Jonathan Eckhardt

455 total citations
20 papers, 238 citations indexed

About

Jonathan Eckhardt is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Jonathan Eckhardt has authored 20 papers receiving a total of 238 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Statistical and Nonlinear Physics, 14 papers in Mathematical Physics and 4 papers in Geometry and Topology. Recurrent topics in Jonathan Eckhardt's work include Quantum chaos and dynamical systems (10 papers), Nonlinear Waves and Solitons (10 papers) and Spectral Theory in Mathematical Physics (8 papers). Jonathan Eckhardt is often cited by papers focused on Quantum chaos and dynamical systems (10 papers), Nonlinear Waves and Solitons (10 papers) and Spectral Theory in Mathematical Physics (8 papers). Jonathan Eckhardt collaborates with scholars based in Austria, United Kingdom and Slovenia. Jonathan Eckhardt's co-authors include Aleksey Kostenko, Gerald Teschl, Fritz Gesztesy and M. M. Malamud and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Jonathan Eckhardt

19 papers receiving 233 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jonathan Eckhardt Austria 10 161 142 80 65 45 20 238
Vadim Tkachenko Israel 9 130 0.8× 56 0.4× 81 1.0× 57 0.9× 30 0.7× 27 189
Hüseyin Tuna Türkiye 9 212 1.3× 98 0.7× 183 2.3× 50 0.8× 14 0.3× 74 275
Iryna Egorova Ukraine 11 152 0.9× 146 1.0× 50 0.6× 32 0.5× 19 0.4× 24 216
L. A. Sakhnovich Israel 6 133 0.8× 103 0.7× 78 1.0× 82 1.3× 11 0.2× 11 232
Maxim Zinchenko United States 8 174 1.1× 49 0.3× 114 1.4× 93 1.4× 17 0.4× 27 216
Marco Ghimenti Italy 9 245 1.5× 59 0.4× 296 3.7× 150 2.3× 15 0.3× 39 364
James B. Kennedy Portugal 9 141 0.9× 16 0.1× 104 1.3× 115 1.8× 27 0.6× 26 201
T. J. Christiansen United States 10 179 1.1× 57 0.4× 65 0.8× 53 0.8× 21 0.5× 35 202
Mihai Mariş France 10 202 1.3× 110 0.8× 127 1.6× 82 1.3× 6 0.1× 15 253
Natalia P. Bondarenko Russia 15 552 3.4× 63 0.4× 194 2.4× 317 4.9× 18 0.4× 79 573

Countries citing papers authored by Jonathan Eckhardt

Since Specialization
Citations

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

Fields of papers citing papers by Jonathan Eckhardt

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jonathan Eckhardt

This figure shows the co-authorship network connecting the top 25 collaborators of Jonathan Eckhardt. A scholar is included among the top collaborators of Jonathan Eckhardt 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 Jonathan Eckhardt. Jonathan Eckhardt 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.
Eckhardt, Jonathan & Aleksey Kostenko. (2024). Trace formulas and inverse spectral theory for generalized indefinite strings. Inventiones mathematicae. 238(2). 391–502. 1 indexed citations
2.
Eckhardt, Jonathan. (2022). Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type. Bulletin of the London Mathematical Society. 54(2). 737–759. 2 indexed citations
3.
Eckhardt, Jonathan & Aleksey Kostenko. (2021). On the Absolutely Continuous Spectrum of Generalized Indefinite Strings. Annales Henri Poincaré. 22(11). 3529–3564. 7 indexed citations
4.
Eckhardt, Jonathan, et al.. (2019). On the absolutely continuous spectrum of generalized indefinite strings II. arXiv (Cornell University). 2 indexed citations
5.
Eckhardt, Jonathan, et al.. (2019). Trace formulas and continuous dependence of spectra for the periodic conservative Camassa–Holm flow. Journal of Differential Equations. 268(6). 3016–3034. 13 indexed citations
6.
Eckhardt, Jonathan. (2017). Unique Solvability of a Coupling Problem for Entire Functions. Constructive Approximation. 49(1). 123–148. 2 indexed citations
7.
Eckhardt, Jonathan, et al.. (2017). A Lagrangian View on Complete Integrability of the Two-Component Camassa–Holm System. arXiv (Cornell University). 2(1). 4 indexed citations
8.
Eckhardt, Jonathan & Aleksey Kostenko. (2017). Quadratic operator pencils associated with the conservative Camassa-Holm flow. Bulletin de la Société mathématique de France. 145(1). 47–95. 9 indexed citations
9.
Eckhardt, Jonathan, Aleksey Kostenko, & Gerald Teschl. (2015). Spectral asymptotics for canonical systems. Journal für die reine und angewandte Mathematik (Crelles Journal). 2018(736). 285–315. 14 indexed citations
10.
Eckhardt, Jonathan & Aleksey Kostenko. (2015). The inverse spectral problem for indefinite strings. Inventiones mathematicae. 204(3). 939–977. 30 indexed citations
11.
Eckhardt, Jonathan, et al.. (2015). On spectral deformations and singular Weyl functions for one-dimensional Dirac operators. Journal of Mathematical Physics. 56(1). 4 indexed citations
12.
Eckhardt, Jonathan, Aleksey Kostenko, M. M. Malamud, & Gerald Teschl. (2014). One-dimensional Schrödinger operators withδ′-interactions on Cantor-type sets. Journal of Differential Equations. 257(2). 415–449. 11 indexed citations
13.
Eckhardt, Jonathan & Aleksey Kostenko. (2014). An Isospectral Problem for Global Conservative Multi-Peakon Solutions of the Camassa–Holm Equation. Communications in Mathematical Physics. 329(3). 893–918. 31 indexed citations
14.
Eckhardt, Jonathan & Gerald Teschl. (2013). On the isospectral problem of the dispersionless Camassa–Holm equation. Advances in Mathematics. 235. 469–495. 17 indexed citations
15.
Eckhardt, Jonathan, et al.. (2013). Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. SHILAP Revista de lepidopterología. 33(3). 467–467. 65 indexed citations
16.
Eckhardt, Jonathan, et al.. (2012). Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Coefficients. arXiv (Cornell University). 1 indexed citations
17.
Eckhardt, Jonathan. (2012). Direct and inverse spectral theory of singular left-definite Sturm–Liouville operators. Journal of Differential Equations. 253(2). 604–634. 12 indexed citations
18.
Eckhardt, Jonathan. (2011). Schrodinger operators with strongly singular potentials and de Branges spaces.
19.
Eckhardt, Jonathan & Gerald Teschl. (2011). On the connection between the Hilger and Radon–Nikodym derivatives. Journal of Mathematical Analysis and Applications. 385(2). 1184–1189. 3 indexed citations
20.
Eckhardt, Jonathan & Gerald Teschl. (2011). Sturm–Liouville operators on time scales. The Journal of Difference Equations and Applications. 18(11). 1875–1887. 10 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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