Geophysics and Gravity Measurements (1 paper)Historical Astronomy and Related Studies (1 paper)Advanced Mathematical Theories and Applications (1 paper)
Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the
same subfield and year (this is the minimum needed to enter the top 1%, not the average within
it), or reaches the top citation threshold in at least one of its specific research topics.
Mathematical Methods of Classical Mechanics
19895.2k citationsV. I. ArnoldGraduate texts in mathematicsprofile →
This map shows the geographic impact of V. I. 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. I. 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. I. Arnold more than expected).
This network shows the impact of papers produced by V. I. 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. I. Arnold. The network helps show where V. I. Arnold may publish in the future.
Co-authorship network of co-authors of V. I. Arnold
This figure shows the co-authorship network connecting the top 25 collaborators of V. I. Arnold.
A scholar is included among the top collaborators of V. I. 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 V. I. Arnold. V. I. Arnold is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
V. I. Arnold is a scholar working on Statistical and Nonlinear Physics, Oceanography and Astronomy and Astrophysics, having authored 3 papers that have together received 5.6k indexed citations. Recurring topics across this work include Geophysics and Gravity Measurements (1 paper), Historical Astronomy and Related Studies (1 paper) and Advanced Mathematical Theories and Applications (1 paper). The work is most often cited by research in Statistical and Nonlinear Physics (2.8k citations), Numerical Analysis (576 citations) and Geometry and Topology (843 citations). V. I. Arnold has collaborated with scholars based in Russia, United States and France. Frequent co-authors include Valery Vasil'evich Kozlov, А. И. Нейштадт and M. Dresden. Their work appears in journals such as Physics Today, Graduate texts in mathematics and CERN Document Server (European Organization for Nuclear Research).
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.