Mathematical Methods of Classical Mechanics1989 · 5.3k citations
What are hit papers?
Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if any of the following hold:
it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the
threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.
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-authors
The 3 scholars most cited alongside V. I. Arnold, linked wherever they
have co-authored with each other. Click a name or a connecting line to browse the papers
they share.
Border = papers with V. I. ArnoldLine = papers co-authored togetherV. I. Arnold links everyone, so they are left out of the graph.
V. I. Arnold is a scholar working on Statistical and Nonlinear Physics, Astronomy and Astrophysics, Oceanography, Infectious Diseases and Organic Chemistry, having authored 3 papers that have together received 5.6k indexed citations. Recurring topics across this work include Advanced Mathematical Theories and Applications (1 paper), Experimental and Theoretical Physics Studies (1 paper), Historical Astronomy and Related Studies (1 paper) and Geophysics and Gravity Measurements (1 paper). The work is most often cited by research in Statistical and Nonlinear Physics (2.8k citations), Numerical Analysis (578 citations), Geometry and Topology (852 citations), Mathematical Physics (849 citations) and Astronomy and Astrophysics (866 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, CERN Document Server (European Organization for Nuclear Research) and Graduate texts in mathematics.
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.