Ари Лаптев

2.2k total citations
88 papers, 884 citations indexed

About

Ари Лаптев is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Ари Лаптев has authored 88 papers receiving a total of 884 indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Mathematical Physics, 39 papers in Applied Mathematics and 33 papers in Computational Theory and Mathematics. Recurrent topics in Ари Лаптев's work include Spectral Theory in Mathematical Physics (65 papers), Numerical methods in inverse problems (35 papers) and Advanced Mathematical Modeling in Engineering (26 papers). Ари Лаптев is often cited by papers focused on Spectral Theory in Mathematical Physics (65 papers), Numerical methods in inverse problems (35 papers) and Advanced Mathematical Modeling in Engineering (26 papers). Ари Лаптев collaborates with scholars based in United Kingdom, Russia and Sweden. Ари Лаптев's co-authors include Timo Weidl, Oleg Safronov, Thomas Hoffmann-Ostenhof, M. Hoffmann-Ostenhof, Rupert L. Frank, Serguei Naboko, M. Sh. Birman, Jean Dolbeault, Michael Loss and Yu. Safarov and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Ари Лаптев

77 papers receiving 808 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ари Лаптев United Kingdom 16 700 441 407 91 74 88 884
Aad Dijksma Netherlands 17 623 0.9× 549 1.2× 464 1.1× 50 0.5× 82 1.1× 70 960
Vladimir Rabinovich Mexico 13 556 0.8× 436 1.0× 196 0.5× 86 0.9× 49 0.7× 105 728
Michael Solomyak Israel 20 931 1.3× 461 1.0× 550 1.4× 122 1.3× 163 2.2× 57 1.2k
Steffen Roch Germany 15 577 0.8× 606 1.4× 302 0.7× 47 0.5× 31 0.4× 69 880
Mark S. Ashbaugh United States 20 616 0.9× 494 1.1× 593 1.5× 64 0.7× 87 1.2× 45 898
Vyacheslav Pivovarchik Ukraine 16 605 0.9× 227 0.5× 375 0.9× 54 0.6× 152 2.1× 72 708
Boris Mityagin United States 21 847 1.2× 484 1.1× 360 0.9× 109 1.2× 259 3.5× 66 1.1k
Victor Ivrii Canada 13 473 0.7× 294 0.7× 213 0.5× 32 0.4× 116 1.6× 39 605
Plamen Djakov United States 16 563 0.8× 356 0.8× 251 0.6× 43 0.5× 130 1.8× 40 652
Leonid Friedlander United States 14 456 0.7× 201 0.5× 299 0.7× 61 0.7× 81 1.1× 32 586

Countries citing papers authored by Ари Лаптев

Since Specialization
Citations

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

Fields of papers citing papers by Ари Лаптев

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ари Лаптев

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

All Works

20 of 20 papers shown
1.
Лаптев, Ари. (2024). The 5th Anniversary of the International Sirius Mathematics Center. Journal of Mathematical Sciences. 284(1). 1–3.
2.
Ilyin, Alexei, et al.. (2024). Lieb–Thirring Inequalities on Manifolds with Constant Negative Curvature. Journal of Geometric Analysis. 34(2).
3.
Frank, Rupert L., et al.. (2024). Weighted CLR type bounds in two dimensions. Transactions of the American Mathematical Society.
4.
Лаптев, Ари, et al.. (2023). Non-Classical Spectral Bounds for Schrödinger Operators. Journal of Mathematical Sciences. 270(6). 741–751. 1 indexed citations
5.
Лаптев, Ари, et al.. (2023). Hardy and Sobolev inequalities on antisymmetric functions. Bulletin of Mathematical Sciences. 14(1). 3 indexed citations
6.
Лаптев, Ари, et al.. (2021). A Sharp Lieb-Thirring Inequality for Functional Difference Operators. Symmetry Integrability and Geometry Methods and Applications.
7.
Fanelli, Luca, et al.. (2020). On the improvement of the Hardy inequality due to singular magnetic fields. IRIS Research product catalog (Sapienza University of Rome). 6 indexed citations
8.
Kapitanski, Lev & Ари Лаптев. (2016). On continuous and discrete Hardy inequalities. Journal of Spectral Theory. 6(4). 837–858. 9 indexed citations
9.
Hoffmann-Ostenhof, Thomas & Ари Лаптев. (2015). Hardy inequalities with homogeneous weights. Journal of Functional Analysis. 268(11). 3278–3289. 11 indexed citations
10.
Лаптев, Ари & Michael Solomyak. (2013). On spectral estimates for two-dimensional Schrödinger operators. Journal of Spectral Theory. 3(4). 505–515. 8 indexed citations
11.
Лаптев, Ари, Maria J. Esteban, & Jean Dolbeault. (2013). Spectral estimates on the sphere. Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine). 17 indexed citations
12.
Dolbeault, Jean, Maria J. Esteban, Ари Лаптев, & Michael Loss. (2013). Spectral properties of Schr\\"odinger operators on compact manifolds:\n rigidity, flows, interpolation and spectral estimates. arXiv (Cornell University). 7 indexed citations
13.
Janas, Jan, Pavel Kurasov, Ари Лаптев, & Serguei Naboko. (2013). Operator methods in mathematical physics : Conference on Operator Theory, Analysis and Mathematical Physics, (OTAMP) 2010, Bedlewo, Poland. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 1 indexed citations
14.
Kovařík, Hynek & Ари Лаптев. (2012). Hardy inequalities for Robin Laplacians. Journal of Functional Analysis. 262(12). 4972–4985. 8 indexed citations
15.
Jagers, Peter, et al.. (2009). Politiken hotar matematiken. Chalmers Publication Library (Chalmers University of Technology).
16.
Лаптев, Ари & Alexander V. Sobolev. (2008). Hardy inequalities for simply connected planar domains. UCL Discovery (University College London). 133–140. 8 indexed citations
17.
Лаптев, Ари & Oleg Safronov. (2005). The negative discrete spectrum of a class of two‐dimensional Schrödinger operators with magnetic fields. Asymptotic Analysis. 41(2). 107–117. 2 indexed citations
18.
Chanillo, Sagun, Bernard Helffer, & Ари Лаптев. (2003). Nonlinear eigenvalues and analytic hypoellipticity. Journal of Functional Analysis. 209(2). 425–443. 15 indexed citations
19.
Лаптев, Ари & Yu. Safarov. (1996). Szegö Type Limit Theorems. Journal of Functional Analysis. 138(2). 544–559. 26 indexed citations
20.
Лаптев, Ари. (1993). Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant. Proceedings of the American Mathematical Society. 119(2). 481–488. 6 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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