Arne Brøndsted
- Computational Theory and Mathematics top 1%
- Geometry and Topology top 2%
- Applied Mathematics top 2%
- Numerical Analysis top 5%
- Mathematical Physics top 5%
- Topics
- Optimization and Variational Analysis (6 papers)Fixed Point Theorems Analysis (3 papers)Advanced Topology and Set Theory (2 papers)
- Journals
- American Mathematical MonthlyPacific Journal of MathematicsProceedings of the American Mathematical Society
- Partner nations
- DenmarkUnited StatesBulgaria
In The Last Decade
Arne Brøndsted
15 papers receiving 630 citations
Hit Papers
Peers
Comparison fields: 5 of 69
- Computational Theory and Mathematics 426
- Geometry and Topology 269
- Applied Mathematics 245
- Numerical Analysis 155
- Mathematical Physics 143
Countries citing papers authored by Arne Brøndsted
This map shows the geographic impact of Arne Brøndsted'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 Arne Brøndsted with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arne Brøndsted more than expected).
Fields of papers citing papers by Arne Brøndsted
This network shows the impact of papers produced by Arne Brøndsted. 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 Arne Brøndsted. The network helps show where Arne Brøndsted may publish in the future.
Co-authorship network of co-authors of Arne Brøndsted
This figure shows the co-authorship network connecting the top 25 collaborators of Arne Brøndsted. A scholar is included among the top collaborators of Arne Brøndsted 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 Arne Brøndsted. Arne Brøndsted is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 30 | |
| 3 | An Introduction to Convex Polytopesbreakdown → | 375 |
| 4 | 15 | |
| 5 | 5 | |
| 6 | 3 | |
| 7 | 27 | |
| 8 | 3 | |
| 9 | 9 | |
| 10 | 23 | |
| 11 | 3 | |
| 12 | 111 | |
| 13 | 18 | |
| 14 | 2 | |
| 15 | 15 | |
| 16 | 188 |
About Arne Brøndsted
Arne Brøndsted is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Computational Theory and Mathematics, having authored 16 papers that have together received 828 indexed citations. Recurring topics across this work include Optimization and Variational Analysis (6 papers), Fixed Point Theorems Analysis (3 papers) and Advanced Topology and Set Theory (2 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (123 citations), Geometry and Topology (269 citations) and Numerical Analysis (155 citations). Arne Brøndsted has collaborated with scholars based in Denmark, United States and Bulgaria. Frequent co-authors include R. T. Rockafellar, Carl W. Lee and George M. Maxwell. Their work appears in journals such as American Mathematical Monthly, Pacific Journal of Mathematics and Proceedings of the American Mathematical Society.
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.