Peter Stollmann

1.8k total citations
48 papers, 840 citations indexed

About

Peter Stollmann is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Peter Stollmann has authored 48 papers receiving a total of 840 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 21 papers in Computational Theory and Mathematics and 13 papers in Applied Mathematics. Recurrent topics in Peter Stollmann's work include Spectral Theory in Mathematical Physics (29 papers), Advanced Mathematical Modeling in Engineering (18 papers) and Numerical methods in inverse problems (13 papers). Peter Stollmann is often cited by papers focused on Spectral Theory in Mathematical Physics (29 papers), Advanced Mathematical Modeling in Engineering (18 papers) and Numerical methods in inverse problems (13 papers). Peter Stollmann collaborates with scholars based in Germany, United States and France. Peter Stollmann's co-authors include J. Voigt, Daniel Lenz, Günter Stolz, Werner Kirsch, David Damanik, Anne Boutet de Monvel, Jürgen Voigt, Pavel Exner, Serguei Naboko and Peter Müller and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Statistical Physics and Journal of Functional Analysis.

In The Last Decade

Peter Stollmann

47 papers receiving 756 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Stollmann Germany 15 688 361 194 178 110 48 840
Günter Stolz United States 17 667 1.0× 368 1.0× 251 1.3× 132 0.7× 96 0.9× 56 847
Ари Лаптев United Kingdom 16 700 1.0× 407 1.1× 74 0.4× 441 2.5× 14 0.1× 88 884
Plamen Djakov United States 16 563 0.8× 251 0.7× 130 0.7× 356 2.0× 14 0.1× 40 652
Seppo Hassi Finland 18 862 1.3× 637 1.8× 88 0.5× 640 3.6× 38 0.3× 76 1.1k
Hagen Neidhardt Germany 15 437 0.6× 271 0.8× 81 0.4× 143 0.8× 18 0.2× 80 571
Leonid Friedlander United States 14 456 0.7× 299 0.8× 81 0.4× 201 1.1× 7 0.1× 32 586
Konstantin A. Makarov United States 13 347 0.5× 195 0.5× 118 0.6× 101 0.6× 13 0.1× 53 474
Frédéric Klopp France 15 700 1.0× 378 1.0× 270 1.4× 52 0.3× 124 1.1× 70 759
Vladimir Rabinovich Mexico 13 556 0.8× 196 0.5× 49 0.3× 436 2.4× 26 0.2× 105 728
Vojkan Jakšić Canada 15 259 0.4× 111 0.3× 235 1.2× 43 0.2× 31 0.3× 28 493

Countries citing papers authored by Peter Stollmann

Since Specialization
Citations

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

Fields of papers citing papers by Peter Stollmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Stollmann

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Stollmann. A scholar is included among the top collaborators of Peter Stollmann 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 Peter Stollmann. Peter Stollmann 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.
Güneysu, Batu, et al.. (2024). A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin. Mathematische Annalen. 390(3). 4209–4243. 1 indexed citations
2.
Güneysu, Batu, et al.. (2023). Essential Spectrum and Feller Type Properties. Integral Equations and Operator Theory. 95(2).
3.
Müller, Katrin, Julian Rudisch, Daniel Schmidt, et al.. (2020). Sensor-based systems for early detection of dementia (SENDA): a study protocol for a prospective cohort sequential study. BMC Neurology. 20(1). 84–84. 19 indexed citations
4.
Stollmann, Peter, et al.. (2019). On the decomposition principle and a Persson type theorem for general regular Dirichlet forms. Journal of Spectral Theory. 9(3). 1089–1113. 2 indexed citations
5.
Stollmann, Peter, et al.. (2011). Essential self-adjointness, generalized eigenforms, and spectra for the∂¯-Neumann problem on G-manifolds. Journal of Functional Analysis. 261(9). 2717–2740. 1 indexed citations
6.
Stollmann, Peter, et al.. (2010). Heat kernel estimates for the ¯ ∂-Neumann problem on G-manifolds. 1 indexed citations
7.
Stollmann, Peter. (2010). A dual characterization of length spaces with application to Dirichlet metric spaces. Studia Mathematica. 198(3). 221–233. 17 indexed citations
8.
Chulaevsky, Victor, et al.. (2009). Wegner-type Bounds for a Multi-particle Continuous Anderson Model with an Alloy-type External Potential. Journal of Statistical Physics. 138(4-5). 553–566. 9 indexed citations
9.
Lenz, Daniel, et al.. (2008). Eigenfunction Expansions for Schrödinger Operators on Metric Graphs. Integral Equations and Operator Theory. 62(4). 541–553. 7 indexed citations
10.
Müller, Peter & Peter Stollmann. (2007). Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs. Journal of Functional Analysis. 252(1). 233–246. 8 indexed citations
11.
Lenz, Daniel, et al.. (2005). Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature. Proceedings of the American Mathematical Society. 134(5). 1549–1559. 8 indexed citations
12.
Monvel, Anne Boutet de & Peter Stollmann. (2003). Eigenfunction expansions for generators of Dirichlet forms. Journal für die reine und angewandte Mathematik (Crelles Journal). 2003(561). 7 indexed citations
13.
Lenz, Daniel & Peter Stollmann. (2002). Quasicrystals, aperiodic order, and groupoid von Neumann algebras. Comptes Rendus Mathématique. 334(12). 1131–1136. 7 indexed citations
14.
Kirsch, Werner, Peter Stollmann, & Günter Stolz. (1998). Localization for random perturbations of periodic Schrödinger operators. Random Operators and Stochastic Equations. 6(3). 241–268. 40 indexed citations
15.
Ouhabaz, El-Maati, Peter Stollmann, Karl‐Theodor Sturm, & Jürgen Voigt. (1996). The Feller Property for Absorption Semigroups. Journal of Functional Analysis. 138(2). 351–378. 10 indexed citations
16.
Demuth, Michael, Peter Stollmann, Günter Stolz, & J. van Casteren. (1995). Trace norm estimates for products of integral operators and diffusion semigroups. Integral Equations and Operator Theory. 23(2). 145–153. 7 indexed citations
17.
Stollmann, Peter. (1995). A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains. Mathematische Zeitschrift. 219(1). 275–287. 17 indexed citations
18.
Stollmann, Peter. (1994). Scattering by Obstacles of Finite Capacity. Journal of Functional Analysis. 121(2). 416–425. 12 indexed citations
19.
Stollmann, Peter. (1993). Closed ideals in Dirichlet spaces. Potential Analysis. 2(3). 263–268. 10 indexed citations
20.
Stollmann, Peter. (1992). Smooth perturbations of regular Dirichlet forms. Proceedings of the American Mathematical Society. 116(3). 747–752. 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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