Harold Widom

8.7k total citations · 1 hit paper
124 papers, 4.6k citations indexed

About

Harold Widom is a scholar working on Mathematical Physics, Applied Mathematics and Statistics and Probability. According to data from OpenAlex, Harold Widom has authored 124 papers receiving a total of 4.6k indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Mathematical Physics, 45 papers in Applied Mathematics and 41 papers in Statistics and Probability. Recurrent topics in Harold Widom's work include Random Matrices and Applications (41 papers), Spectral Theory in Mathematical Physics (29 papers) and Matrix Theory and Algorithms (27 papers). Harold Widom is often cited by papers focused on Random Matrices and Applications (41 papers), Spectral Theory in Mathematical Physics (29 papers) and Matrix Theory and Algorithms (27 papers). Harold Widom collaborates with scholars based in United States, Germany and United Kingdom. Harold Widom's 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 and has published in prestigious journals such as Physical Review Letters, Physics Letters B and Communications in Mathematical Physics.

In The Last Decade

Harold Widom

117 papers receiving 3.9k citations

Hit Papers

Level-spacing distributions and the Airy kernel 1994 2026 2004 2015 1994 250 500 750
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.

  1. Level-spacing distributions and the Airy kernel
    1994 972 citations Craig A. Tracy, Harold Widom profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Harold Widom United States 34 2.3k 2.1k 1.4k 743 673 124 4.6k
L. А. Pastur Ukraine 24 2.0k 0.9× 1.8k 0.8× 358 0.3× 522 0.7× 451 0.7× 112 4.7k
Percy Deift United States 43 4.1k 1.8× 2.4k 1.1× 2.1k 1.5× 1.1k 1.5× 1.0k 1.5× 110 7.9k
Horng‐Tzer Yau United States 40 2.7k 1.2× 1.9k 0.9× 575 0.4× 678 0.9× 196 0.3× 88 4.2k
Peter J. Forrester Australia 32 2.2k 1.0× 2.8k 1.3× 574 0.4× 1.4k 1.8× 163 0.2× 222 5.3k
J. Ginibre France 33 3.5k 1.5× 778 0.4× 1.2k 0.9× 196 0.3× 234 0.3× 82 4.9k
Oded Schramm United States 35 2.9k 1.3× 1.3k 0.6× 802 0.6× 290 0.4× 630 0.9× 83 4.2k
Ya. G. Sinaǐ Russia 32 4.0k 1.7× 643 0.3× 1.1k 0.8× 166 0.2× 823 1.2× 121 7.2k
Craig A. Tracy United States 27 1.5k 0.7× 1.8k 0.9× 225 0.2× 642 0.9× 99 0.1× 70 3.6k
László Erdős United States 31 2.0k 0.9× 1.7k 0.8× 309 0.2× 713 1.0× 191 0.3× 121 3.2k
George E. Andrews United States 43 1.4k 0.6× 448 0.2× 2.5k 1.8× 5.4k 7.2× 911 1.4× 331 10.6k

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-authorship network of co-authors of Harold Widom

This figure shows the co-authorship network connecting the top 25 collaborators of Harold Widom. A scholar is included among the top collaborators of Harold Widom 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 Harold Widom. Harold Widom is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Tracy, Craig A. & Harold Widom. (2009). On the Distribution of a Second Class Particle in the Asymmetric Simple Exclusion\n Process. eScholarship (California Digital Library). 8 indexed citations
2.
Böttcher, Albrecht & Harold Widom. (2006). Szegö via Jacobi. Linear Algebra and its Applications. 419(2-3). 656–667. 20 indexed citations
3.
Böttcher, Albrecht & Harold Widom. (2005). On the eigenvalues of certain canonical higher-order ordinary differential operators. Journal of Mathematical Analysis and Applications. 322(2). 990–1000. 7 indexed citations
4.
Tracy, Craig A. & Harold Widom. (1999). On the Distributions of the Lengths of the Longest Increasing and Decreasing Subsequences in Random Words. arXiv (Cornell University). 3 indexed citations
5.
Tracy, Craig A. & Harold Widom. (1997). The Distribution of the Largest Eigenvalue in the Gaussian Ensembles. eScholarship (California Digital Library). 50 indexed citations
6.
Böttcher, Albrecht, Bernd Silbermann, & Harold Widom. (1994). A Continuous Analogue of the Fisher-Hartwig Formula for Piecewise Continuous Symbols. Journal of Functional Analysis. 122(1). 222–246. 7 indexed citations
7.
Widom, Harold. (1989). On the Singular Values of Toeplitz Matrices. Zeitschrift für Analysis und ihre Anwendungen. 8(3). 221–229. 27 indexed citations
8.
Widom, Harold. (1988). On an inequality of Osgood, Phillips and Sarnak. Proceedings of the American Mathematical Society. 102(3). 773–774. 9 indexed citations
9.
Widom, Harold. (1979). Eigenvalue distribution theorems for certain homogeneous spaces. Journal of Functional Analysis. 32(2). 139–147. 20 indexed citations
10.
Widom, Harold. (1975). On the limit of block Toeplitz determinants. Proceedings of the American Mathematical Society. 50(1). 167–167. 31 indexed citations
11.
Widom, Harold. (1972). Rational approximation and n-dimensional diameter. Journal of Approximation Theory. 5(4). 343–361. 29 indexed citations
12.
Widom, Harold. (1963). Rapidly increasing kernels. Proceedings of the American Mathematical Society. 14(3). 501–506. 2 indexed citations
13.
Widom, Harold. (1963). Asymptotic Behavior of the Eigenvalues of Certain Integral Equations. Transactions of the American Mathematical Society. 109(2). 278–278. 8 indexed citations
14.
Widom, Harold. (1961). Stable Processes and Integral Equations. Transactions of the American Mathematical Society. 98(3). 430–430. 15 indexed citations
15.
Widom, Harold. (1961). A Two-Sided Absorption Problem. Proceedings of the American Mathematical Society. 12(6). 862–862.
16.
Widom, Harold. (1961). Stable processes and integral equations. Transactions of the American Mathematical Society. 98(3). 430–430. 27 indexed citations
17.
Widom, Harold. (1961). A two-sided absorption problem. Proceedings of the American Mathematical Society. 12(6). 862–869.
18.
Widom, Harold. (1961). Extreme eigenvalues of translation kernels. Transactions of the American Mathematical Society. 100(2). 252–262. 41 indexed citations
19.
Widom, Harold. (1958). On The Eigenvalues of Certain Hermitian Operators. Transactions of the American Mathematical Society. 88(2). 491–491. 23 indexed citations
20.
Widom, Harold. (1958). On the eigenvalues of certain Hermitian operators. Transactions of the American Mathematical Society. 88(2). 491–522. 70 indexed citations

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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