The four moment theorem asserts, roughly speaking, that the joint distribution of a small number of eigenvalues of a Wigner random matrix (when measured at the scale of the mean eigenvalue spacing) depends only on the first four moments of the entries of the matrix. In this paper, we extend the four moment theorem to…
Random Matrices Theory and Application Template
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About the Random Matrices Theory and Application format
Random Matrices Theory and Application is a peer-reviewed journal published by World Scientific, covering Random Matrices and Applications, Advanced Algebra and Geometry, Advanced Combinatorial Mathematics.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Random Matrices Theory and Application 12, 45–58 (2023).
Formats any DOI in the closest standard style — Random Matrices Theory and Application has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Random Matrices and Applications Advanced Algebra and Geometry Advanced Combinatorial Mathematics Stochastic processes and statistical mechanics Spectral Theory in Mathematical Physics |
| ISSN | 2010-3263 |
| Citation impact (2-yr) | 1.12 |
| h-index | 27 |
| i10-index | 83 |
| Total citations | 2,472 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.worldscientific.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Random Matrices Theory and Application per year
Citation impact of Random Matrices Theory and Application by publication year
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Most-cited papers in Random Matrices Theory and Application
We consider n × n matrices whose (i, j)th entry is [Formula: see text], where X 1 , …, X n are i.i.d. standard Gaussian in ℝ p , and f is a real-valued function. The weak limit of the eigenvalue distribution of these random matrices is studied at the limit when p, n →…
Motivated by the asymptotic collective behavior of random and deterministic matrices, we propose an approximation (called "free deterministic equivalent") to quite general random matrix models, by replacing the matrices with operators satisfying certain freeness relations. We comment on the relation between our free deterministic equivalent and deterministic equivalents considered in the engineering literature. We do…
Brownian motion is a continuum scaling limit for a wide class of random processes, and there has been great success in developing a theory for its properties (such as distribution functions or regularity) and expanding the breadth of its universality class. Over the past 25 years a new universality class has emerged to describe a…
The paper proposes new estimators of spiked eigenvalues of the population covariance matrix from the sample covariance matrix and investigates its consistency and asymptotic normality.