V. I. Arnold

9.5k total citations · 1 hit paper
3 papers, 5.6k citations indexed

About

V. I. Arnold is a scholar working on Statistical and Nonlinear Physics, Astronomy and Astrophysics and Oceanography. According to data from OpenAlex, V. I. Arnold has authored 3 papers receiving a total of 5.6k indexed citations (citations by other indexed papers that have themselves been cited), including 2 papers in Statistical and Nonlinear Physics, 1 paper in Astronomy and Astrophysics and 1 paper in Oceanography. Recurrent topics in V. I. Arnold's work include Geophysics and Gravity Measurements (1 paper), Historical Astronomy and Related Studies (1 paper) and Advanced Mathematical Theories and Applications (1 paper). V. I. Arnold is often cited by papers focused on Geophysics and Gravity Measurements (1 paper), Historical Astronomy and Related Studies (1 paper) and Advanced Mathematical Theories and Applications (1 paper). V. I. Arnold collaborates with scholars based in Russia, United States and France. V. I. Arnold's co-authors include Valery Vasil'evich Kozlov, А. И. Нейштадт and M. Dresden and has published in prestigious journals such as Physics Today, Graduate texts in mathematics and CERN Document Server (European Organization for Nuclear Research).

In The Last Decade

V. I. Arnold

2 papers receiving 5.0k citations

Hit Papers

align trajectories

What are hit papers?

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

1989 5.2k citations V. I. Arnold Graduate texts in mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
V. I. Arnold Russia	2	2.8k	1000	925	854	843	3	5.6k
N. N. Bogolyubov Ukraine	18	1.7k 0.6×	1.8k 1.8×	522 0.6×	520 0.6×	233 0.3×	113	5.6k
E. T. Whittaker United States	10	1.5k 0.5×	978 1.0×	397 0.4×	657 0.8×	731 0.9×	25	5.0k
Philip Rosenau Israel	38	3.7k 1.3×	696 0.7×	225 0.2×	364 0.4×	607 0.7×	126	5.6k
Tudor S. Raţiu Switzerland	40	4.2k 1.5×	680 0.7×	2.3k 2.5×	1.4k 1.6×	2.2k 2.7×	206	10.6k
Jürgen Moser Switzerland	32	2.3k 0.8×	302 0.3×	655 0.7×	646 0.8×	2.0k 2.3×	51	7.0k
Darryl D. Holm United States	45	6.8k 2.5×	808 0.8×	910 1.0×	893 1.0×	2.2k 2.6×	262	11.6k
M. Hénon France	27	3.8k 1.4×	567 0.6×	166 0.2×	1.2k 1.4×	452 0.5×	51	6.0k
Cécile DeWitt-Morette United States	18	1.1k 0.4×	1.5k 1.5×	266 0.3×	939 1.1×	190 0.2×	50	4.1k
F. W. J. Olver United States	26	1.3k 0.5×	1.8k 1.8×	139 0.2×	592 0.7×	458 0.5×	85	7.4k
Arthur Erdélyi United States	5	1.6k 0.6×	1.9k 1.9×	176 0.2×	528 0.6×	697 0.8×	7	8.0k

Countries citing papers authored by V. I. Arnold

Since Specialization

Citations

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).

Fields of papers citing papers by V. I. Arnold

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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.

All Works

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3 of 3 papers shown

1.

Arnold, V. I., Valery Vasil'evich Kozlov, & А. И. Нейштадт. (1993). Mathematical Aspects of Classical and Celestial Mechanics. CERN Document Server (European Organization for Nuclear Research). 367 indexed citations

2.

Arnold, V. I. & M. Dresden. (1989). In Brief. Physics Today. 42(10). 148–150.

3.

Arnold, V. I.. (1989). Mathematical Methods of Classical Mechanics. Graduate texts in mathematics. 5212 indexed citations breakdown →

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.

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