Leonid Parnovski

617 total citations
32 papers, 308 citations indexed

About

Leonid Parnovski is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Leonid Parnovski has authored 32 papers receiving a total of 308 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Mathematical Physics, 19 papers in Computational Theory and Mathematics and 8 papers in Statistical and Nonlinear Physics. Recurrent topics in Leonid Parnovski's work include Spectral Theory in Mathematical Physics (25 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Numerical methods in inverse problems (12 papers). Leonid Parnovski is often cited by papers focused on Spectral Theory in Mathematical Physics (25 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Numerical methods in inverse problems (12 papers). Leonid Parnovski collaborates with scholars based in United Kingdom, United States and Canada. Leonid Parnovski's co-authors include Michael Levitin, Alexander V. Sobolev, Roman Shterenberg, Iosif Polterovich, Pavel Exner, E. R. Johnson, Dmitri Vassiliev, Gerassimos Barbatis, A. Artemev and Robert Nyden Hill and has published in prestigious journals such as Journal of Fluid Mechanics, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Leonid Parnovski

29 papers receiving 287 citations

Peers

Leonid Parnovski

CTM

SNP

AMPO

T. Ya. Azizov Russia

Yu. Safarov United Kingdom

Sergey A. Denisov United States

А. М. Савчук Russia

Yuri A. Kordyukov Russia

T. J. Christiansen United States

Johann Walter Germany

J. Dombrowski United States

N. Filonov Russia

M. Cristina Câmara Portugal

T. Ya. Azizov Russia

Leonid Parnovski

191 ×0.8

163 ×0.9

CTM

123 ×1.4

32 ×0.6

SNP

16 ×0.6

AMPO

Citations per year, relative to Leonid Parnovski Leonid Parnovski (= 1×) peers T. Ya. Azizov

Countries citing papers authored by Leonid Parnovski

Since Specialization

Citations

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

Fields of papers citing papers by Leonid Parnovski

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Leonid Parnovski

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

Parnovski, Leonid, et al.. (2025). Perturbative Diagonalization and Spectral Gaps of Quasiperiodic Operators on $$\ell ^2(\mathbb Z^d)$$ with Monotone Potentials. Communications in Mathematical Physics. 406(6). 125–125. 1 indexed citations

Morozov, S. V., et al.. (2023). The almost periodic Gauge Transform: an abstract scheme with applications to Dirac operators. Research Portal (King's College London). 6. 1031–1113.

Levitin, Michael, et al.. (2022). Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygons. Proceedings of the London Mathematical Society. 125(3). 359–487. 3 indexed citations

Parnovski, Leonid, et al.. (2021). Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces. UCL Discovery (University College London). 3 indexed citations

Parnovski, Leonid, et al.. (2021). Ballistic Transport for Schr\"odinger Operators with Quasi-periodic Potentials. arXiv (Cornell University). 1 indexed citations

Parnovski, Leonid, et al.. (2016). A generalised Gauss circle problem and integrated density of states. Journal of Spectral Theory. 6(4). 859–879.

Exner, Pavel, et al.. (2014). Asymptotic eigenvalue estimates for a Robin problem with a large parameter. Portugaliae Mathematica. 71(2). 141–156. 19 indexed citations

Parnovski, Leonid & Alexander V. Sobolev. (2010). Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Inventiones mathematicae. 181(3). 467–540. 22 indexed citations

Parnovski, Leonid, et al.. (2010). Critical Dimensions for counting Lattice Points in Euclidean Annuli. Mathematical Modelling of Natural Phenomena. 5(4). 293–316. 4 indexed citations

10.

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

11.

Barbatis, Gerassimos & Leonid Parnovski. (2009). Bethe–Sommerfeld Conjecture for Pseudodifferential Perturbation. Communications in Partial Differential Equations. 34(4). 383–418. 8 indexed citations

12.

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

13.

Levitin, Michael, Leonid Parnovski, & Iosif Polterovich. (2006). Isospectral domains with mixed boundary conditions. Journal of Physics A Mathematical and General. 39(9). 2073–2082. 16 indexed citations

14.

Hill, Robert Nyden & Leonid Parnovski. (2005). The variance of the hyperbolic lattice point counting function. Russian Journal of Mathematical Physics. 6(3). 219–229. 2 indexed citations

15.

Parnovski, Leonid, et al.. (2004). Trapped modes in a waveguide with a thick obstacle. Mathematika. 51(1-2). 171–186. 1 indexed citations

16.

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

17.

Parnovski, Leonid & Alexander V. Sobolev. (2001). On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Duke Mathematical Journal. 107(2). 30 indexed citations

18.

Parnovski, Leonid. (2000). Scattering Matrix for Manifolds with Conical Ends. Journal of the London Mathematical Society. 61(2). 555–567. 5 indexed citations

19.

Parnovski, Leonid & Alexander V. Sobolev. (2000). On the Bethe-Sommerfeld conjecture. Journées Équations aux dérivées partielles. 1–13. 2 indexed citations

20.

Parnovski, Leonid. (1995). Asymptotics of Dirichlet Spectrum on Some Class of Noncompact Domains. Mathematische Nachrichten. 174(1). 253–263. 3 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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