V. Arnold
Impact in
- Geometry and Topology top 5%
- Geometric and Algebraic Topology
- Advanced Differential Equations and Dynamical Systems
- Algebraic Geometry and Number Theory
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- Advanced Combinatorial Mathematics
Papers in
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- Point processes and geometric inequalities 1
- Navier-Stokes equation solutions 1
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- Mathematics and Applications 1
V. Arnold
12 papers receiving 264 citations
Peers
Comparison fields: 5 of 57
- Geometry and Topology 162
- Discrete Mathematics and Combinatorics 38
- Mathematical Physics 84
- Algebra and Number Theory 30
- Theoretical Computer Science 8
Countries citing papers authored by V. Arnold
This map shows the geographic impact of V. 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 V. Arnold with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites V. Arnold more than expected).
Fields of papers citing papers by V. Arnold
This network shows the impact of papers produced by V. 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 V. Arnold. The network helps show where V. Arnold may publish in the future.
No co-authors to show.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2005 | 116 | |
| 2 | 1990 | 68 | |
| 3 | 1980 | 51 | |
| 4 | 1989 | 23 | |
| 5 | Conditions for nonlinear stability of plane steady curvilinear flows of an ideal fluid | 1965 | 20 |
| 6 | 2013 | 16 | |
| 7 | 1987 | 6 | |
| 8 | 1978 | 3 | |
| 9 | 1987 | 2 | |
| 10 | 1978 | 1 | |
| 11 | 2009 | 1 | |
| 12 | 2004 | 1 |
About V. Arnold
V. Arnold is a scholar working on Applied Mathematics, Geometry and Topology, Computational Mechanics, Control and Systems Engineering and Insect Science, having authored 12 papers that have together received 308 indexed citations. Recurring topics across this work include Point processes and geometric inequalities (1 paper), Navier-Stokes equation solutions (1 paper), Mathematics and Applications (1 paper), Stability and Controllability of Differential Equations (1 paper) and Fluid Dynamics and Turbulent Flows (1 paper). The work is most often cited by research in Geometry and Topology (162 citations), Discrete Mathematics and Combinatorics (38 citations), Mathematical Physics (84 citations), Algebra and Number Theory (30 citations) and Theoretical Computer Science (8 citations). V. Arnold has collaborated with scholars based in Russia and United States. Their work appears in journals such as Physics-Uspekhi, Russian Mathematical Surveys, Siberian Mathematical Journal, The Mathematical Intelligencer and Functional Analysis and Its Applications.
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.