Michael Levitin

1.1k total citations
35 papers, 642 citations indexed

About

Michael Levitin is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Michael Levitin has authored 35 papers receiving a total of 642 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 16 papers in Computational Theory and Mathematics and 13 papers in Applied Mathematics. Recurrent topics in Michael Levitin's work include Spectral Theory in Mathematical Physics (18 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Numerical methods in inverse problems (10 papers). Michael Levitin is often cited by papers focused on Spectral Theory in Mathematical Physics (18 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Numerical methods in inverse problems (10 papers). Michael Levitin collaborates with scholars based in United Kingdom, Canada and United States. Michael Levitin's co-authors include Dmitri Vassiliev, D. V. Evans, Leonid Parnovski, Iosif Polterovich, Dmitry Jakobson, Nikolaï Nadirashvili, M. S. Agranovich, Nilima Nigam, Jacqueline Fleckinger and Marco Marletta and has published in prestigious journals such as Journal of Fluid Mechanics, Inventiones mathematicae and Journal of Mathematical Physics.

In The Last Decade

Michael Levitin

31 papers receiving 577 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael Levitin United Kingdom	13	368	294	134	120	111	35	642
Vladislav V. Kravchenko Mexico	17	561 1.5×	186 0.6×	594 4.4×	219 1.8×	216 1.9×	108	979
Gregory Eskin United States	18	639 1.7×	410 1.4×	313 2.3×	62 0.5×	37 0.3×	54	852
B. Yu. Sternin Russia	11	334 0.9×	86 0.3×	261 1.9×	82 0.7×	69 0.6×	79	549
V. E. Shatalov Russia	11	197 0.5×	78 0.3×	174 1.3×	75 0.6×	64 0.6×	36	422
Vadim Kostrykin Germany	12	171 0.5×	80 0.3×	28 0.2×	149 1.2×	68 0.6×	42	430
M. S. Agranovich Russia	17	656 1.8×	666 2.3×	783 5.8×	74 0.6×	43 0.4×	50	1.2k
A. F. dos Santos Portugal	13	132 0.4×	127 0.4×	183 1.4×	80 0.7×	17 0.2×	52	380
Claus Müller Germany	11	184 0.5×	94 0.3×	116 0.9×	89 0.7×	24 0.2×	23	423
A. G. Sveshnikov Russia	11	97 0.3×	47 0.2×	121 0.9×	199 1.7×	41 0.4×	102	494
M. V. Fedoryuk Russia	10	122 0.3×	52 0.2×	114 0.9×	112 0.9×	104 0.9×	28	375

Countries citing papers authored by Michael Levitin

Since Specialization

Citations

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

Fields of papers citing papers by Michael Levitin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Levitin. 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 Michael Levitin. The network helps show where Michael Levitin may publish in the future.

Co-authorship network of co-authors of Michael Levitin

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Levitin. A scholar is included among the top collaborators of Michael Levitin 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 Michael Levitin. Michael Levitin 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

Filonov, N., et al.. (2024). Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk. Journal of Spectral Theory. 14(2). 597–618. 1 indexed citations

Filonov, N., et al.. (2024). Uniform Enclosures for the Phase and Zeros of Bessel Functions and their Derivatives. SIAM Journal on Mathematical Analysis. 56(6). 7644–7682.

Friedlander, Leonid, et al.. (2023). Two-Term Spectral Asymptotics in Linear Elasticity. Journal of Geometric Analysis. 33(8).

Filonov, N., et al.. (2023). Pólya’s conjecture for Euclidean balls. Inventiones mathematicae. 234(1). 129–169. 11 indexed citations

Levitin, Michael, et al.. (2023). Topics in Spectral Geometry. Graduate studies in mathematics. 13 indexed citations

Gover, A. Rod, et al.. (2016). Zero and negative eigenvalues of the conformal Laplacian. Bristol Research (University of Bristol).

Davies, E. B. & Michael Levitin. (2014). Spectra of a class of non-self-adjoint matrices. Linear Algebra and its Applications. 448. 55–84. 2 indexed citations

Levitin, Michael, et al.. (2010). Operator Theory and Its Applications. arXiv (Cornell University). 3 indexed citations

Benguria, Rafael D., Michael Levitin, & Leonid Parnovski. (2009). Fourier transform, null variety, and Laplacian's eigenvalues. Journal of Functional Analysis. 257(7). 2088–2123. 2 indexed citations

10.

Levitin, Michael & Leonid Parnovski. (2008). On the principal eigenvalue of a Robin problem with a large parameter. Mathematische Nachrichten. 281(2). 272–281. 38 indexed citations

11.

Levitin, Michael & Marco Marletta. (2008). A simple method of calculating eigenvalues and resonances in domains with infinite regular ends. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 138(5). 1043–1065. 12 indexed citations

12.

Jakobson, Dmitry, Michael Levitin, Nikolaï Nadirashvili, & Iosif Polterovich. (2005). Spectral problems with mixed Dirichlet–Neumann boundary conditions: Isospectrality and beyond. Journal of Computational and Applied Mathematics. 194(1). 141–155. 22 indexed citations

13.

Levitin, Michael, et al.. (2003). Range of the First Three Eigenvalues of the Planar Dirichlet Laplacian. LMS Journal of Computation and Mathematics. 6. 1–17. 10 indexed citations

14.

Levitin, Michael & Leonid Parnovski. (2002). Commutators, Spectral Trace Identities, and Universal Estimates for Eigenvalues. Journal of Functional Analysis. 192(2). 425–445. 39 indexed citations

15.

Agranovich, M. S., et al.. (1999). Spectral Problems for the Lamé System with Spectral Parameter in Boundary Conditions on Smooth or Nonsmooth Boundary. Russian Journal of Mathematical Physics. 6(3). 247–281. 23 indexed citations

16.

Levitin, Michael. (1998). Dirichlet and Neumann heat invariants for Euclidean balls. Differential Geometry and its Applications. 8(1). 35–46. 4 indexed citations

17.

Levitin, Michael, et al.. (1997). A disc‐on‐flat wear test under starved lubrication. Tribotest. 4(2). 159–166.

18.

Levitin, Michael, et al.. (1991). Forced vibrations of a shell immersed in a viscous compressible fluid. Functional Analysis and Its Applications. 25(4). 309–311. 1 indexed citations

19.

Levitin, Michael, et al.. (1989). Forced vibrations of a thin elastic shell filled with a viscous compressible fluid. Soviet physics. Doklady. 34. 215. 1 indexed citations

20.

Levitin, Michael. (1987). Normal-mode spectrum of a shell filled with a viscous compressible fluid. Soviet physics. Doklady. 32. 638. 1 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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