Dirk Hundertmark

1.1k total citations
42 papers, 456 citations indexed

About

Dirk Hundertmark is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Dirk Hundertmark has authored 42 papers receiving a total of 456 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Mathematical Physics, 15 papers in Statistical and Nonlinear Physics and 13 papers in Applied Mathematics. Recurrent topics in Dirk Hundertmark's work include Spectral Theory in Mathematical Physics (23 papers), Advanced Mathematical Physics Problems (14 papers) and Numerical methods in inverse problems (11 papers). Dirk Hundertmark is often cited by papers focused on Spectral Theory in Mathematical Physics (23 papers), Advanced Mathematical Physics Problems (14 papers) and Numerical methods in inverse problems (11 papers). Dirk Hundertmark collaborates with scholars based in United States, Germany and South Korea. Dirk Hundertmark's co-authors include Barry Simon, Vadim Zharnitsky, Hajo Leschke, Kurt Broderix, David Damanik, Élliott H. Lieb, Lawrence E. Thomas, Jonathan Bennett, Peer Christian Kunstmann and Neal Bez and has published in prestigious journals such as Journal of Applied Physics, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Dirk Hundertmark

38 papers receiving 422 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Dirk Hundertmark United States 13 389 187 139 109 88 42 456
Andrea Posilicano Italy 11 349 0.9× 89 0.5× 128 0.9× 174 1.6× 123 1.4× 47 417
Hubert Kalf Germany 13 417 1.1× 178 1.0× 80 0.6× 214 2.0× 97 1.1× 38 509
Michael Demuth Germany 11 276 0.7× 124 0.7× 56 0.4× 148 1.4× 44 0.5× 48 345
Konstantin Pankrashkin France 11 376 1.0× 95 0.5× 102 0.7× 198 1.8× 101 1.1× 54 464
Alexander Pushnitski United Kingdom 11 287 0.7× 131 0.7× 95 0.7× 181 1.7× 56 0.6× 49 376
Richard Lavine United States 12 313 0.8× 80 0.4× 112 0.8× 112 1.0× 122 1.4× 20 387
Georgi Vodev France 15 553 1.4× 151 0.8× 125 0.9× 240 2.2× 72 0.8× 60 647
Plamen Djakov United States 16 563 1.4× 356 1.9× 130 0.9× 251 2.3× 43 0.5× 40 652
Vyacheslav Pivovarchik Ukraine 16 605 1.6× 227 1.2× 152 1.1× 375 3.4× 54 0.6× 72 708
Volodymyr Derkach Ukraine 8 610 1.6× 311 1.7× 48 0.3× 414 3.8× 66 0.8× 27 660

Countries citing papers authored by Dirk Hundertmark

Since Specialization
Citations

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

Fields of papers citing papers by Dirk Hundertmark

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dirk Hundertmark

This figure shows the co-authorship network connecting the top 25 collaborators of Dirk Hundertmark. A scholar is included among the top collaborators of Dirk Hundertmark 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 Dirk Hundertmark. Dirk Hundertmark 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.
Hundertmark, Dirk & Hynek Kovařík. (2023). Absence of embedded eigenvalues of Pauli and Dirac operators. Journal of Functional Analysis. 286(4). 110288–110288. 1 indexed citations
2.
Hundertmark, Dirk, et al.. (2023). Absence of positive eigenvalues of magnetic Schrödinger operators. Calculus of Variations and Partial Differential Equations. 62(2). 3 indexed citations
3.
Hundertmark, Dirk, et al.. (2017). On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space Mp,q(R). Journal of Differential Equations. 263(8). 4429–4441. 15 indexed citations
4.
Barbaroux, Jean-Marie, et al.. (2017). Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction. Kinetic and Related Models. 10(4). 901–924. 2 indexed citations
5.
Hundertmark, Dirk, et al.. (2017). Derivation of the Hartree equation for compound Bose gases in the mean field limit. Reviews in Mathematical Physics. 29(7). 1750022–1750022. 18 indexed citations
6.
Hundertmark, Dirk, et al.. (2016). Local well-posedness for the nonlinear Schr\"odinger equation in modulation spaces $M_{p,q}^{s}(\mathbb{R}^d)$. arXiv (Cornell University). 1 indexed citations
7.
Hundertmark, Dirk, Peer Christian Kunstmann, & Roland Schnaubelt. (2015). Stability of dispersion managed solitons for vanishing average dispersion. Archiv der Mathematik. 104(3). 283–288. 4 indexed citations
8.
Hundertmark, Dirk, et al.. (2008). On Dispersion Managed Solitons. 4(3). 86–87. 1 indexed citations
9.
Hundertmark, Dirk, et al.. (2008). Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrödinger Equation. Communications in Mathematical Physics. 286(3). 851–873. 21 indexed citations
10.
Hundertmark, Dirk & Barry Simon. (2007). Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices. Journal of Mathematical Analysis and Applications. 340(2). 892–900. 11 indexed citations
11.
Hundertmark, Dirk & Barry Simon. (2004). A diamagnetic inequality for semigroup differences. Journal für die reine und angewandte Mathematik (Crelles Journal). 2004(571). 19 indexed citations
12.
Damanik, David & Dirk Hundertmark. (2004). Reflection symmetries and absence of eigenvalues for one-dimensional Schrödinger operators. Proceedings of the American Mathematical Society. 132(7). 1957–1962.
13.
Damanik, David, Dirk Hundertmark, & Barry Simon. (2003). Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators. Journal of Functional Analysis. 205(2). 357–379. 19 indexed citations
14.
Damanik, David, Dirk Hundertmark, Rowan Killip, & Barry Simon. (2003). Variational Estimates for Discrete Schr�dinger Operators with Potentials of Indefinite Sign. Communications in Mathematical Physics. 238(3). 545–562. 32 indexed citations
15.
Hundertmark, Dirk & Barry Simon. (2002). Lieb–Thirring Inequalities for Jacobi Matrices. Journal of Approximation Theory. 118(1). 106–130. 36 indexed citations
16.
Hundertmark, Dirk. (2002). On the number of bound states for Schrödinger operators with operator-valued potentials. Arkiv för matematik. 40(1). 73–87. 10 indexed citations
17.
Hundertmark, Dirk & Barry Simon. (2002). An optimalL p -bound on the Krein spectral shift function. Journal d Analyse Mathématique. 87(1). 199–208. 7 indexed citations
18.
Broderix, Kurt, Dirk Hundertmark, & Hajo Leschke. (2000). CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS. Reviews in Mathematical Physics. 12(2). 181–225. 39 indexed citations
19.
Aizenman, Michael, et al.. (1999). Finite-volume Criteria for Anderson Localization. 2 indexed citations
20.
Broderix, Kurt, Dirk Hundertmark, Werner Kirsch, & Hajo Leschke. (1995). The fate of lifshits tails in magnetic fields. Journal of Statistical Physics. 80(1-2). 1–22. 12 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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