What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Electron
His scientific interests lie mostly in Random matrix, Combinatorics, Eigenvalues and eigenvectors, Hermitian matrix and Mathematical physics.
His study looks at the relationship between Random matrix and topics such as Matrix, which overlap with Pure mathematics.
His Combinatorics research includes elements of Adjacency matrix and Universality.
His Eigenvalues and eigenvectors study combines topics in areas such as Logarithm and Gaussian.
He merges many fields, such as Hermitian matrix and Order, in his writings.
His research in Mathematical physics intersects with topics in BBGKY hierarchy, Schrödinger equation, Boson, Limit point and Hamiltonian.
His most cited work include:
- Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems (295 citations)
- Local Semicircle Law and Complete Delocalization for Wigner Random Matrices (253 citations)
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices (237 citations)
What are the main themes of his work throughout his whole career to date?
László Erdős mainly investigates Random matrix, Mathematical physics, Eigenvalues and eigenvectors, Matrix and Hermitian matrix.
The various areas that he examines in his Random matrix study include Universality, Orthogonal matrix and Pure mathematics, Resolvent.
His Mathematical physics research is multidisciplinary, relying on both Mathematical analysis, Schrödinger equation, BBGKY hierarchy, Brownian motion and Scaling limit.
László Erdős has researched Eigenvalues and eigenvectors in several fields, including Discrete mathematics, Hamiltonian, Gaussian and Combinatorics.
His research integrates issues of Thermalisation, Limit and Random variable in his study of Matrix.
The concepts of his Hermitian matrix study are interwoven with issues in Circular ensemble, Unitary matrix, Mesoscopic physics and Bounded function.
He most often published in these fields:
- Random matrix (41.79%)
- Mathematical physics (40.30%)
- Eigenvalues and eigenvectors (41.79%)
What were the highlights of his more recent work (between 2018-2021)?
- Random matrix (41.79%)
- Mathematical physics (40.30%)
- Eigenvalues and eigenvectors (41.79%)
In recent papers he was focusing on the following fields of study:
Random matrix, Mathematical physics, Eigenvalues and eigenvectors, Matrix and Hermitian matrix are his primary areas of study.
His Random matrix research focuses on Mathematical analysis and how it relates to Stieltjes transform, Density of states, Quadratic equation and Unitary state.
His Mathematical physics study incorporates themes from Singularity, Hamiltonian, Thermalisation and Energy method.
His Eigenvalues and eigenvectors study integrates concerns from other disciplines, such as Gaussian, Quadratic form and Brownian motion.
His research investigates the connection between Matrix and topics such as Limit that intersect with issues in Trace, Analytic function, Linear differential equation and Pure mathematics.
While the research belongs to areas of Hermitian matrix, László Erdős spends his time largely on the problem of Universality, intersecting his research to questions surrounding Independent and identically distributed random variables.
Between 2018 and 2021, his most popular works were:
- Stability of the matrix Dyson equation and random matrices with correlations (27 citations)
- Quadratic Vector Equations on Complex Upper Half-Plane (15 citations)
- Spectral rigidity for addition of random matrices at the regular edge (8 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Electron
László Erdős spends much of his time researching Random matrix, Mathematical analysis, Hermitian matrix, Eigenvalues and eigenvectors and Upper half-plane.
The study incorporates disciplines such as Unitary state and Resolvent in addition to Random matrix.
His work on Unitary matrix is typically connected to Rate of convergence and Haar as part of general Unitary state study, connecting several disciplines of science.
His Resolvent research incorporates themes from Universality and Mathematical physics.
He combines subjects such as Quadratic equation, Stieltjes transform and Density of states with his study of Upper half-plane.
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