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- Harold Widom

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
55
Citations
12,255
159
World Ranking
572
National Ranking
300

2020 - Steele Prize for Seminal Contribution to Research

2013 - Fellow of the American Mathematical Society

2007 - Norbert Wiener Prize in Applied Mathematics

2006 - Fellow of the American Academy of Arts and Sciences

2002 - George Pólya Prize

1972 - Fellow of John Simon Guggenheim Memorial Foundation

1967 - Fellow of John Simon Guggenheim Memorial Foundation

1962 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Algebra
- Quantum mechanics

Pure mathematics, Mathematical analysis, Random matrix, Eigenvalues and eigenvectors and Fredholm determinant are his primary areas of study. His work in Pure mathematics is not limited to one particular discipline; it also encompasses Bounded function. Harold Widom has included themes like Distribution function, Brownian motion and Tracy–Widom distribution in his Mathematical analysis study.

The concepts of his Random matrix study are interwoven with issues in Airy function, Unitary matrix and Hermitian matrix. His work deals with themes such as Function and Distribution, which intersect with Eigenvalues and eigenvectors. His study in Fredholm determinant is interdisciplinary in nature, drawing from both Asymmetric simple exclusion process and Fredholm theory.

- Level spacing distributions and the Airy kernel (1757 citations)
- On orthogonal and symplectic matrix ensembles (905 citations)
- Level spacing distributions and the Bessel kernel (359 citations)

Harold Widom mainly investigates Pure mathematics, Mathematical analysis, Eigenvalues and eigenvectors, Combinatorics and Random matrix. His Pure mathematics research is multidisciplinary, incorporating perspectives in Class, Asymmetric simple exclusion process and Matrix. The various areas that he examines in his Mathematical analysis study include Distribution function, Brownian motion and Tracy–Widom distribution.

His Eigenvalues and eigenvectors study combines topics in areas such as Operator, Gaussian, Hermitian matrix and Scaling limit. His Random matrix research incorporates elements of Airy function, Unitary matrix and Saddle point. Harold Widom combines subjects such as Initial value problem and Differential operator with his study of Fredholm determinant.

- Pure mathematics (33.49%)
- Mathematical analysis (26.89%)
- Eigenvalues and eigenvectors (19.34%)

- Asymmetric simple exclusion process (15.57%)
- Initial value problem (8.96%)
- Work (7.08%)

His main research concerns Asymmetric simple exclusion process, Initial value problem, Work, Pure mathematics and Mathematical analysis. His Asymmetric simple exclusion process study integrates concerns from other disciplines, such as Function, Particle and Bethe ansatz. His Initial value problem research focuses on subjects like Fredholm determinant, which are linked to Universality.

His biological study spans a wide range of topics, including Matrix and Mathematical proof. His Mathematical analysis study focuses on Class in particular. His studies deal with areas such as Eigenvalues and eigenvectors and Diagonal matrix as well as Combinatorics.

- Asymptotics in ASEP with Step Initial Condition (275 citations)
- On ASEP with Step Bernoulli Initial Condition (73 citations)
- Total Current Fluctuations in ASEP (57 citations)

- Mathematical analysis
- Algebra
- Quantum mechanics

His primary areas of study are Asymmetric simple exclusion process, Statistical physics, Initial value problem, Bethe ansatz and Integral equation. His work in Asymmetric simple exclusion process addresses issues such as Work, which are connected to fields such as Multiple integral, Pure mathematics and Discrete mathematics. His research integrates issues of Universality, Limit and Fredholm determinant in his study of Initial value problem.

In his research on the topic of Bethe ansatz, Quantum electrodynamics, Quantum mechanics, Line, Boson and Finite set is strongly related with Function. Complex system is intertwined with Mathematical analysis and Distribution function in his research. His Applied mathematics research is multidisciplinary, relying on both Covariance matrix and Random matrix.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Level spacing distributions and the Airy kernel

Craig A. Tracy;Harold Widom.

Communications in Mathematical Physics **(1994)**

2010 Citations

On orthogonal and symplectic matrix ensembles

Craig A. Tracy;Harold Widom.

Communications in Mathematical Physics **(1996)**

1028 Citations

Extremal polynomials associated with a system of curves in the complex plane

Harold Widom.

Advances in Mathematics **(1969)**

453 Citations

Fredholm Determinants, Differential Equations and Matrix Models

Craig A. Tracy;Harold Widom.

Communications in Mathematical Physics **(1994)**

406 Citations

Asymptotic behavior of block Toeplitz matrices and determinants. II

Harold Widom.

Advances in Mathematics **(1974)**

387 Citations

Level spacing distributions and the Bessel kernel

Craig A. Tracy;Harold Widom.

Communications in Mathematical Physics **(1994)**

385 Citations

Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices

Craig A. Tracy;Harold Widom.

Journal of Statistical Physics **(1998)**

327 Citations

Eigenvalue distribution of time and frequency limiting

H.J Landau;H Widom.

Journal of Mathematical Analysis and Applications **(1980)**

318 Citations

Asymptotics in ASEP with Step Initial Condition

Craig A. Tracy;Harold Widom.

Communications in Mathematical Physics **(2009)**

307 Citations

Integral Formulas for the Asymmetric Simple Exclusion Process

Craig A. Tracy;Harold Widom.

Communications in Mathematical Physics **(2008)**

265 Citations

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