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Funktsional. Anal. i Prilozhen., 1998, Volume 32, Issue 2, Pages 56–79 (Mi faa411)  

This article is cited in 51 scientific papers (total in 51 papers)

A Refinement of Wigner's Semicircle Law in a Neighborhood of the Spectrum Edge for Random Symmetric Matrices

Ya. G. Sinaia, A. B. Soshnikovb

a Princeton University, Department of Mathematics
b Institute for Advanced Study, School of Mathematics


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English version:
Functional Analysis and Its Applications, 1998, 32:2, 114–131

Bibliographic databases:

UDC: 519.2
Received: 05.09.1997

Citation: Ya. G. Sinai, A. B. Soshnikov, “A Refinement of Wigner's Semicircle Law in a Neighborhood of the Spectrum Edge for Random Symmetric Matrices”, Funktsional. Anal. i Prilozhen., 32:2 (1998), 56–79; Funct. Anal. Appl., 32:2 (1998), 114–131

Citation in format AMSBIB
\by Ya.~G.~Sinai, A.~B.~Soshnikov
\paper A Refinement of Wigner's Semicircle Law in a Neighborhood of the Spectrum Edge for Random Symmetric Matrices
\jour Funktsional. Anal. i Prilozhen.
\yr 1998
\vol 32
\issue 2
\pages 56--79
\jour Funct. Anal. Appl.
\yr 1998
\vol 32
\issue 2
\pages 114--131

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    This publication is cited in the following articles:
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    2. Peche S., Soshnikov A., “On the lower bound of the spectral norm of symmetric random matrices with independent entries”  mathscinet  isi
    3. Soshnikov, A, “Universality at the edge of the spectrum in Wigner random matrices”, Communications in Mathematical Physics, 207:3 (1999), 697  crossref  mathscinet  zmath  adsnasa  isi  scopus
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    5. Okounkov, A, “Random matrices and random permutations”, International Mathematics Research Notices, 2000, no. 20, 1043  crossref  mathscinet  zmath  isi
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    7. Khorunzhy, A, “Sparse random matrices: Spectral edge and statistics of rooted trees”, Advances in Applied Probability, 33:1 (2001), 124  crossref  mathscinet  zmath  isi  scopus
    8. Johansson, K, “Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices”, Communications in Mathematical Physics, 215:3 (2001), 683  crossref  mathscinet  zmath  adsnasa  isi  scopus
    9. Soshnikov, A, “A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices”, Journal of Statistical Physics, 108:5–6 (2002), 1033  crossref  mathscinet  zmath  isi  scopus
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    15. Ruzmaikina, A, “Universality of the edge distribution of eigenvalues of Wigner random matrices with polynomially decaying distributions of entries”, Communications in Mathematical Physics, 261:2 (2006), 277  crossref  mathscinet  zmath  adsnasa  isi  scopus
    16. Peche, S, “Wigner random matrices with non-symmetrically distributed entries”, Journal of Statistical Physics, 129:5–6 (2007), 857  crossref  mathscinet  zmath  adsnasa  isi  scopus
    17. Feral, D, “The largest eigenvalue of rank one deformation of large Wigner matrices”, Communications in Mathematical Physics, 272:1 (2007), 185  crossref  mathscinet  zmath  adsnasa  isi  scopus
    18. Volchenkov, D, “Markov chain methods for analyzing urban networks”, Journal of Statistical Physics, 132:6 (2008), 1051  crossref  mathscinet  zmath  adsnasa  isi  scopus
    19. Lytova, A, “CENTRAL LIMIT THEOREM FOR LINEAR EIGENVALUE STATISTICS OF RANDOM MATRICES WITH INDEPENDENT ENTRIES”, Annals of Probability, 37:5 (2009), 1778  crossref  mathscinet  zmath  isi  scopus
    20. Khorunzhiy, O, “UNIFORM BOUNDS FOR EXPONENTIAL MOMENT OF MAXIMUM OF A DYCK PATH”, Electronic Communications in Probability, 14 (2009), 327  crossref  mathscinet  zmath  isi  scopus
    21. Feral, D, “The largest eigenvalues of sample covariance matrices for a spiked population: Diagonal case”, Journal of Mathematical Physics, 50:7 (2009), 073302  crossref  mathscinet  zmath  adsnasa  isi  scopus
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    23. Chatterjee, S, “Fluctuations of eigenvalues and second order Poincaré inequalities”, Probability Theory and Related Fields, 143:1–2 (2009), 1  crossref  mathscinet  zmath  isi  scopus
    24. Blanchard Ph., Dawin J.R., Volchenkov D., “Markov chains or the game of structure and chance”, The European Physical Journal Special Topics, 184:1 (2010), 1–82  crossref  adsnasa  isi  elib  scopus
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    26. Erdos L., “Universality of Wigner Random Matrices”, Xvith International Congress on Mathematical Physics, 2010, 86–105  crossref  mathscinet  zmath  isi  scopus
    27. L. Erdős, “Universality of Wigner random matrices: a survey of recent results”, Russian Math. Surveys, 66:3 (2011), 507–626  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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    30. Feray V., Sniady P., “Asymptotics of characters of symmetric groups related to Stanley character formula”, Ann of Math (2), 173:2 (2011), 887–906  crossref  mathscinet  zmath  isi  scopus
    31. Erdos L., Schlein B., Yau H.-T., Yin J., “The local relaxation flow approach to universality of the local statistics for random matrices”, Ann Inst Henri Poincaré Probab Stat, 48:1 (2012), 1–46  crossref  mathscinet  zmath  adsnasa  isi  scopus
    32. Erdos L., Yau H.-T., Yin J., “Rigidity of eigenvalues of generalized Wigner matrices”, Adv Math, 229:3 (2012), 1435–1515  crossref  mathscinet  zmath  isi  scopus
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    37. Sosoe Ph., Wong P., “Regularity Conditions in the Clt for Linear Eigenvalue Statistics of Wigner Matrices”, Adv. Math., 249 (2013), 37–87  crossref  mathscinet  zmath  isi  scopus
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    41. Benaych-Georges F., Peche S., “Localization and Delocalization For Heavy Tailed Band Matrices”, Ann. Inst. Henri Poincare-Probab. Stat., 50:4 (2014), 1385–1403  crossref  mathscinet  zmath  isi  scopus
    42. Lee J.O., Schnelli K., “Edge Universality For Deformed Wigner Matrices”, Rev. Math. Phys., 27:8 (2015), 1550018  crossref  mathscinet  zmath  isi  elib  scopus
    43. Zhang L., Wahba G., Yuan M., “Distance shrinkage and Euclidean embedding via regularized kernel estimation”, J. R. Stat. Soc. Ser. B-Stat. Methodol., 78:4 (2016), 849–867  crossref  mathscinet  isi  elib  scopus
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  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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