Volker Arnold
- Geometry and Topology top 5%
- Mathematical Physics top 10%
- Applied Mathematics top 10%
- Computational Theory and Mathematics
- Atomic and Molecular Physics, and Optics
- Topics
- Economic and Social Issues (2 papers)Spectral Theory in Mathematical Physics (2 papers)Forest Ecology and Biodiversity Studies (2 papers)
- Journals
- Journal of Applied PhysicsQuaternary InternationalMathematical Proceedings of the Cambridge Philosophical Society
- Partner nations
- GermanyRussiaUnited States
In The Last Decade
Volker Arnold
16 papers receiving 191 citations
Peers
Comparison fields: 5 of 62
- Geometry and Topology 126
- Mathematical Physics 79
- Applied Mathematics 43
- Computational Theory and Mathematics 31
- Atomic and Molecular Physics, and Optics 23
Countries citing papers authored by Volker Arnold
This map shows the geographic impact of Volker Arnold'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 Volker Arnold with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Volker Arnold more than expected).
Fields of papers citing papers by Volker Arnold
This network shows the impact of papers produced by Volker Arnold. 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 Volker Arnold. The network helps show where Volker Arnold may publish in the future.
Co-authorship network of co-authors of Volker Arnold
This figure shows the co-authorship network connecting the top 25 collaborators of Volker Arnold. A scholar is included among the top collaborators of Volker Arnold 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 Volker Arnold. Volker Arnold is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 4 | |
| 2 | 3 | |
| 3 | 0 | |
| 4 | 2 | |
| 5 | 3 | |
| 6 | 1 | |
| 7 | Rund um Albersdorf. Ein Führer zu den archäologischen und ökologischen Sehenswürdigkeiten | 2 |
| 8 | Competitive versus cooperative federalism is a fiscal equalization scheme necessary from an allocative point of view? | 3 |
| 9 | 12 | |
| 10 | 21 | |
| 11 | 8 | |
| 12 | 1 | |
| 13 | 7 | |
| 14 | 14 | |
| 15 | 104 | |
| 16 | 1 | |
| 17 | 1 | |
| 18 | 20 | |
| 19 | 20 |
About Volker Arnold
Volker Arnold is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory, having authored 19 papers that have together received 227 indexed citations. Recurring topics across this work include Economic and Social Issues (2 papers), Spectral Theory in Mathematical Physics (2 papers) and Forest Ecology and Biodiversity Studies (2 papers). The work is most often cited by research in Geometry and Topology (126 citations), Mathematical Physics (79 citations) and Discrete Mathematics and Combinatorics (17 citations). Volker Arnold has collaborated with scholars based in Germany, Russia and United States. Frequent co-authors include Arthur L. Ruoff, Hubert Kalf, Jean Dejax, Bernard Lugardon, Gaėl De Ploëg and Oliver Nelle. Their work appears in journals such as Journal of Applied Physics, Quaternary International and Mathematical Proceedings of the Cambridge Philosophical 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.