On the asymptotic distribution of block-modified random matrices
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2015/12/10
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Journal
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Indian UGC (journal)
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Refrences31
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Citations8
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Octavio Arizmendi CIMAT 1 Department of Probability and Statistics, , Guanajuato, Mexico
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Ion Nechita M5, Technische Universität München 2 Zentrum Mathematik, , Boltzmannstrasse 3, 85748 Garching, Germany and CNRS, Laboratoire de Physique Théorique, IRSAMC, , F-31062 Toulouse, FranceUniversité de Toulouse, UPS 2 Zentrum Mathematik, , Boltzmannstrasse 3, 85748 Garching, Germany and CNRS, Laboratoire de Physique Théorique, IRSAMC, , F-31062 Toulouse, France
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Carlos Vargas Technische Universität Graz 3 Department of Mathematical Structure Theory, , Steyrergasse 30/III, 8010 Graz, Austria
Abstract
Cite
Arizmendi, Octavio, et al. “On the Asymptotic Distribution of Block-Modified Random Matrices”. Journal of Mathematical Physics, vol. 57, no. 1, 2015, https://doi.org/10.1063/1.4936925.
Arizmendi, O., Nechita, I., & Vargas, C. (2015). On the asymptotic distribution of block-modified random matrices. Journal of Mathematical Physics, 57(1). https://doi.org/10.1063/1.4936925
Arizmendi O, Nechita I, Vargas C. On the asymptotic distribution of block-modified random matrices. Journal of Mathematical Physics. 2015;57(1).
Journal Categories
Science
Mathematics
Science
Physics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Operator-Valued Free Multiplicative Convolution: Analytic Subordination Theory and Applications to Random Matrix Theory | International Mathematics Research Notices |
| 9 | 2014 |
On the reduction criterion for random quantum states | Journal of Mathematical Physics |
| 5 | 2014 |
Partial transpose of random quantum states: Exact formulas and meanders | Journal of Mathematical Physics |
| 11 | 2013 |
| Infinitely divisible distributions for rectangular free convolution: classification and matricial interpretation | Probability Theory and Related Fields |
| 10 | 2007 |
| On the S-transform over a Banach algebra | Journal of Functional Analysis |
| 10 | 2006 |
Refrences Analysis
The category
Science: Mathematics 12
is the most frequently represented among the references in this article. It primarily includes studies from Probability Theory and Related Fields and Journal of Mathematical 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 |
|---|---|---|---|---|
Asymptotic free independence and entry permutations for Gaussian random matrices | Proceedings of the American Mathematical Society |
| 2022 | |
| The partial transpose and asymptotic free independence for Wishart random matrices, II | Pacific Journal of Mathematics |
| 2022 | |
| Random matrices with log-range correlations, and log-Sobolev inequalities | Annales mathématiques Blaise Pascal |
| 1 | 2021 |
| Subordination methods for free deconvolution | Annales de l'Institut Henri Poincaré, Probabilités et Statistiques |
| 2020 | |
Freeness and The Partial Transposes of Wishart Random Matrices | Canadian Journal of Mathematics |
| 2 | 2019 |
Citations Analysis
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Random matrix techniques in quantum information theory and was published in 2015. The most recent citation comes from a 2022 study titled The partial transpose and asymptotic free independence for Wishart random matrices, II. This article reached its peak citation in 2022, with 2 citations. It has been cited in 8 different journals, 25% of which are open access. Among related journals, the Pacific Journal of Mathematics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.