1487-1504 (1999)]; chao-dyn/9906035, WoS: 000085043300011, Scopus: 2-s2.0-0033236641, ADS: 1999chao.dyn..6035S, MathSciNet: 1740158, zbMath: 0947.35035.
    32. A.N. Sobolevskii, O periodicheskikh resheniyakh uravneniya Gamil’tona–Yakobi s periodicheskoi siloi, UMN, 53:6(324), 265–266 (1998) [A.N. Sobolevskii, Periodic solutions of the Hamilton–Jacobi equation with a periodic forcing term, Russian Math. Surveys, 53(6), 1375-1376 (1998)], WoS: 000081776300022, Scopus: 2-s2.0-0039286249, ADS: 1998RuMaS..53.1375S, MathSciNet: 1702622, zbMath: 0932.35041.
    33. A.N. Sobolevskii, Metod maloi vyazkosti dlya odnomernoi sistemy uravnenii tipa gazovoi dinamiki bez davleniya, Dokl. AN SSSR, 356(3), 310-312 (1997) [A.N. Sobolevskij, The small viscosity method for one-dimensional equations of the gas dynamics type without pressure, Doklady Mathematics, 56(2), 707-709 (1997)], WoS: 000081776300022, Scopus: 2-s2.0-0039976581, RINTs: 14995616, MathSciNet: 1601547, zbMath: 0982.76543, EDN: MQDWQP.