What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (33.49%)
- Mathematical analysis (26.89%)
- Eigenvalues and eigenvectors (19.34%)
What were the highlights of his more recent work (between 2008-2018)?
- Asymmetric simple exclusion process (15.57%)
- Initial value problem (8.96%)
- Work (7.08%)
In recent papers he was focusing on the following fields of study:
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.
Between 2008 and 2018, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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