Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mathematics of the USSR-Sbornik, 1967, Volume 1, Issue 4, Pages 457–483
DOI: https://doi.org/10.1070/SM1967v001n04ABEH001994
(Mi sm4101)
 

This article is cited in 1372 scientific papers (total in 1372 papers)

Distribution of eigenvalues for some sets of random matrices

V. A. Marchenko, L. A. Pastur
Received: 04.11.1966
Bibliographic databases:
UDC: 519.21
Language: English
Original paper language: Russian
Citation: V. A. Marchenko, L. A. Pastur, “Distribution of eigenvalues for some sets of random matrices”, Math. USSR-Sb., 1:4 (1967), 457–483
Citation in format AMSBIB
\Bibitem{MarPas67}
\by V.~A.~Marchenko, L.~A.~Pastur
\paper Distribution of eigenvalues for some sets of random matrices
\jour Math. USSR-Sb.
\yr 1967
\vol 1
\issue 4
\pages 457--483
\mathnet{http://mi.mathnet.ru/eng/sm4101}
\crossref{https://doi.org/10.1070/SM1967v001n04ABEH001994}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=208649}
\zmath{https://zbmath.org/?q=an:0162.22501|0152.16101}
Linking options:
  • https://www.mathnet.ru/eng/sm4101
  • https://doi.org/10.1070/SM1967v001n04ABEH001994
  • https://www.mathnet.ru/eng/sm/v114/i4/p507
  • This publication is cited in the following 1372 articles:
    1. Pei-Chun Su, Hau-Tieng Wu, “Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application”, Applied and Computational Harmonic Analysis, 74 (2025), 101698  crossref
    2. Sivan Leviyang, “Analysis of a Single Cell RNA-seq Workflow by Random Matrix Theory Methods”, Bull Math Biol, 87:1 (2025)  crossref
    3. Masato Hisakado, Takuya Kaneko, “Deformation of Marchenko–Pastur Distribution for the Correlated Time Series”, J. Phys. Soc. Jpn., 94:1 (2025)  crossref
    4. Tiffany Eulalio, Min Woo Sun, Olivier Gevaert, Michael D. Greicius, Thomas J. Montine, Daniel Nachun, Stephen B. Montgomery, “regionalpcs improve discovery of DNA methylation associations with complex traits”, Nat Commun, 16:1 (2025)  crossref
    5. Shizhe Hong, Weiming Li, Qiang Liu, Yangchun Zhang, “An adaptive adjustment to the R2 statistic in high-dimensional elliptical models”, Journal of the American Statistical Association, 2025, 1  crossref
    6. João Gonçalves, M. Teresa Nogueira, Daniel Dinis, João Guerreiro, Rui Dinis, “On the Optimum Detection of MIMO-SVD Signals With Strong Nonlinear Distortion Effects at the Transmitter”, IEEE Access, 13 (2025), 3230  crossref
    7. Chia-Hsuan Tsai, Ming-Tien Tsai, “Consistent Estimators of the Population Covariance Matrix and Its Reparameterizations”, Mathematics, 13:2 (2025), 191  crossref
    8. F. Trainotti, S. W. B. Klaassen, T. Bregar, D. J. Rixen, “PRANK: A Singular Value Based Noise Filtering of Multiple Response Datasets for Experimental Dynamics”, Exp Tech, 2025  crossref
    9. Boris Landa, Yuval Kluger, “The Dyson equalizer: adaptive noise stabilization for low-rank signal detection and recovery”, Information and Inference: A Journal of the IMA, 14:1 (2025)  crossref
    10. Zhuohang He, Junjie Ma, Xiaojun Yuan, “Improved Turbo Message Passing for Compressive Robust Principal Component Analysis: Algorithm Design and Asymptotic Analysis”, IEEE Trans. Inform. Theory, 71:2 (2025), 1323  crossref
    11. Leonardo S. Ferreira, Fernando L. Metz, Paolo Barucca, “Random matrix ensemble for the covariance matrix of Ornstein-Uhlenbeck processes with heterogeneous temperatures”, Phys. Rev. E, 111:1 (2025)  crossref
    12. Chengdong Li, Peng Miao, “Single-frame statistical gating in a speckle pattern generated by the dynamic scattering in disordered medium”, Applied Physics Letters, 126:4 (2025)  crossref
    13. John Lipor, John Gebbie, Martin Siderius, “Understanding and mitigating the impact of passing ships on underwater environmental estimation from ambient sound”, The Journal of the Acoustical Society of America, 157:2 (2025), 811  crossref
    14. Zhaorui Dong, Jianfeng Yao, “Necessary and sufficient conditions for the Marcĕnko-Pastur law for sample correlation matrices”, Statistics & Probability Letters, 2025, 110377  crossref
    15. Zhigang Bao, Xiaocong Xu, “Extreme eigenvalues of log-concave ensemble”, Ann. Inst. H. Poincaré Probab. Statist., 61:1 (2025)  crossref
    16. Michail Louvaris, “Universality of the least singular value and singular vector delocalisation for Lévy non-symmetric random matrices”, Ann. Inst. H. Poincaré Probab. Statist., 61:1 (2025)  crossref
    17. Elizabeth Collins-Woodfin, Han Gia Le, “An edge CLT for the log determinant of Laguerre beta ensembles”, Ann. Inst. H. Poincaré Probab. Statist., 61:1 (2025)  crossref
    18. K. J. Dzahini, S. M. Wild, “A Class of Sparse Johnson–Lindenstrauss Transforms and Analysis of their Extreme Singular Values”, SIAM J. Matrix Anal. Appl., 46:1 (2025), 416  crossref
    19. Stefano Antonini, Vijay Balasubramanian, Ning Bao, ChunJun Cao, Wissam Chemissany, “Non-isometry, state dependence and holography”, J. High Energ. Phys., 2025:2 (2025)  crossref
    20. Sunidhi Sen, Himanshu Shekhar, Santosh Kumar, “Spectral statistics of interpolating random circulant matrix and its applications to random circulant graphs”, Phys. Rev. E, 111:3 (2025)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:15117
    Russian version PDF:4846
    English version PDF:914
    First page:1
     
      Contact us:
    math-net2025_03@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025