А. М. Чеботарев

647 total citations
61 papers, 381 citations indexed

About

А. М. Чеботарев is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Statistical and Nonlinear Physics. According to data from OpenAlex, А. М. Чеботарев has authored 61 papers receiving a total of 381 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 19 papers in Atomic and Molecular Physics, and Optics and 15 papers in Statistical and Nonlinear Physics. Recurrent topics in А. М. Чеботарев's work include advanced mathematical theories (15 papers), Quantum Information and Cryptography (15 papers) and Spectral Theory in Mathematical Physics (14 papers). А. М. Чеботарев is often cited by papers focused on advanced mathematical theories (15 papers), Quantum Information and Cryptography (15 papers) and Spectral Theory in Mathematical Physics (14 papers). А. М. Чеботарев collaborates with scholars based in Russia, Tajikistan and Italy. А. М. Чеботарев's co-authors include Franco Fagnola, V. P. Maslov, Andrey A. Radionov, A. S. Chirkin, A. A. Konstantinov and A. V. Polyakov and has published in prestigious journals such as Physica A Statistical Mechanics and its Applications, Applied Mathematics and Computation and Journal of Functional Analysis.

In The Last Decade

А. М. Чеботарев

50 papers receiving 318 citations

Peers

А. М. Чеботарев

AMPO

SNP

Burkhard Kümmerer Germany

Masao Hirokawa Japan

Vojkan Jakšić Canada

Nicolas Rougerie France

Charles N. Friedman United States

Charles‐Edouard Pfister Switzerland

J. Fernando Perez Brazil

Dario Trevisan Italy

Raphael Ho egh-Krohn Norway

Christof Külske Germany

Burkhard Kümmerer Germany

А. М. Чеботарев

177 ×0.8

AMPO

157 ×0.9

107 ×0.8

56 ×0.5

SNP

81 ×1.6

Citations per year, relative to А. М. Чеботарев А. М. Чеботарев (= 1×) peers Burkhard Kümmerer

Countries citing papers authored by А. М. Чеботарев

Since Specialization

Citations

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

Fields of papers citing papers by А. М. Чеботарев

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by А. М. Чеботарев. 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 А. М. Чеботарев. The network helps show where А. М. Чеботарев may publish in the future.

Co-authorship network of co-authors of А. М. Чеботарев

This figure shows the co-authorship network connecting the top 25 collaborators of А. М. Чеботарев. A scholar is included among the top collaborators of А. М. Чеботарев 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 А. М. Чеботарев. А. М. Чеботарев 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

Чеботарев, А. М., et al.. (2014). Canonical transformations and multipartite coupled parametric processes. Physica Scripta. T160. 14041–14041. 9 indexed citations

Чеботарев, А. М., et al.. (2014). Normal forms, inner products, and Maslov indices of general multimode squeezings. Mathematical Notes. 95(5-6). 721–737. 4 indexed citations

Чеботарев, А. М., et al.. (2013). A new approach to quantum theory of multimode coupled parametric processes. Physica Scripta. T153. 14060–14060. 5 indexed citations

Чеботарев, А. М., et al.. (2011). Сжатые состояния и их применение в задачах квантовой эволюции. Математические заметки. 89(4). 614–634. 9 indexed citations

Чеботарев, А. М.. (2006). On stable Pareto laws in a hierarchical model of economy. Physica A Statistical Mechanics and its Applications. 373. 541–559. 3 indexed citations

Polyakov, A. V. & А. М. Чеботарев. (2004). The Monte Carlo method for the Schrodinger equation with periodic asymmetric potential. Журнал вычислительной математики и математической физики. 44(10). 1898–1908. 1 indexed citations

Чеботарев, А. М. & A. V. Polyakov. (2004). Deviation Estimates for Random Walks and Stochastic Methods for Solving the Schrödinger Equation. Mathematical Notes. 76(3-4). 564–577. 1 indexed citations

Чеботарев, А. М., et al.. (2003). On the Strong Resolvent Convergence of the Schrödinger Evolution to Quantum Stochastics. Mathematical Notes. 74(5-6). 717–733. 1 indexed citations

Чеботарев, А. М.. (2003). A Priori Estimates for Quantum Dynamical Semigroups. Theoretical and Mathematical Physics. 134(2). 160–165. 1 indexed citations

10.

Чеботарев, А. М. & Franco Fagnola. (1998). Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups. Journal of Functional Analysis. 153(2). 382–404. 73 indexed citations

11.

Чеботарев, А. М., et al.. (1998). Quantum stochastic processes arising from the strong resolvent limits of the Schrödinger evolution in Fock space. Banach Center Publications. 43(1). 119–133. 2 indexed citations

12.

Чеботарев, А. М., et al.. (1998). A PRIORI ESTIMATES AND EXISTENCE THEOREMS FOR THE LINDBLAD EQUATION WITH UNBOUNDED TIME-DEPENDENT COEFFICIENTS(Recent Trends in Infinite Dimensional Non-Commutative Analysis). Kyoto University Research Information Repository (Kyoto University). 1035. 44–65. 3 indexed citations

13.

Чеботарев, А. М., et al.. (1997). Квантовое стохастическое уравнение унитарно эквивалентно симметричной краевой задаче для уравнения Шредингера. Математические заметки. 61(4). 612–622. 4 indexed citations

14.

Чеботарев, А. М.. (1995). Logarithmic asymptotics for the solution of the Cauchy problem for the Boltzmann equation. 7(12). 97–106.

15.

Чеботарев, А. М. & Franco Fagnola. (1993). Sufficient Conditions for Conservativity of Quantum Dynamical Semigroups. Journal of Functional Analysis. 118(1). 131–153. 32 indexed citations

16.

Konstantinov, A. A., V. P. Maslov, & А. М. Чеботарев. (1990). Probabilistic representations of solutions of the Cauchy problem for equations of quantum mechanics. Russian Mathematical Surveys. 45(6). 1–26. 2 indexed citations

17.

Чеботарев, А. М.. (1988). The fast Fourier transform in a problem with multiple nodes. 28(2). 278–281. 1 indexed citations

18.

Чеботарев, А. М.. (1983). Formula for the second term of the logarithmic asymptotic of Laplace integrals. Mathematical Notes. 34(2). 620–625. 1 indexed citations

19.

Maslov, V. P. & А. М. Чеботарев. (1976). Dfinition of the Feynman path integral in the $P$-representation. Proceedings of the USSR Academy of Sciences. 229(1). 37–38. 6 indexed citations

20.

Maslov, V. P. & А. М. Чеботарев. (1975). A representation of the solution of an equation of Hartree type in the form of a $T$-mapping. 222(5). 1037–1040. 5 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.

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