Rainer Hempel

986 total citations
27 papers, 518 citations indexed

About

Rainer Hempel is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Rainer Hempel has authored 27 papers receiving a total of 518 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 21 papers in Computational Theory and Mathematics and 7 papers in Applied Mathematics. Recurrent topics in Rainer Hempel's work include Spectral Theory in Mathematical Physics (24 papers), Advanced Mathematical Modeling in Engineering (21 papers) and Numerical methods in inverse problems (16 papers). Rainer Hempel is often cited by papers focused on Spectral Theory in Mathematical Physics (24 papers), Advanced Mathematical Modeling in Engineering (21 papers) and Numerical methods in inverse problems (16 papers). Rainer Hempel collaborates with scholars based in Germany, United States and Mexico. Rainer Hempel's co-authors include Percy Deift, J. Voigt, Barry Simon, Luis Seco, Stan Alama, Ira Herbst, Jürgen Voigt, Olaf Post, Ricardo Weder and Andréas Hinz 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

Rainer Hempel

26 papers receiving 450 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Rainer Hempel Germany 11 426 353 148 69 46 27 518
Volodymyr Derkach Ukraine 8 610 1.4× 414 1.2× 311 2.1× 66 1.0× 48 1.0× 27 660
Alain Soyeur France 6 169 0.4× 117 0.3× 100 0.7× 41 0.6× 83 1.8× 6 315
Branko Najman Croatia 13 189 0.4× 154 0.4× 90 0.6× 43 0.6× 60 1.3× 31 307
Hynek Kovařík Italy 10 259 0.6× 154 0.4× 89 0.6× 79 1.1× 79 1.7× 44 323
Adriano Pisante Italy 9 138 0.3× 184 0.5× 289 2.0× 53 0.8× 16 0.3× 19 384
Max Jodeit United States 11 232 0.5× 224 0.6× 350 2.4× 40 0.6× 18 0.4× 22 512
Л. П. Нижник Ukraine 11 271 0.6× 108 0.3× 118 0.8× 62 0.9× 125 2.7× 38 367
J. C. Guillot France 9 187 0.4× 82 0.2× 56 0.4× 50 0.7× 69 1.5× 23 252
Eduard Tsekanovskiı̆ United States 8 255 0.6× 168 0.5× 147 1.0× 30 0.4× 41 0.9× 25 303

Countries citing papers authored by Rainer Hempel

Since Specialization
Citations

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

Fields of papers citing papers by Rainer Hempel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rainer Hempel

This figure shows the co-authorship network connecting the top 25 collaborators of Rainer Hempel. A scholar is included among the top collaborators of Rainer Hempel 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 Rainer Hempel. Rainer Hempel 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.
Berg, M. van den, et al.. (2015). $L_1$-estimates for eigenfunctions of the Dirichlet Laplacian. Journal of Spectral Theory. 5(4). 829–857. 2 indexed citations
2.
Hempel, Rainer, et al.. (2015). Bound states for nano-tubes with a dislocation. Journal of Mathematical Analysis and Applications. 431(1). 202–227. 4 indexed citations
3.
Hempel, Rainer, Olaf Post, & Ricardo Weder. (2014). On open scattering channels for manifolds with ends. Journal of Functional Analysis. 266(9). 5526–5583. 6 indexed citations
4.
Hempel, Rainer, et al.. (2011). Spectral properties of grain boundaries at small angles of rotation. Journal of Spectral Theory. 1(2). 197–219. 7 indexed citations
5.
Hempel, Rainer, et al.. (2011). A variational approach to dislocation problems for periodic Schrödinger operators. Journal of Mathematical Analysis and Applications. 381(1). 166–178. 6 indexed citations
6.
Hempel, Rainer. (2005). On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle. Journal of Computational and Applied Mathematics. 194(1). 54–74. 4 indexed citations
7.
Hempel, Rainer, et al.. (2003). Magnetic barriers of compact support and eigenvalues in spectral gaps. SHILAP Revista de lepidopterología. 3 indexed citations
8.
Hempel, Rainer, et al.. (1999). Spectral properties of periodic media in the large coupling limit. Communications in Partial Differential Equations. 25(7-8). 1445–1470. 61 indexed citations
9.
Hempel, Rainer, et al.. (1997). Discrete and Cantor Spectrum for Neumann Laplacians of Combs. Mathematische Nachrichten. 188(1). 141–168. 7 indexed citations
10.
Hempel, Rainer & Ira Herbst. (1995). Strong magnetic fields, Dirichlet boundaries, and spectral gaps. Communications in Mathematical Physics. 169(2). 237–259. 37 indexed citations
11.
Hempel, Rainer & Werner Kirsch. (1994). On the integrated density of states for crystals with randomly distributed impurities. Communications in Mathematical Physics. 159(3). 459–469. 1 indexed citations
12.
Hempel, Rainer & Ricardo Weder. (1993). On the Completeness of Wave Operators under Loss of Local Compactness. Journal of Functional Analysis. 113(2). 391–412. 5 indexed citations
13.
Hempel, Rainer. (1992). Eigenvalue asymptotics related to impurities in crystals. French digital mathematics library (Numdam). 1 indexed citations
14.
Hempel, Rainer. (1992). Eigenvalues in gaps and decoupling by Neumann boundary conditions. Journal of Mathematical Analysis and Applications. 169(1). 229–259. 17 indexed citations
15.
Hempel, Rainer, Luis Seco, & Barry Simon. (1991). The essential spectrum of Neumann Laplacians on some bounded singular domains. Journal of Functional Analysis. 102(2). 448–483. 77 indexed citations
16.
Hempel, Rainer. (1989). On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1989(399). 38–59. 22 indexed citations
17.
Alama, Stan, Percy Deift, & Rainer Hempel. (1989). Eigenvalue branches of the Schr�dinger operatorH??W in a gap of ?(H). Communications in Mathematical Physics. 121(2). 291–321. 54 indexed citations
18.
Hempel, Rainer & Jürgen Voigt. (1987). On the Lp-spectrum of Schrödinger operators. Journal of Mathematical Analysis and Applications. 121(1). 138–159. 29 indexed citations
19.
Hempel, Rainer & J. Voigt. (1986). The spectrum of a Schr�dinger operator inL p ? v isp-independent. Communications in Mathematical Physics. 104(2). 243–250. 57 indexed citations
20.
Hempel, Rainer. (1984). Perturbations by quadratic forms and invariance of essential spectra. Mathematische Zeitschrift. 185(2). 281–289. 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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