Gerd Herzog

1.3k total citations
84 papers, 523 citations indexed

About

Gerd Herzog is a scholar working on Applied Mathematics, Mathematical Physics and Artificial Intelligence. According to data from OpenAlex, Gerd Herzog has authored 84 papers receiving a total of 523 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Applied Mathematics, 21 papers in Mathematical Physics and 17 papers in Artificial Intelligence. Recurrent topics in Gerd Herzog's work include Nonlinear Differential Equations Analysis (21 papers), Differential Equations and Boundary Problems (14 papers) and Advanced Banach Space Theory (9 papers). Gerd Herzog is often cited by papers focused on Nonlinear Differential Equations Analysis (21 papers), Differential Equations and Boundary Problems (14 papers) and Advanced Banach Space Theory (9 papers). Gerd Herzog collaborates with scholars based in Germany, United States and Luxembourg. Gerd Herzog's co-authors include Thomas Rist, Elisabeth André, Ray Redheffer, Wolfgang Wahlster, Peer Christian Kunstmann, Kumiko Tanaka‐Ishii, Sean Luke, Kim Binsted, Peter Poller and Tim C. Lueth and has published in prestigious journals such as American Mathematical Monthly, Artificial Intelligence Review and Nonlinear Analysis.

In The Last Decade

Gerd Herzog

60 papers receiving 431 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gerd Herzog Germany	13	182	163	100	96	66	84	523
Attila Gilányi Hungary	17	153 0.8×	230 1.4×	72 0.7×	76 0.8×	312 4.7×	54	727
Krzysztof Ciesielski United States	14	40 0.2×	221 1.4×	21 0.2×	358 3.7×	97 1.5×	91	786
John S. Caughman United States	13	123 0.7×	15 0.1×	48 0.5×	19 0.2×	222 3.4×	35	956
Takeshi Miura Japan	17	21 0.1×	891 5.5×	58 0.6×	394 4.1×	86 1.3×	114	1.3k
Daeyeoul Kim South Korea	10	39 0.2×	124 0.8×	89 0.9×	47 0.5×	4 0.1×	73	538
Abe Shenitzer Canada	7	69 0.4×	19 0.1×	21 0.2×	39 0.4×	10 0.2×	34	355
Huiqiang Jiang China	11	153 0.8×	55 0.3×	43 0.4×	25 0.3×	25 0.4×	33	338
Underwood Dudley United States	8	36 0.2×	24 0.1×	14 0.1×	36 0.4×	10 0.2×	27	307
Zuxing Xuan China	11	20 0.1×	75 0.5×	46 0.5×	28 0.3×	62 0.9×	45	333
David Schneider United States	9	121 0.7×	22 0.1×	53 0.5×	10 0.1×	9 0.1×	41	316

Countries citing papers authored by Gerd Herzog

Since Specialization

Citations

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

Fields of papers citing papers by Gerd Herzog

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gerd Herzog

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

All Works

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20 of 20 papers shown

Herzog, Gerd, Raymond Mortini, & Peter Pflug. (2024). Locally Non-Measurable Functions with Many Continuity Points. Real Analysis Exchange. 50(1).

Herzog, Gerd & Peer Christian Kunstmann. (2019). Korovkin’s Theorem for Functionals and Limits for Box Integrals. American Mathematical Monthly. 126(5). 449–454. 2 indexed citations

Herzog, Gerd & Peer Christian Kunstmann. (2014). Kuratowski's Measure of Noncompactness with Respect to Thompson's Metric. Zeitschrift für Analysis und ihre Anwendungen. 33(3). 335–346. 2 indexed citations

Herzog, Gerd & Peer Christian Kunstmann. (2014). Global Asymptotic Stability for Semilinear Equations via Thompson's Metric. Extracta Mathematicae. 29(1). 141–157.

Herzog, Gerd & Peer Christian Kunstmann. (2013). A Fixed Point Theorem for Decreasing Functions. Numerical Functional Analysis and Optimization. 34(5). 530–538. 2 indexed citations

Reithinger, Norbert, Gerd Herzog, & Anselm Blocher. (2007). SmartWeb - Mobile Broadband Access to the Semantic Web.. Künstliche Intell.. 21. 30–33. 3 indexed citations

Herzog, Gerd, et al.. (2007). An example on ordered Banach algebras. Proceedings of the American Mathematical Society. 135(12). 3949–3954. 1 indexed citations

Herzog, Gerd. (2003). Semicontinuous solutions of systems of functional equations. 207–219. 1 indexed citations

Herzog, Gerd, et al.. (2003). A note on a theorem of Raubenheimer and Rode. Proceedings of the American Mathematical Society. 131(11). 3507–3509. 3 indexed citations

10.

Herzog, Gerd. (2002). Lagrange Interpolation for the Disk Algebra: The Worst Case. Journal of Approximation Theory. 115(2). 354–358. 1 indexed citations

11.

Herzog, Gerd. (2001). Universal perturbations of linear differential equations. Proceedings of the American Mathematical Society. 130(3). 703–705.

12.

André, Elisabeth, Kim Binsted, Kumiko Tanaka‐Ishii, et al.. (2000). Three RoboCup Simulation League Commentator Systems. AI Magazine. 21(1). 57–66. 34 indexed citations

13.

Herzog, Gerd, et al.. (2000). On ordered spaces of polynomials. Linear Algebra and its Applications. 320(1-3). 199–203. 1 indexed citations

14.

Herzog, Gerd, et al.. (1999). An existence theorem for systems of boundary value problems. Proceedings of the American Mathematical Society. 128(1). 157–160. 2 indexed citations

15.

Herzog, Gerd, et al.. (1998). On quasipositive elements in ordered Banach algebras. Studia Mathematica. 129(1). 59–65. 6 indexed citations

16.

Herzog, Gerd. (1998). On ordinary differential equations with quasimonotone increasing right-hand side. Archiv der Mathematik. 70(2). 142–146. 5 indexed citations

17.

Herzog, Gerd, et al.. (1994). VIsual TRAnslator: Linking perceptions and natural language descriptions. Artificial Intelligence Review. 8(2-3). 175–187. 22 indexed citations

18.

Herzog, Gerd, et al.. (1993). Vitra guide: multimodal route descriptions for computer assisted vehicle navigation. 144–147. 13 indexed citations

19.

André, Elisabeth, Gerd Herzog, & Thomas Rist. (1988). On the simultaneous interpretation of real world image sequences and their natural language description: the system soccer. OpenGrey (Institut de l'Information Scientifique et Technique). 449–454. 59 indexed citations

20.

André, Elisabeth, et al.. (1986). Coping with the Intrinsic and Deictic Uses of Spatial Prepositions.. OpenGrey (Institut de l'Information Scientifique et Technique). 375–382. 16 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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