Wegner Estimate and Level Repulsion for Wigner Random Matrices
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2009/08/29
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Indian UGC (journal)
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Refrences16
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Citations93
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László Erdős
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Benjamin Schlein
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Horng-Tzer Yau
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Local Semicircle Law and Complete Delocalization for Wigner Random Matrices | Communications in Mathematical Physics |
| 135 | 2009 |
| “Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices” | 2009 | |||
| Bulk Universality and Related Properties of Hermitian Matrix Models | Journal of Statistical Physics |
| 45 | 2008 |
| Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices | Communications in Mathematical Physics |
| 118 | 2001 |
| Universality at the Edge of the Spectrum¶in Wigner Random Matrices | Communications in Mathematical Physics |
| 181 | 1999 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 2 |
| Science: Physics | 1 |
The category
Science: Mathematics 2
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Functional Analysis and Journal of Statistical Physics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
The least singular value of a random symmetric matrix | Forum of Mathematics, Pi |
| 2024 | |
Nodal Decompositions of a Symmetric Matrix | International Mathematics Research Notices |
| 2024 | |
Overcrowding and separation estimates for the Coulomb gas | Communications on Pure and Applied Mathematics |
| 2023 | |
| Local law and rigidity for unitary Brownian motion | Probability Theory and Related Fields |
| 2 | 2023 |
| Sums of GUE matrices and concentration of hives from correlation decay of eigengaps | Probability Theory and Related Fields |
| 2023 |
Citations Analysis
The category
Science: Mathematics 86
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Gaussian Fluctuations of Eigenvalues in Wigner Random Matrices and was published in 2009. The most recent citation comes from a 2024 study titled Nodal Decompositions of a Symmetric Matrix. This article reached its peak citation in 2012, with 14 citations. It has been cited in 39 different journals, 2% of which are open access. Among related journals, the Probability Theory and Related Fields cited this research the most, with 12 citations. The chart below illustrates the annual citation trends for this article.