A. A. Arsen’ev

466 total citations
46 papers, 281 citations indexed

About

A. A. Arsen’ev is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Applied Mathematics. According to data from OpenAlex, A. A. Arsen’ev has authored 46 papers receiving a total of 281 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Mathematical Physics, 18 papers in Atomic and Molecular Physics, and Optics and 15 papers in Applied Mathematics. Recurrent topics in A. A. Arsen’ev's work include Spectral Theory in Mathematical Physics (18 papers), Advanced Mathematical Modeling in Engineering (7 papers) and Numerical methods in inverse problems (7 papers). A. A. Arsen’ev is often cited by papers focused on Spectral Theory in Mathematical Physics (18 papers), Advanced Mathematical Modeling in Engineering (7 papers) and Numerical methods in inverse problems (7 papers). A. A. Arsen’ev collaborates with scholars based in Russia. A. A. Arsen’ev's co-authors include N. V. Peskov, Andreĭ Nikolaevich Tikhonov and A. A. Samarskiĭ and has published in prestigious journals such as Sbornik Mathematics, Theoretical and Mathematical Physics and Differential Equations.

In The Last Decade

A. A. Arsen’ev

28 papers receiving 226 citations

Peers

A. A. Arsen’ev

AMPO

SNP

S. Caprino Italy

Xuguang Lu China

Alain Soyeur France

Daniel Han-Kwan France

Wolfgang Tutschke Austria

Xiaohua Yao China

Maria C. Carvalho United States

Seok-Bae Yun South Korea

Simone Di Marino Italy

Günter Schwarz Germany

S. Caprino Italy

A. A. Arsen’ev

236 ×1.1

74 ×0.5

83 ×1.2

91 ×1.3

AMPO

89 ×2.0

SNP

Citations per year, relative to A. A. Arsen’ev A. A. Arsen’ev (= 1×) peers S. Caprino

Countries citing papers authored by A. A. Arsen’ev

Since Specialization

Citations

This map shows the geographic impact of A. A. Arsen’ev'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 A. A. Arsen’ev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. A. Arsen’ev more than expected).

Fields of papers citing papers by A. A. Arsen’ev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. A. Arsen’ev. 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 A. A. Arsen’ev. The network helps show where A. A. Arsen’ev may publish in the future.

Co-authorship network of co-authors of A. A. Arsen’ev

This figure shows the co-authorship network connecting the top 25 collaborators of A. A. Arsen’ev. A scholar is included among the top collaborators of A. A. Arsen’ev 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 A. A. Arsen’ev. A. A. Arsen’ev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Arsen’ev, A. A.. (2004). Резонансы и туннелирование при рассеянии на квантовом бильярде в приближении сильной связи. Теоретическая и математическая физика. 141(1). 100–112. 2 indexed citations

Arsen’ev, A. A.. (2004). Relation Between a Pole of the Scattering Matrix and the Transmission and Reflection Coefficients in Scattering in a Quantum Waveguide. Theoretical and Mathematical Physics. 140(2). 1151–1156. 1 indexed citations

Arsen’ev, A. A.. (2004). Complex Scaling for a Waveguide Scattering Problem. Differential Equations. 40(2). 199–206. 1 indexed citations

Arsen’ev, A. A.. (2003). Резонансное рассеяние в квантовых волноводах. Математический сборник. 194(1). 3–22. 1 indexed citations

Arsen’ev, A. A.. (2003). Mathematical Model of Resonances and Tunneling in a System with a Bound State. Theoretical and Mathematical Physics. 136(3). 1336–1345. 3 indexed citations

Arsen’ev, A. A.. (2003). Resonance scattering in quantum wave guides. Sbornik Mathematics. 194(1). 1–19. 2 indexed citations

Arsen’ev, A. A.. (2001). Математическая модель резонансного рассеяния. Математические заметки. 70(4). 491–502. 2 indexed citations

Arsen’ev, A. A.. (2001). Behaviour of the scattering amplitude of the Helmholtz resonator near a resonance. Sbornik Mathematics. 192(9). 1259–1273.

Arsen’ev, A. A.. (1997). Estimate of the solution of the scattering problem for a one-dimensional trapping potential. Sbornik Mathematics. 188(12). 1731–1738.

10.

Arsen’ev, A. A.. (1996). Резонансы матрицы рассеяния и квазиуровни. Теоретическая и математическая физика. 106(1). 16–23. 1 indexed citations

11.

Arsen’ev, A. A.. (1987). Approximation of the Boltzmann equation by the Ito stochastic equations. Soviet physics. Doklady. 32. 215.

12.

Arsen’ev, A. A.. (1984). ON INVARIANT MEASURES FOR CLASSICAL DYNAMICAL SYSTEMS WITH INFINITE-DIMENSIONAL PHASE SPACE. Mathematics of the USSR-Sbornik. 49(2). 291–303. 3 indexed citations

13.

Arsen’ev, A. A.. (1983). Estimate of the critical density of Bose-Einstein condensation in a periodic potential. Theoretical and Mathematical Physics. 55(1). 419–422. 8 indexed citations

14.

Arsen’ev, A. A.. (1981). ON STATISTICAL SOLUTIONS OF THE NAVIER-STOKES SYSTEM OF EQUATIONS. Mathematics of the USSR-Sbornik. 38(1). 31–45. 1 indexed citations

15.

Arsen’ev, A. A.. (1977). CONSTRUCTION OF A TURBULENT MEASURE FOR VLASOV'S SUSTEM OF EQUATIONS. Mathematics of the USSR-Sbornik. 31(1). 9–27. 2 indexed citations

16.

Arsen’ev, A. A.. (1975). Existence in the large of a weak solution to the Vlasov system of equations. 15. 136–147. 4 indexed citations

17.

Arsen’ev, A. A.. (1975). Global existence of a weak solution of vlasov's system of equations. USSR Computational Mathematics and Mathematical Physics. 15(1). 131–143. 92 indexed citations

18.

Arsen’ev, A. A.. (1975). Existence and uniqueness of the classical solution of vlasov's system of equations. USSR Computational Mathematics and Mathematical Physics. 15(5). 252–258. 7 indexed citations

19.

Arsen’ev, A. A.. (1972). On features of the analytic continuation and resonance properties of the solution of the scattering problem for Helmholtz's equation. USSR Computational Mathematics and Mathematical Physics. 12(1). 139–173. 5 indexed citations

20.

Tikhonov, Andreĭ Nikolaevich, A. A. Samarskiĭ, & A. A. Arsen’ev. (1972). A method for the asymptotic estimation of integrals. USSR Computational Mathematics and Mathematical Physics. 12(4). 196–206. 3 indexed citations

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