Erwin Brüning

1.0k total citations
37 papers, 318 citations indexed

About

Erwin Brüning is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Artificial Intelligence. According to data from OpenAlex, Erwin Brüning has authored 37 papers receiving a total of 318 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Mathematical Physics, 12 papers in Atomic and Molecular Physics, and Optics and 10 papers in Artificial Intelligence. Recurrent topics in Erwin Brüning's work include Quantum Information and Cryptography (9 papers), Quantum Mechanics and Applications (8 papers) and Spectral Theory in Mathematical Physics (6 papers). Erwin Brüning is often cited by papers focused on Quantum Information and Cryptography (9 papers), Quantum Mechanics and Applications (8 papers) and Spectral Theory in Mathematical Physics (6 papers). Erwin Brüning collaborates with scholars based in South Africa, Japan and Germany. Erwin Brüning's co-authors include Philippe Blanchard, Philippe Blanchard, Francesco Petruccione, Fritz Gesztesy, P. Stichel, Ph. Blanchard, Dariusz Chruściński, Xuejun Wu and Chongming Xu and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Journal of Differential Equations.

In The Last Decade

Erwin Brüning

34 papers receiving 291 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Erwin Brüning South Africa	9	101	93	68	68	64	37	318
Jann–Long Chern Taiwan	12	112 1.1×	107 1.2×	98 1.4×	105 1.5×	162 2.5×	60	538
W. W. Zachary United States	11	197 2.0×	89 1.0×	125 1.8×	27 0.4×	60 0.9×	49	395
Sihong Shao China	14	164 1.6×	75 0.8×	143 2.1×	33 0.5×	28 0.4×	36	422
Valentin Poénaru France	14	83 0.8×	336 3.6×	80 1.2×	100 1.5×	85 1.3×	56	736
N. N. Kalitkin Russia	8	65 0.6×	50 0.5×	32 0.5×	52 0.8×	60 0.9×	95	358
V. E. Shatalov Russia	11	75 0.7×	197 2.1×	64 0.9×	78 1.1×	174 2.7×	36	422
A. Horzela Poland	12	104 1.0×	43 0.5×	136 2.0×	36 0.5×	123 1.9×	54	471
Élie Cartan United States	8	67 0.7×	59 0.6×	168 2.5×	36 0.5×	159 2.5×	16	521
Howard S. Cohl United States	9	102 1.0×	19 0.2×	48 0.7×	60 0.9×	72 1.1×	44	373
C. Nash Ireland	11	186 1.8×	121 1.3×	179 2.6×	28 0.4×	73 1.1×	39	588

Countries citing papers authored by Erwin Brüning

Since Specialization

Citations

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

Fields of papers citing papers by Erwin Brüning

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Erwin Brüning

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Brüning, Erwin, et al.. (2019). On foundational aspects of optical quantum communication. Journal of Modern Optics. 66(14). 1476–1490. 1 indexed citations

Blanchard, Philippe & Erwin Brüning. (2015). Mathematical Methods in Physics. 27 indexed citations

Brüning, Erwin, et al.. (2013). Edge of the wedge theorem for tempered ultra-hyperfunctions. Complex Variables and Elliptic Equations. 59(6). 787–808.

Brüning, Erwin, et al.. (2010). Theoretical foundations of quantum information processing and communication : selected topics. Springer eBooks. 2 indexed citations

Brüning, Erwin, et al.. (2010). Frame independence of the fundamental length in relativistic quantum field theory. Journal of Mathematical Physics. 51(2). 1 indexed citations

Brüning, Erwin & Francesco Petruccione. (2009). ‘Nonlinear’ positive mappings for density matrices. Physica E Low-dimensional Systems and Nanostructures. 42(3). 436–438. 1 indexed citations

Brüning, Erwin, Dariusz Chruściński, & Francesco Petruccione. (2008). Parametrizing Density Matrices for Composite Quantum Systems. Open Systems & Information Dynamics. 15(4). 397–408. 1 indexed citations

Brüning, Erwin, et al.. (2003). Hyperfunction Quantum Field Theory: Localized Fields Without Localized Test Functions. Letters in Mathematical Physics. 63(2). 141–155. 1 indexed citations

Brüning, Erwin, et al.. (1998). Closure of field operators, asymptotic Abelianness, and vacuum structure in hyperfunction quantum field theory. Journal of Mathematical Physics. 39(10). 5098–5111. 3 indexed citations

10.

Blanchard, Philippe & Erwin Brüning. (1992). Variational Methods in Mathematical Physics. CERN Document Server (European Organization for Nuclear Research). 91 indexed citations

11.

Brüning, Erwin. (1990). On the variational approach to semilinear elliptic equations with scale-covariance. Journal of Differential Equations. 83(1). 109–144. 2 indexed citations

12.

Brüning, Erwin, et al.. (1989). Hyperfunction quantum field theory: Basic structural results. Journal of Mathematical Physics. 30(10). 2340–2359. 18 indexed citations

13.

Brüning, Erwin. (1986). When is a Field a Jacobi-Field? A Characterization of States on Tensor Algebras. Publications of the Research Institute for Mathematical Sciences. 22(2). 209–246. 2 indexed citations

14.

Brüning, Erwin. (1985). On the construction of fields and the topological role of Jacobi fields. Reports on Mathematical Physics. 21(2). 143–158. 1 indexed citations

15.

Brüning, Erwin. (1984). A new class of Wick powers of generalized free fields. Journal of Mathematical Physics. 25(10). 3064–3075. 4 indexed citations

16.

Brüning, Erwin & Fritz Gesztesy. (1983). Continuity of wave and scattering operators with respect to interactions. Journal of Mathematical Physics. 24(6). 1516–1528. 9 indexed citations

17.

Brüning, Erwin, et al.. (1982). Direkte Methoden der Variationsrechnung : Ein Lehrbuch. Springer eBooks. 4 indexed citations

18.

Brüning, Erwin. (1981). The $n$-field-irreducible part of a $n$-point functional. French digital mathematics library (Numdam). 34(3). 309–328. 1 indexed citations

19.

Brüning, Erwin. (1978). On the characterization of relativistic quantum field theories in terms of finitely many vacuum expectation values. I. Communications in Mathematical Physics. 58(2). 139–166. 2 indexed citations

20.

Brüning, Erwin. (1971). Über das Holomorphiegebiet der Vierpunkt-Funktion. Communications in Mathematical Physics. 23(3). 231–254. 1 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.

Explore authors with similar magnitude of impact