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- László Erdős

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
30
Citations
4,743
70
World Ranking
2690
National Ranking
36

2015 - Member of Academia Europaea

- 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.

- 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)

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.

- Random matrix (41.79%)
- Mathematical physics (40.30%)
- Eigenvalues and eigenvectors (41.79%)

- Random matrix (41.79%)
- Mathematical physics (40.30%)
- Eigenvalues and eigenvectors (41.79%)

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.

- 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)

- 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.

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.

Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems

László Erdős;Benjamin Schlein;Horng-Tzer Yau.

Inventiones Mathematicae **(2007)**

336 Citations

Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin.

Annals of Probability **(2013)**

276 Citations

Bulk universality for generalized Wigner matrices

László Erdős;Horng-Tzer Yau;Jun Yin.

Probability Theory and Related Fields **(2012)**

271 Citations

Local Semicircle Law and Complete Delocalization for Wigner Random Matrices

László Erdős;Benjamin Schlein;Horng-Tzer Yau.

Communications in Mathematical Physics **(2009)**

263 Citations

Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

László Erdős;Benjamin Schlein;Horng-Tzer Yau.

Annals of Probability **(2009)**

247 Citations

Universality of random matrices and local relaxation flow

László Erdős;Benjamin Schlein;Horng-Tzer Yau.

Inventiones Mathematicae **(2011)**

218 Citations

Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin.

Communications in Mathematical Physics **(2012)**

207 Citations

Wegner Estimate and Level Repulsion for Wigner Random Matrices

László Erdős;Benjamin Schlein;Horng-Tzer Yau.

International Mathematics Research Notices **(2010)**

206 Citations

Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

László Erdős;Benjamin Schlein;Benjamin Schlein;Horng-Tzer Yau;Horng-Tzer Yau.

Communications on Pure and Applied Mathematics **(2006)**

194 Citations

The local semicircle law for a general class of random matrices

László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin.

Electronic Journal of Probability **(2013)**

185 Citations

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