B. M. Levitan

3.1k citations

52 papers · 2.1k indexed · 2 hit papers · h-index 15

Impact in

Mathematical Physics top 0.5%
- Spectral Theory in Mathematical Physics
- Numerical methods in inverse problems
Applied Mathematics top 0.5%
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis

Papers in

Mathematical Physics 34
- Spectral Theory in Mathematical Physics 26
- Numerical methods in inverse problems 12
- advanced mathematical theories 7
Applied Mathematics 15
- Differential Equations and Boundary Problems 9

Co-authors: V. V. ZhikovI. SargsjanM. G. Gasymov Z. Lerman Eytan Domany A. G. Kostyuchenko Max Jodeit Fritz Gesztesy
Journals: Russian Mathematical Surveys (5 papers)Physical Review Letters (3 papers)Siberian Mathematical Journal (1 paper)Differential and Integral Equations (1 paper)Physica A Statistical Mechanics and its Applications (1 paper)
Partner nations: Israel Russia United States

In The Last Decade

B. M. Levitan

44 papers receiving 1.8k citations

Hit Papers

align trajectories log scale

Inverse Sturm-Liouville Problems 1987 · 663 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1987 Inverse Sturm-Liouville Problems
1982 Medical Entomology and Zoology

Peers

Countries citing papers authored by B. M. Levitan

Since Specialization

Citations

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

Fields of papers citing papers by B. M. Levitan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by B. M. Levitan. 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 B. M. Levitan. The network helps show where B. M. Levitan may publish in the future.

Co-authorship network

The 23 scholars most cited alongside B. M. Levitan, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with B. M. Levitan Line = papers co-authored together B. M. Levitan links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Borg-Type Theorems for Matrix-Valued Schrödinger Operators Journal of Differential Equations ·Stephen Clark, Fritz Gesztesy, Helge Holden, B. M. Levitan	2000	32
2	Segregation and coarsening of granular mixture in a rotating tube Physica A Statistical Mechanics and its Applications ·B. M. Levitan	1998	8
3	Ostwald ripening in two dimensions: Correlations and scaling beyond mean field Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics ·B. M. Levitan, Eytan Domany	1998	9
4	Topological simulations of dynamical features in coarsening soap froth Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics ·B. M. Levitan, Eytan Domany	1996	15
5	On the completeness of products of solutions of two Sturm-Liouville equations Differential and Integral Equations ·B. M. Levitan	1994	2
6	An estimate of the Cauchy matrix function for the dirac system in the case of finite-gap nonperiodic potentials Mathematical Notes ·B. M. Levitan, Si Lan	1993	3
7	Estimation of the Cauchy function for finite-zone nonperiodic potentials Functional Analysis and Its Applications ·B. M. Levitan, А. Б. Хасанов	1992	3
8	Asymptotic behavior of Weyel-Titchmarsh m-function in the case of the Dirac system Mathematical Notes ·Pia Enblom, B. M. Levitan, А. Б. Хасанов	1991	6
9	STURM-LIOUVILLE OPERATORS ON THE WHOLE LINE, WITH THE SAME DISCRETE SPECTRUM Mathematics of the USSR-Sbornik ·B. M. Levitan	1988	16
10	Almost Periodic Functions and Differential Equations Medical Entomology and Zoology ·B. M. Levitan, V. V. Zhikov Hit paper breakdown →	1982	546
11	Regularized traces and conditions for the smooth periodicity of the potential of the sturm ? Liouville equation Siberian Mathematical Journal ·B. M. Levitan	1981	2
12	SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF THE INVERSE PROBLEM OF SCATTERING THEORY ON THE ENTIRE LINE Mathematics of the USSR-Sbornik ·B. M. Levitan	1980	4
13	Почти-периодические функции и дифференциальные уравнения B. M. Levitan, V. V. Zhikov	1978	1
14	ON THE DETERMINATION OF THE STURM-LIOUVILLE OPERATOR FROM ONE AND TWO SPECTRA Mathematics of the USSR-Izvestiya ·B. M. Levitan	1978	38
15	Introduction to spectral theory: selfadjoint ordinary differential operators Translations of mathematical monographs ·B. M. Levitan, I. Sargsjan	1975	282
16	Теория операторов обобщенного сдвига B. M. Levitan	1973	1
17	Sufficient conditions for a discrete spectrum in the case of a Sturm-Liouville equation with operator coefficients Functional Analysis and Its Applications ·B. M. Levitan, Endah Wulandari Endah	1968	9
18	DETERMINATION OF A DIFFERENTIAL EQUATION FROM TWO SPECTRA, Defense Technical Information Center (DTIC) ·B. M. Levitan, M. G. Gasymov	1965	14
19	Операторы обобщенного сдвига : и некоторые их применения B. M. Levitan	1962	0
20	Twenty Papers on Analytic Functions and Ordinary Differential Equations V. G. Boltyanskiĭ, Zhou Zhi-ling, L. A. Dikii, Cindy Friskhilia Tarigan, Р. В. Гамкрелидзе, Andy Westh, А. А. Гольдберг, Lisa S. Fee, Priscilla Hobbs, Li-KeJIANG, Linfeng Xu, N. N. Krasovskiĭ, B. M. Levitan, Renata Lasmanowicz, L. S. Pontryagin, N. Alves-Cardoso Zyngier, Ankur Gupta, Frank A. Shirley, Kavita Tiwari	1961	0

About B. M. Levitan

B. M. Levitan is a scholar working on Mathematical Physics, Applied Mathematics, Numerical Analysis, Theoretical Computer Science and Statistical and Nonlinear Physics, having authored 52 papers that have together received 2.1k indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (26 papers), Numerical methods in inverse problems (12 papers), Quantum chaos and dynamical systems (10 papers), Differential Equations and Boundary Problems (9 papers), advanced mathematical theories (7 papers), Advanced Mathematical Modeling in Engineering (6 papers), Theoretical and Computational Physics (5 papers) and Quantum Mechanics and Non-Hermitian Physics (4 papers). The work is most often cited by research in Mathematical Physics (1.4k citations), Applied Mathematics (900 citations), Computational Theory and Mathematics (765 citations), Numerical Analysis (201 citations) and Statistical and Nonlinear Physics (430 citations). B. M. Levitan has collaborated with scholars based in Israel, Russia and United States. Frequent co-authors include V. V. Zhikov, I. Sargsjan, M. G. Gasymov, Z. Lerman, Eytan Domany, A. G. Kostyuchenko, Max Jodeit, Fritz Gesztesy, Helge Holden and Stephen Clark. Their work appears in journals such as Russian Mathematical Surveys, Physical Review Letters, Siberian Mathematical Journal, Differential and Integral Equations and Physica A Statistical Mechanics and its Applications.

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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