Harold Widom

9.0k citations
124 papers · 4.7k · 1 hit paper · h-index 34

Impact in

Papers in

    • Spectral Theory in Mathematical Physics 29
    • Stochastic processes and statistical mechanics 26
    • Mathematical functions and polynomials 14
    • Holomorphic and Operator Theory 13

Harold Widom

117 papers receiving 4.0k citations

Harold Widom's Hit Papers

Level-spacing distributions and the Airy kernel 1994 · 1000 citations
10000+10+21Years since publication2505007501000

Peers

Harold Widom
Comparison fields: 5 of 98
  • Statistics and Probability 2.2k
  • Mathematical Physics 2.3k
  • Discrete Mathematics and Combinatorics 770
  • Applied Mathematics 1.4k
  • Geometry and Topology 556
Replace Oded Schramm with:
Oded Schramm United States
Percy Deift United States
Peter J. Forrester Australia
Ya. G. Sinaǐ Russia
Craig A. Tracy United States
Horng‐Tzer Yau United States
L. А. Pastur Ukraine
Jinho Baik United States
Arno B. J. Kuijlaars Belgium
László Erdős United States
Harold Widom relative to Oded Schramm United States Oded Schramm's profile →
Citations per field
00.5×2.7×
Oded Schramm · 1×
Citations per year

Countries citing papers authored by Harold Widom

Since Specialization
Citations

This map shows the geographic impact of Harold Widom'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 Harold Widom with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Harold Widom more than expected).

Fields of papers citing papers by Harold Widom

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Harold Widom. 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 Harold Widom. The network helps show where Harold Widom may publish in the future.

Co-authors

The 19 scholars most cited alongside Harold Widom, 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 Harold Widom Line = papers co-authored together Harold Widom links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 124 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Level-spacing distributions and the Airy kernel
Hit paper breakdown →
19941000
2 1994207
3 1993203
4 1969192
5 1974175
6 1980136
7 2009131
8 1976124
9 1959102
10 2001101
11 197392
12 196473
13 195868
14 200665
15 200861
16 200160
17
199960
18 196457
19 200256
20 196354

About Harold Widom

Harold Widom is a scholar working on Mathematical Physics, Applied Mathematics, Statistics and Probability, Computational Theory and Mathematics and Geometry and Topology, having authored 124 papers that have together received 4.7k indexed citations. Recurring topics across this work include Random Matrices and Applications (41 papers), Spectral Theory in Mathematical Physics (29 papers), Matrix Theory and Algorithms (27 papers), Stochastic processes and statistical mechanics (26 papers), Mathematical functions and polynomials (14 papers), Advanced Combinatorial Mathematics (13 papers), Holomorphic and Operator Theory (13 papers) and Theoretical and Computational Physics (11 papers). The work is most often cited by research in Statistics and Probability (2.2k citations), Mathematical Physics (2.3k citations), Discrete Mathematics and Combinatorics (770 citations), Applied Mathematics (1.4k citations) and Geometry and Topology (556 citations). Harold Widom has collaborated with scholars based in United States, Germany and France. Frequent co-authors include Craig A. Tracy, H. J. Landau, Estelle Basor, Janko Gravner, Alberto P. Calderón, Frank Spitzer, Albrecht Böttcher, Herbert S. Wilf, Marvin Rosenblum and B. Widom. Their work appears in journals such as Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, Journal of Statistical Physics, Indiana University Mathematics Journal and Journal of Functional Analysis.

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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