Andreĭ Sobolevskiĭ

519 total citations
22 papers, 263 citations indexed

About

Andreĭ Sobolevskiĭ is a scholar working on Statistical and Nonlinear Physics, Astronomy and Astrophysics and Applied Mathematics. According to data from OpenAlex, Andreĭ Sobolevskiĭ has authored 22 papers receiving a total of 263 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Statistical and Nonlinear Physics, 6 papers in Astronomy and Astrophysics and 5 papers in Applied Mathematics. Recurrent topics in Andreĭ Sobolevskiĭ's work include Quantum chaos and dynamical systems (6 papers), Cosmology and Gravitation Theories (5 papers) and Black Holes and Theoretical Physics (4 papers). Andreĭ Sobolevskiĭ is often cited by papers focused on Quantum chaos and dynamical systems (6 papers), Cosmology and Gravitation Theories (5 papers) and Black Holes and Theoretical Physics (4 papers). Andreĭ Sobolevskiĭ collaborates with scholars based in Russia, France and United States. Andreĭ Sobolevskiĭ's co-authors include Grigori Litvinov, U. Frisch, Roya Mohayaee, S. Matarrese, M. Hénon, Yann Brenier, Grégoire Loeper, Julien Salomon, Julie Delon and Konstantin Khanin and has published in prestigious journals such as Monthly Notices of the Royal Astronomical Society, Pattern Recognition and Astronomy and Astrophysics.

In The Last Decade

Andreĭ Sobolevskiĭ

22 papers receiving 247 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Andreĭ Sobolevskiĭ Russia 9 87 58 52 42 36 22 263
D. A. Sanchez⋆ France 11 145 1.7× 47 0.8× 52 1.0× 62 1.5× 160 4.4× 32 426
Gábor Tóth Hungary 12 327 3.8× 50 0.9× 87 1.7× 39 0.9× 25 0.7× 43 559
Andrew Russell Forsyth 3 40 0.5× 40 0.7× 70 1.3× 161 3.8× 22 0.6× 4 374
J. Muñoz Masqué Spain 8 92 1.1× 29 0.5× 96 1.8× 78 1.9× 59 1.6× 78 303
John W. Rice Australia 6 47 0.5× 20 0.3× 55 1.1× 71 1.7× 39 1.1× 9 238
Rafał Abłamowicz United States 13 31 0.4× 67 1.2× 284 5.5× 66 1.6× 33 0.9× 32 363
克己 野水 5 108 1.2× 22 0.4× 163 3.1× 75 1.8× 54 1.5× 7 388
Shruti Paranjape United States 12 123 1.4× 21 0.4× 23 0.4× 82 2.0× 209 5.8× 23 347
N. Ya. Vilenkin 6 19 0.2× 34 0.6× 51 1.0× 42 1.0× 27 0.8× 12 197
A. Abad Spain 10 239 2.7× 41 0.7× 8 0.2× 98 2.3× 25 0.7× 41 416

Countries citing papers authored by Andreĭ Sobolevskiĭ

Since Specialization
Citations

This map shows the geographic impact of Andreĭ Sobolevskiĭ's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Andreĭ Sobolevskiĭ with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Andreĭ Sobolevskiĭ more than expected).

Fields of papers citing papers by Andreĭ Sobolevskiĭ

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Andreĭ Sobolevskiĭ. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Andreĭ Sobolevskiĭ. The network helps show where Andreĭ Sobolevskiĭ may publish in the future.

Co-authorship network of co-authors of Andreĭ Sobolevskiĭ

This figure shows the co-authorship network connecting the top 25 collaborators of Andreĭ Sobolevskiĭ. A scholar is included among the top collaborators of Andreĭ Sobolevskiĭ based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Andreĭ Sobolevskiĭ. Andreĭ Sobolevskiĭ is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Khanin, Konstantin & Andreĭ Sobolevskiĭ. (2015). On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations. Archive for Rational Mechanics and Analysis. 219(2). 861–885. 16 indexed citations
2.
Nechaev, Sergei, et al.. (2013). Planar diagrams from optimization for concave potentials. Physical Review E. 87(1). 12102–12102. 2 indexed citations
3.
Litvinov, G. L., et al.. (2013). Universal algorithms for solving the matrix Bellman equations over semirings. Soft Computing. 17(10). 1767–1785. 7 indexed citations
4.
Delon, Julie, Julien Salomon, & Andreĭ Sobolevskiĭ. (2012). Minimum—weight perfect matching for nonintrinsic distances on the line. Journal of Mathematical Sciences. 181(6). 782–791. 5 indexed citations
5.
Delon, Julie, Julien Salomon, & Andreĭ Sobolevskiĭ. (2012). Local Matching Indicators for Transport Problems with Concave Costs. SIAM Journal on Discrete Mathematics. 26(2). 801–827. 8 indexed citations
6.
Nechaev, Sergei, et al.. (2010). Ballistic deposition patterns beneath a growing Kardar-Parisi-Zhang interface. Physical Review E. 82(6). 61107–61107. 10 indexed citations
7.
Delon, Julie, Julien Salomon, & Andreĭ Sobolevskiĭ. (2010). Fast Transport Optimization for Monge Costs on the Circle. SIAM Journal on Applied Mathematics. 70(7). 2239–2258. 16 indexed citations
8.
Delon, Julie, Julien Salomon, & Andreĭ Sobolevskiĭ. (2010). Local matching indicators for concave transport costs. Comptes Rendus Mathématique. 348(15-16). 901–905. 2 indexed citations
9.
Mohayaee, Roya & Andreĭ Sobolevskiĭ. (2008). The Monge–Ampère–Kantorovich approach to reconstruction in cosmology. Physica D Nonlinear Phenomena. 237(14-17). 2145–2150. 10 indexed citations
10.
Eyink, Gregory L., U. Frisch, R. Moreau, & Andreĭ Sobolevskiĭ. (2008). General introduction. Physica D Nonlinear Phenomena. 237(14-17). xi–xv. 3 indexed citations
11.
Frisch, U. & Andreĭ Sobolevskiĭ. (2006). Application of Optimal Transport Theory to Reconstruction of the Early Universe. Journal of Mathematical Sciences. 133(4). 1539–1542. 6 indexed citations
12.
Khanin, Konstantin, et al.. (2005). On the Velocities of Lagrangian Minimizers. Moscow Mathematical Journal. 5(1). 157–169. 1 indexed citations
13.
Frisch, U. & Andreĭ Sobolevskiĭ. (2004). Application of optimal transportation theory to the reconstruction of the early Universe.. 133(1). 303–309. 2 indexed citations
14.
Mohayaee, Roya, U. Frisch, S. Matarrese, & Andreĭ Sobolevskiĭ. (2003). Back to the primordial Universe by a Monge–Ampère–Kantorovich optimization scheme. Astronomy and Astrophysics. 406(2). 393–401. 16 indexed citations
15.
Brenier, Yann, U. Frisch, M. Hénon, et al.. (2003). Reconstruction of the early Universe as a convex optimization problem. Monthly Notices of the Royal Astronomical Society. 346(2). 501–524. 86 indexed citations
16.
Litvinov, Grigori & Andreĭ Sobolevskiĭ. (2001). Idempotent Interval Analysis and Optimization Problems. Reliable Computing. 7(5). 353–377. 45 indexed citations
17.
18.
Sobolevskiĭ, Andreĭ. (1999). Periodic solutions of the Hamilton-Jacobi equation with a periodic non-homogeneous term and Aubry-Mather theory. Sbornik Mathematics. 190(10). 1487–1504. 6 indexed citations
19.
Sobolevskiĭ, Andreĭ. (1999). AUBRY–MATHER THEORY AND IDEMPOTENT EIGENFUNCTIONS OF BELLMAN OPERATOR. Communications in Contemporary Mathematics. 1(4). 517–533. 3 indexed citations
20.
Sobolevskiĭ, Andreĭ. (1998). О периодических решениях уравнения Гамильтона - Якоби с периодической силой. Успехи математических наук. 53(6). 265–266. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by D. A. Sanchez⋆ Breakdown of academic impact, for papers by Gábor Tóth Breakdown of academic impact, for papers by Andrew Russell Forsyth Breakdown of academic impact, for papers by J. Muñoz Masqué Breakdown of academic impact, for papers by John W. Rice Breakdown of academic impact, for papers by Rafał Abłamowicz Breakdown of academic impact, for papers by 克己 野水 Breakdown of academic impact, for papers by Shruti Paranjape Breakdown of academic impact, for papers by N. Ya. Vilenkin Breakdown of academic impact, for papers by A. Abad
Rankless by CCL
2026