A reconstruction of the initial conditions of the Universe by optimal mass transportation U Frisch, S Matarrese, R Mohayaee, A Sobolevski Nature 417, 260-262, 2001 | 208 | 2001 |
Reconstruction of the early Universe as a convex optimization problem Y Brenier, U Frisch, M Hénon, G Loeper, S Matarrese, R Mohayaee, ... Monthly Notices of the Royal Astronomical Society 346 (2), 501-524, 2003 | 191 | 2003 |
Idempotent interval analysis and optimization problems GL Litvinov, AN Sobolevskiī Reliable Computing 7 (5), 353-377, 2001 | 95 | 2001 |
Fast transport optimization for Monge costs on the circle J Delon, J Salomon, A Sobolevskii SIAM Journal on Applied Mathematics 70 (7), 2239-2258, 2010 | 57 | 2010 |
Local matching indicators for transport problems with concave costs J Delon, J Salomon, A Sobolevski SIAM Journal on Discrete Mathematics 26 (2), 801-827, 2012 | 38 | 2012 |
Patterns of macroeconomic indicators preceding the unemployment rise in Western Europe and the USA VI Keilis-Borok, AA Soloviev, CB Allegre, AN Sobolevskii, MD Intriligator Pattern Recognition 38 (3), 423-435, 2005 | 34 | 2005 |
Reconstruction of the primordial Universe by a Monge--Ampere--Kantorovich optimisation scheme R Mohayaee, U Frisch, S Matarrese, A Sobolevskii Astronomy and Astrophysics 406 (2), 393-401, 2003 | 34 | 2003 |
On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations K Khanin, A Sobolevski Archive for Rational Mechanics and Analysis 219 (2), 861-885, 2016 | 26 | 2016 |
On dynamics of Lagrangian trajectories for Hamilton–Jacobi equations K Khanin, A Sobolevski Archive for Rational Mechanics and Analysis 219 (2), 861-885, 2016 | 26 | 2016 |
On dynamics of Lagrangian trajectories for Hamilton–Jacobi equations K Khanin, A Sobolevski Archive for Rational Mechanics and Analysis 219 (2), 861-885, 2016 | 26 | 2016 |
Particle dynamics inside shocks in Hamilton–Jacobi equations K Khanin, A Sobolevski Philosophical Transactions of the Royal Society of London A: Mathematical …, 2010 | 26 | 2010 |
Idempotent mathematics and interval analysis GL Litvinov, VP Maslov, AN Sobolevskii Preprint ESI 632, 1998 | 26 | 1998 |
Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface K Khanin, S Nechaev, G Oshanin, A Sobolevski, O Vasilyev Physical Review E 82 (6), 061107, 2010 | 23 | 2010 |
Universal algorithms, mathematics of semirings and parallel computations GL Litvinov, VP Maslov, AY Rodionov, AN Sobolevski Coping with Complexity: Model Reduction and Data Analysis, 63-89, 2011 | 21 | 2011 |
Exact interval solutions to the discrete Bellman equation and polynomial complexity of problems in interval idempotent linear algebra G Litvinov, A Sobolevskii Arxiv preprint math/0101041, 2001 | 19 | 2001 |
The Monge–Ampère–Kantorovich approach to reconstruction in cosmology R Mohayaee, A Sobolevskiĭ Physica D: Nonlinear Phenomena 237 (14), 2145-2150, 2008 | 18 | 2008 |
Universal algorithms for solving the matrix Bellman equations over semirings GL Litvinov, AY Rodionov, SN Sergeev, AN Sobolevski Soft Computing 17 (10), 1767-1785, 2013 | 17 | 2013 |
Application of Optimal Transport Theory to Reconstruction of the Early Universe U Frisch, A Sobolevskii Journal of Mathematical Sciences 133 (4), 1539-1542, 2006 | 15* | 2006 |
Periodic solutions of the Hamilton-Jacobi equation with a periodic non-homogeneous term and Aubry-Mather theory AN Sobolevskii Sbornik: Mathematics 190 (10), 1487, 1999 | 15 | 1999 |
General introduction G Eyink, U Frisch, R Moreau, A Sobolevskiĭ Physica D: Nonlinear Phenomena 14 (237), xi-xv, 2008 | 11* | 2008 |