Baik, Jinho; Bothner, Thomas Edge distribution of thinned real eigenvalues in the real Ginibre ensemble. (English) Zbl 1498.60025 Ann. Henri Poincaré 23, No. 11, 4003-4056 (2022). MSC: 60B20 45M05 60G70 15B52 PDF BibTeX XML Cite \textit{J. Baik} and \textit{T. Bothner}, Ann. Henri Poincaré 23, No. 11, 4003--4056 (2022; Zbl 1498.60025) Full Text: DOI arXiv OpenURL
Huang, Jiaoyang Eigenvalues for the minors of Wigner matrices. (English. French summary) Zbl 1498.60034 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 4, 2201-2215 (2022). MSC: 60B20 60G55 PDF BibTeX XML Cite \textit{J. Huang}, Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 4, 2201--2215 (2022; Zbl 1498.60034) Full Text: DOI arXiv Link OpenURL
Schnelli, Kevin; Xu, Yuanyuan Convergence rate to the Tracy-Widom laws for the largest eigenvalue of Wigner matrices. (English) Zbl 07549410 Commun. Math. Phys. 393, No. 2, 839-907 (2022). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 60B20 PDF BibTeX XML Cite \textit{K. Schnelli} and \textit{Y. Xu}, Commun. Math. Phys. 393, No. 2, 839--907 (2022; Zbl 07549410) Full Text: DOI arXiv OpenURL
Ahn, Andrew Fluctuations of \(\beta\)-Jacobi product processes. (English) Zbl 1489.60124 Probab. Theory Relat. Fields 183, No. 1-2, 57-123 (2022). MSC: 60J10 60B20 33D52 PDF BibTeX XML Cite \textit{A. Ahn}, Probab. Theory Relat. Fields 183, No. 1--2, 57--123 (2022; Zbl 1489.60124) Full Text: DOI arXiv OpenURL
Bourgade, Paul Extreme gaps between eigenvalues of Wigner matrices. (English) Zbl 1492.60014 J. Eur. Math. Soc. (JEMS) 24, No. 8, 2823-2873 (2022). Reviewer: Michał Strzelecki (Warszawa) MSC: 60B20 PDF BibTeX XML Cite \textit{P. Bourgade}, J. Eur. Math. Soc. (JEMS) 24, No. 8, 2823--2873 (2022; Zbl 1492.60014) Full Text: DOI arXiv OpenURL
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun On the deformed Pearcey determinant. (English) Zbl 07507742 Adv. Math. 400, Article ID 108291, 64 p. (2022). MSC: 33C15 34E05 60B20 60K35 PDF BibTeX XML Cite \textit{D. Dai} et al., Adv. Math. 400, Article ID 108291, 64 p. (2022; Zbl 07507742) Full Text: DOI arXiv OpenURL
Athreya, Avanti; Cape, Joshua; Tang, Minh Eigenvalues of stochastic blockmodel graphs and random graphs with low-rank edge probability matrices. (English) Zbl 1490.62139 Sankhyā, Ser. A 84, No. 1, 36-63 (2022). MSC: 62H22 62H12 05C50 62F12 PDF BibTeX XML Cite \textit{A. Athreya} et al., Sankhyā, Ser. A 84, No. 1, 36--63 (2022; Zbl 1490.62139) Full Text: DOI OpenURL
Corwin, Ivan Z.; Deift, Percy A.; Its, Alexander R. Harold Widom’s work in random matrix theory. (English) Zbl 1486.60011 Bull. Am. Math. Soc., New Ser. 59, No. 2, 155-173 (2022). Reviewer: Olivier Marchal (Saint-Etienne) MSC: 60B20 34M55 82C22 PDF BibTeX XML Cite \textit{I. Z. Corwin} et al., Bull. Am. Math. Soc., New Ser. 59, No. 2, 155--173 (2022; Zbl 1486.60011) Full Text: DOI arXiv OpenURL
Dionigi, Pierfrancesco; Garlaschelli, Diego; Den Hollander, Frank; Mandjes, Michel A spectral signature of breaking of ensemble equivalence for constrained random graphs. (English) Zbl 1483.05155 Electron. Commun. Probab. 26, Paper No. 67, 15 p. (2021). MSC: 05C80 05C50 60C05 PDF BibTeX XML Cite \textit{P. Dionigi} et al., Electron. Commun. Probab. 26, Paper No. 67, 15 p. (2021; Zbl 1483.05155) Full Text: DOI arXiv OpenURL
Basrak, Bojan; Cho, Yeonok; Heiny, Johannes; Jung, Paul Extreme eigenvalue statistics of \(m\)-dependent heavy-tailed matrices. (English) Zbl 1491.60008 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2100-2127 (2021). Reviewer: Dmitry Zaporozhets (Sankt-Peterburg) MSC: 60B20 60G10 60G55 60G70 PDF BibTeX XML Cite \textit{B. Basrak} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2100--2127 (2021; Zbl 1491.60008) Full Text: DOI arXiv OpenURL
Collins-Woodfin, Elizabeth Overlaps of a spherical spin glass model with microscopic external field. (English) Zbl 1489.82043 Electron. J. Probab. 26, Paper No. 146, 22 p. (2021). MSC: 82B44 82D30 15B52 60B20 PDF BibTeX XML Cite \textit{E. Collins-Woodfin}, Electron. J. Probab. 26, Paper No. 146, 22 p. (2021; Zbl 1489.82043) Full Text: DOI arXiv OpenURL
Izenman, Alan Julian Random matrix theory and its applications. (English) Zbl 07473926 Stat. Sci. 36, No. 3, 421-442 (2021). MSC: 62-XX PDF BibTeX XML Cite \textit{A. J. Izenman}, Stat. Sci. 36, No. 3, 421--442 (2021; Zbl 07473926) Full Text: DOI OpenURL
Osada, Hirofumi Stochastic geometry and dynamics of infinitely many particle systems – random matrices and interacting Brownian motions in infinite dimensions. (English. Japanese original) Zbl 1480.60010 Sugaku Expo. 34, No. 2, 141-173 (2021); translation from Sūgaku 69, No. 3, 225-254 (2017). MSC: 60B20 60K35 60J65 60H10 82C22 60J60 15B52 15A18 PDF BibTeX XML Cite \textit{H. Osada}, Sugaku Expo. 34, No. 2, 141--173 (2021; Zbl 1480.60010); translation from Sūgaku 69, No. 3, 225--254 (2017) Full Text: DOI OpenURL
He, Yukun; Knowles, Antti Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs. (English) Zbl 1468.05155 Probab. Theory Relat. Fields 180, No. 3-4, 985-1056 (2021). MSC: 05C50 05C35 05C80 60B20 15B52 PDF BibTeX XML Cite \textit{Y. He} and \textit{A. Knowles}, Probab. Theory Relat. Fields 180, No. 3--4, 985--1056 (2021; Zbl 1468.05155) Full Text: DOI arXiv OpenURL
Baik, Jinho; Collins-Woodfin, Elizabeth; Le Doussal, Pierre; Wu, Hao Spherical spin glass model with external field. (English) Zbl 1469.82035 J. Stat. Phys. 183, No. 2, Paper No. 31, 79 p. (2021). MSC: 82D30 15B52 60B20 PDF BibTeX XML Cite \textit{J. Baik} et al., J. Stat. Phys. 183, No. 2, Paper No. 31, 79 p. (2021; Zbl 1469.82035) Full Text: DOI arXiv OpenURL
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik Edge universality for non-Hermitian random matrices. (English) Zbl 1461.60008 Probab. Theory Relat. Fields 179, No. 1-2, 1-28 (2021). Reviewer: Weiping Li (Stillwater) MSC: 60B20 15B52 PDF BibTeX XML Cite \textit{G. Cipolloni} et al., Probab. Theory Relat. Fields 179, No. 1--2, 1--28 (2021; Zbl 1461.60008) Full Text: DOI arXiv OpenURL
Capitaine, Mireille; Donati-Martin, Catherine Non universality of fluctuations of outlier eigenvectors for block diagonal deformations of Wigner matrices. (English) Zbl 1456.15033 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 129-165 (2021). MSC: 15B52 15A18 60B20 PDF BibTeX XML Cite \textit{M. Capitaine} and \textit{C. Donati-Martin}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 129--165 (2021; Zbl 1456.15033) Full Text: arXiv Link OpenURL
Jiang, Dandan; Bai, Zhidong Generalized four moment theorem and an application to CLT for spiked eigenvalues of high-dimensional covariance matrices. (English) Zbl 1475.60014 Bernoulli 27, No. 1, 274-294 (2021). MSC: 60B20 60F05 PDF BibTeX XML Cite \textit{D. Jiang} and \textit{Z. Bai}, Bernoulli 27, No. 1, 274--294 (2021; Zbl 1475.60014) Full Text: DOI arXiv Euclid OpenURL
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik Optimal lower bound on the least singular value of the shifted Ginibre ensemble. (English) Zbl 1485.15041 Probab. Math. Phys. 1, No. 1, 101-146 (2020). MSC: 15B52 15A12 60B20 65F35 PDF BibTeX XML Cite \textit{G. Cipolloni} et al., Probab. Math. Phys. 1, No. 1, 101--146 (2020; Zbl 1485.15041) Full Text: DOI arXiv OpenURL
Seo, Seong-Mi Edge scaling limit of the spectral radius for random normal matrix ensembles at hard edge. (English) Zbl 1460.60007 J. Stat. Phys. 181, No. 5, 1473-1489 (2020). MSC: 60B20 60G55 82B21 PDF BibTeX XML Cite \textit{S.-M. Seo}, J. Stat. Phys. 181, No. 5, 1473--1489 (2020; Zbl 1460.60007) Full Text: DOI arXiv OpenURL
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer Edge rigidity and universality of random regular graphs of intermediate degree. (English) Zbl 1453.05117 Geom. Funct. Anal. 30, No. 3, 693-769 (2020). MSC: 05C80 05C50 15B52 60B20 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Geom. Funct. Anal. 30, No. 3, 693--769 (2020; Zbl 1453.05117) Full Text: DOI arXiv OpenURL
Claeys, Tom; Neuschel, Thorsten; Venker, Martin Critical behavior of non-intersecting Brownian motions. (English) Zbl 1446.82062 Commun. Math. Phys. 378, No. 2, 1501-1537 (2020). MSC: 82C27 82C31 60J65 15A18 42B10 PDF BibTeX XML Cite \textit{T. Claeys} et al., Commun. Math. Phys. 378, No. 2, 1501--1537 (2020; Zbl 1446.82062) Full Text: DOI arXiv OpenURL
Erdős, László; Krüger, Torben; Schröder, Dominik Cusp universality for random matrices. I: Local law and the complex Hermitian case. (English) Zbl 1475.60013 Commun. Math. Phys. 378, No. 2, 1203-1278 (2020). MSC: 60B20 15B52 PDF BibTeX XML Cite \textit{L. Erdős} et al., Commun. Math. Phys. 378, No. 2, 1203--1278 (2020; Zbl 1475.60013) Full Text: DOI arXiv OpenURL
Alt, Johannes; Erdős, László; Krüger, Torben; Schröder, Dominik Correlated random matrices: band rigidity and edge universality. (English) Zbl 1434.60017 Ann. Probab. 48, No. 2, 963-1001 (2020). MSC: 60B20 15B52 15A18 PDF BibTeX XML Cite \textit{J. Alt} et al., Ann. Probab. 48, No. 2, 963--1001 (2020; Zbl 1434.60017) Full Text: DOI arXiv Euclid OpenURL
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs. (English) Zbl 1440.05181 Ann. Probab. 48, No. 2, 916-962 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 05C80 05C50 05C35 05C42 60B20 15B52 PDF BibTeX XML Cite \textit{J. Huang} et al., Ann. Probab. 48, No. 2, 916--962 (2020; Zbl 1440.05181) Full Text: DOI arXiv Euclid OpenURL
Charlier, Christophe; Claeys, Tom Large gap asymptotics for Airy kernel determinants with discontinuities. (English) Zbl 1475.37014 Commun. Math. Phys. 375, No. 2, 1299-1339 (2020). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 37A50 15B52 15A15 60B20 60G55 34M50 PDF BibTeX XML Cite \textit{C. Charlier} and \textit{T. Claeys}, Commun. Math. Phys. 375, No. 2, 1299--1339 (2020; Zbl 1475.37014) Full Text: DOI arXiv OpenURL
Augeri, Fanny On the large deviations of traces of random matrices. (English. French summary) Zbl 1417.60005 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2239-2285 (2018). MSC: 60B20 60F10 PDF BibTeX XML Cite \textit{F. Augeri}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2239--2285 (2018; Zbl 1417.60005) Full Text: DOI arXiv Euclid OpenURL
Gorin, Vadim; Shkolnikov, Mykhaylo Stochastic Airy semigroup through tridiagonal matrices. (English) Zbl 1430.60011 Ann. Probab. 46, No. 4, 2287-2344 (2018). MSC: 60B20 15B52 60H25 47D08 60J55 PDF BibTeX XML Cite \textit{V. Gorin} and \textit{M. Shkolnikov}, Ann. Probab. 46, No. 4, 2287--2344 (2018; Zbl 1430.60011) Full Text: DOI arXiv Euclid OpenURL
Lee, Ji Oon; Schnelli, Kevin Local law and Tracy-Widom limit for sparse random matrices. (English) Zbl 1429.60012 Probab. Theory Relat. Fields 171, No. 1-2, 543-616 (2018). MSC: 60B20 62H10 PDF BibTeX XML Cite \textit{J. O. Lee} and \textit{K. Schnelli}, Probab. Theory Relat. Fields 171, No. 1--2, 543--616 (2018; Zbl 1429.60012) Full Text: DOI arXiv OpenURL
Yin, Yanqing Gaussian fluctuations for linear spectral statistics of Wigner beta ensembles. (English) Zbl 1398.60015 J. Math. Anal. Appl. 463, No. 2, 934-963 (2018). MSC: 60B20 15B52 PDF BibTeX XML Cite \textit{Y. Yin}, J. Math. Anal. Appl. 463, No. 2, 934--963 (2018; Zbl 1398.60015) Full Text: DOI arXiv OpenURL
Collins, Benoît; Matsumoto, Sho Weingarten calculus via orthogonality relations: new applications. (English) Zbl 1375.60018 ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 1, 631-656 (2017). MSC: 60B20 15B52 05A05 PDF BibTeX XML Cite \textit{B. Collins} and \textit{S. Matsumoto}, ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 1, 631--656 (2017; Zbl 1375.60018) Full Text: arXiv Link OpenURL
Baik, Jinho; Lee, Ji Oon Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model with ferromagnetic interaction. (English) Zbl 1376.82103 Ann. Henri Poincaré 18, No. 6, 1867-1917 (2017); correction ibid. 18, No. 11, 3757-3758 (2017). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82D30 82B30 82B44 PDF BibTeX XML Cite \textit{J. Baik} and \textit{J. O. Lee}, Ann. Henri Poincaré 18, No. 6, 1867--1917 (2017; Zbl 1376.82103) Full Text: DOI arXiv OpenURL
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017). Reviewer: Jonathan Eckhardt (Wien) MSC: 37K15 15B52 34M55 35Q53 60F05 60K35 62H25 82B44 35Q15 PDF BibTeX XML Cite \textit{P. Deift}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017; Zbl 1375.37160) Full Text: DOI arXiv OpenURL
Bourgade, P.; Yau, H.-T. The eigenvector moment flow and local quantum unique ergodicity. (English) Zbl 1379.58014 Commun. Math. Phys. 350, No. 1, 231-278 (2017). MSC: 58J51 15B52 15A18 60G50 PDF BibTeX XML Cite \textit{P. Bourgade} and \textit{H. T. Yau}, Commun. Math. Phys. 350, No. 1, 231--278 (2017; Zbl 1379.58014) Full Text: DOI arXiv OpenURL
Khorunzhiy, Oleskiy On high moments of strongly diluted large Wigner random matrices. (English) Zbl 1371.15038 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLVIII. Cham: Springer (ISBN 978-3-319-44464-2/pbk; 978-3-319-44465-9/ebook). Lecture Notes in Mathematics 2168. Séminaire de Probabilités, 347-399 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{O. Khorunzhiy}, Lect. Notes Math. 2168, 347--399 (2016; Zbl 1371.15038) Full Text: DOI arXiv OpenURL
Baik, Jinho; Lee, Ji Oon Fluctuations of the free energy of the spherical Sherrington-Kirkpatrick model. (English) Zbl 1359.82011 J. Stat. Phys. 165, No. 2, 185-224 (2016). MSC: 82B44 82B27 82D30 PDF BibTeX XML Cite \textit{J. Baik} and \textit{J. O. Lee}, J. Stat. Phys. 165, No. 2, 185--224 (2016; Zbl 1359.82011) Full Text: DOI arXiv OpenURL
Jeong, In-Jee; Sodin, Sasha A limit theorem for stochastically decaying partitions at the edge. (English) Zbl 1354.60012 Random Matrices Theory Appl. 5, No. 4, Article ID 1650016, 36 p. (2016). MSC: 60C05 60B20 60G55 05A17 05E10 60J27 15B52 PDF BibTeX XML Cite \textit{I.-J. Jeong} and \textit{S. Sodin}, Random Matrices Theory Appl. 5, No. 4, Article ID 1650016, 36 p. (2016; Zbl 1354.60012) Full Text: DOI arXiv OpenURL
Auffinger, Antonio; Tang, Si Extreme eigenvalues of sparse, heavy tailed random matrices. (English) Zbl 1350.60047 Stochastic Processes Appl. 126, No. 11, 3310-3330 (2016). MSC: 60G70 60B20 60F05 15B52 PDF BibTeX XML Cite \textit{A. Auffinger} and \textit{S. Tang}, Stochastic Processes Appl. 126, No. 11, 3310--3330 (2016; Zbl 1350.60047) Full Text: DOI arXiv OpenURL
Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer Bulk universality for deformed Wigner matrices. (English) Zbl 1346.15037 Ann. Probab. 44, No. 3, 2349-2425 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 82B44 60F99 15A18 PDF BibTeX XML Cite \textit{J. O. Lee} et al., Ann. Probab. 44, No. 3, 2349--2425 (2016; Zbl 1346.15037) Full Text: DOI arXiv Euclid OpenURL
Lee, Ji Oon; Schnelli, Kevin Extremal eigenvalues and eigenvectors of deformed Wigner matrices. (English) Zbl 1338.15071 Probab. Theory Relat. Fields 164, No. 1-2, 165-241 (2016). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 60B20 82B44 15A18 60F99 PDF BibTeX XML Cite \textit{J. O. Lee} and \textit{K. Schnelli}, Probab. Theory Relat. Fields 164, No. 1--2, 165--241 (2016; Zbl 1338.15071) Full Text: DOI OpenURL
Schlein, Benjamin Spectral properties of Wigner matrices. (English) Zbl 1338.15072 Gayrard, Véronique (ed.) et al., Correlated random systems: five different methods. CIRM Jean-Morlet Chair, Marseille, France, spring 2013. Cham: Springer (ISBN 978-3-319-17673-4/pbk; 978-3-319-17674-1/ebook). Lecture Notes in Mathematics 2143, 179-205 (2015). MSC: 15B52 15A18 15-01 PDF BibTeX XML Cite \textit{B. Schlein}, Lect. Notes Math. 2143, 179--205 (2015; Zbl 1338.15072) Full Text: DOI arXiv OpenURL
Lee, Ji Oon; Schnelli, Kevin Edge universality for deformed Wigner matrices. (English) Zbl 1328.15051 Rev. Math. Phys. 27, No. 8, Article ID 1550018, 94 p. (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 82B44 15A18 PDF BibTeX XML Cite \textit{J. O. Lee} and \textit{K. Schnelli}, Rev. Math. Phys. 27, No. 8, Article ID 1550018, 94 p. (2015; Zbl 1328.15051) Full Text: DOI arXiv OpenURL
Cacciapuoti, Claudio; Maltsev, Anna; Schlein, Benjamin Bounds for the Stieltjes transform and the density of states of Wigner matrices. (English) Zbl 1330.60014 Probab. Theory Relat. Fields 163, No. 1-2, 1-59 (2015). MSC: 60B20 60B12 47B80 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., Probab. Theory Relat. Fields 163, No. 1--2, 1--59 (2015; Zbl 1330.60014) Full Text: DOI arXiv OpenURL
Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol Numerical range for random matrices. (English) Zbl 1307.15055 J. Math. Anal. Appl. 418, No. 1, 516-533 (2014). MSC: 15B52 15A60 60B20 15A18 PDF BibTeX XML Cite \textit{B. Collins} et al., J. Math. Anal. Appl. 418, No. 1, 516--533 (2014; Zbl 1307.15055) Full Text: DOI arXiv OpenURL
Benaych-Georges, Florent; Péché, Sandrine Localization and delocalization for heavy tailed band matrices. (English. French summary) Zbl 1307.15054 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1385-1403 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B52 60F05 60B20 15A18 PDF BibTeX XML Cite \textit{F. Benaych-Georges} and \textit{S. Péché}, Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1385--1403 (2014; Zbl 1307.15054) Full Text: DOI arXiv Euclid OpenURL
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer Edge universality of beta ensembles. (English) Zbl 1306.82010 Commun. Math. Phys. 332, No. 1, 261-353 (2014). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82B41 15B52 15A18 PDF BibTeX XML Cite \textit{P. Bourgade} et al., Commun. Math. Phys. 332, No. 1, 261--353 (2014; Zbl 1306.82010) Full Text: DOI arXiv OpenURL
Paul, Debashis; Aue, Alexander Random matrix theory in statistics: a review. (English) Zbl 1287.62011 J. Stat. Plann. Inference 150, 1-29 (2014). MSC: 62H99 15B52 62H05 PDF BibTeX XML Cite \textit{D. Paul} and \textit{A. Aue}, J. Stat. Plann. Inference 150, 1--29 (2014; Zbl 1287.62011) Full Text: DOI Link OpenURL
Lee, Ji Oon; Yin, Jun A necessary and sufficient condition for edge universality of Wigner matrices. (English) Zbl 1296.60007 Duke Math. J. 163, No. 1, 117-173 (2014). Reviewer: Michael Stolz (Münster) MSC: 60B20 15B52 81V70 82C10 PDF BibTeX XML Cite \textit{J. O. Lee} and \textit{J. Yin}, Duke Math. J. 163, No. 1, 117--173 (2014; Zbl 1296.60007) Full Text: DOI arXiv Euclid OpenURL
Cacciapuoti, Claudio; Maltsev, Anna; Schlein, Benjamin Local Marchenko-Pastur law at the hard edge of sample covariance matrices. (English) Zbl 1282.15031 J. Math. Phys. 54, No. 4, 043302, 13 p. (2013). MSC: 15B52 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., J. Math. Phys. 54, No. 4, 043302, 13 p. (2013; Zbl 1282.15031) Full Text: DOI arXiv OpenURL
Cheng, Xiuyuan; Singer, Amit The spectrum of random inner-product kernel matrices. (English) Zbl 06249061 Random Matrices Theory Appl. 2, No. 4, Article ID 1350010, 47 p. (2013). MSC: 62H10 60F99 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{A. Singer}, Random Matrices Theory Appl. 2, No. 4, Article ID 1350010, 47 p. (2013; Zbl 06249061) Full Text: DOI arXiv OpenURL
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. (English) Zbl 1272.05111 Ann. Probab. 41, No. 3B, 2279-2375 (2013). MSC: 05C50 05C80 15B52 82B44 PDF BibTeX XML Cite \textit{L. Erdős} et al., Ann. Probab. 41, No. 3B, 2279--2375 (2013; Zbl 1272.05111) Full Text: DOI arXiv Euclid Backlinks: MO OpenURL
Zeng, Xingyuan; Hou, Zhenting Precise asymptotics for beta ensembles. (English) Zbl 1276.15020 Indian J. Pure Appl. Math. 44, No. 3, 383-404 (2013). Reviewer: Václav Burjan (Praha) MSC: 15B52 60B20 15A42 PDF BibTeX XML Cite \textit{X. Zeng} and \textit{Z. Hou}, Indian J. Pure Appl. Math. 44, No. 3, 383--404 (2013; Zbl 1276.15020) Full Text: DOI OpenURL
Knowles, Antti; Yin, Jun Eigenvector distribution of Wigner matrices. (English) Zbl 1268.15033 Probab. Theory Relat. Fields 155, No. 3-4, 543-582 (2013). Reviewer: Václav Burjan (Praha) MSC: 15B52 82B44 60B20 PDF BibTeX XML Cite \textit{A. Knowles} and \textit{J. Yin}, Probab. Theory Relat. Fields 155, No. 3--4, 543--582 (2013; Zbl 1268.15033) Full Text: DOI arXiv OpenURL
Renfrew, David; Soshnikov, Alexander On finite rank deformations of Wigner matrices. II: Delocalized perturbations. (English) Zbl 1296.60008 Random Matrices Theory Appl. 2, No. 1, Paper No. 1250015, 36 p. (2013). Reviewer: Michael Stolz (Münster) MSC: 60B20 15B52 PDF BibTeX XML Cite \textit{D. Renfrew} and \textit{A. Soshnikov}, Random Matrices Theory Appl. 2, No. 1, Paper No. 1250015, 36 p. (2013; Zbl 1296.60008) Full Text: DOI arXiv OpenURL
Lubinsky, Doron S. Bulk universality holds in measure for compactly supported measures. (English) Zbl 1279.60015 J. Anal. Math. 116, 219-253 (2012). MSC: 60B20 28A12 41A60 PDF BibTeX XML Cite \textit{D. S. Lubinsky}, J. Anal. Math. 116, 219--253 (2012; Zbl 1279.60015) Full Text: DOI OpenURL
Dumitriu, Ioana; Paquette, Elliot Global fluctuations for linear statistics of \({\beta}\)-Jacobi ensembles. (English) Zbl 1268.60009 Random Matrices Theory Appl. 1, No. 4, Paper No. 1250013, 60 p. (2012). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 60B20 60F17 PDF BibTeX XML Cite \textit{I. Dumitriu} and \textit{E. Paquette}, Random Matrices Theory Appl. 1, No. 4, Paper No. 1250013, 60 p. (2012; Zbl 1268.60009) Full Text: DOI arXiv OpenURL
Benaych-Georges, F.; Guionnet, A.; Maida, M. Large deviations of the extreme eigenvalues of random deformations of matrices. (English) Zbl 1261.15042 Probab. Theory Relat. Fields 154, No. 3-4, 703-751 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 60B20 60F10 15A18 PDF BibTeX XML Cite \textit{F. Benaych-Georges} et al., Probab. Theory Relat. Fields 154, No. 3--4, 703--751 (2012; Zbl 1261.15042) Full Text: DOI arXiv Link OpenURL
Erdős, László; Yau, Horng-Tzer Universality of local spectral statistics of random matrices. (English) Zbl 1263.15032 Bull. Am. Math. Soc., New Ser. 49, No. 3, 377-414 (2012). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 15B52 60B20 82B44 15A18 60J65 60F05 PDF BibTeX XML Cite \textit{L. Erdős} and \textit{H.-T. Yau}, Bull. Am. Math. Soc., New Ser. 49, No. 3, 377--414 (2012; Zbl 1263.15032) Full Text: DOI arXiv Link OpenURL
Kargin, V. On eigenvalues of the sum of two random projections. (English) Zbl 1260.15050 J. Stat. Phys. 149, No. 2, 246-258 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A18 15B57 PDF BibTeX XML Cite \textit{V. Kargin}, J. Stat. Phys. 149, No. 2, 246--258 (2012; Zbl 1260.15050) Full Text: DOI arXiv OpenURL
Dumitriu, Ioana; Pal, Soumik Sparse regular random graphs: spectral density and eigenvectors. (English) Zbl 1255.05173 Ann. Probab. 40, No. 5, 2197-2235 (2012). MSC: 05C80 05C42 60B20 60C05 PDF BibTeX XML Cite \textit{I. Dumitriu} and \textit{S. Pal}, Ann. Probab. 40, No. 5, 2197--2235 (2012; Zbl 1255.05173) Full Text: DOI arXiv Euclid OpenURL
Dallaporta, S. Eigenvalue variance bounds for Wigner and covariance random matrices. (English) Zbl 1252.60011 Random Matrices Theory Appl. 1, No. 3, 1250007, 28 p. (2012). MSC: 60B20 PDF BibTeX XML Cite \textit{S. Dallaporta}, Random Matrices Theory Appl. 1, No. 3, 1250007, 28 p. (2012; Zbl 1252.60011) Full Text: DOI arXiv OpenURL
Borot, Gaëtan; Nadal, Céline Right tail asymptotic expansion of Tracy-Widom beta laws. (English) Zbl 1266.60047 Random Matrices Theory Appl. 1, No. 3, 1250006, 23 p. (2012). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F10 60B20 60G70 PDF BibTeX XML Cite \textit{G. Borot} and \textit{C. Nadal}, Random Matrices Theory Appl. 1, No. 3, 1250006, 23 p. (2012; Zbl 1266.60047) Full Text: DOI arXiv OpenURL
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. (English) Zbl 1251.05162 Commun. Math. Phys. 314, No. 3, 587-640 (2012). MSC: 05C80 60B20 PDF BibTeX XML Cite \textit{L. Erdős} et al., Commun. Math. Phys. 314, No. 3, 587--640 (2012; Zbl 1251.05162) Full Text: DOI arXiv Backlinks: MO OpenURL
Wong, Percy Local semicircle law at the spectral edge for Gaussian \(\beta \)-ensembles. (English) Zbl 1251.82031 Commun. Math. Phys. 312, No. 1, 251-263 (2012). MSC: 82B44 15B52 60B20 PDF BibTeX XML Cite \textit{P. Wong}, Commun. Math. Phys. 312, No. 1, 251--263 (2012; Zbl 1251.82031) Full Text: DOI arXiv OpenURL
Bai, Zhidong; Ding, Xue Estimation of spiked eigenvalues in spiked models. (English) Zbl 1251.15037 Random Matrices Theory Appl. 1, No. 2, 1150011, 21 p. (2012). Reviewer: Cyril Fischer (Praha) MSC: 15B52 60F15 62E20 62H99 60B20 60F17 15A18 62H12 62J10 PDF BibTeX XML Cite \textit{Z. Bai} and \textit{X. Ding}, Random Matrices Theory Appl. 1, No. 2, 1150011, 21 p. (2012; Zbl 1251.15037) Full Text: DOI OpenURL
Capitaine, M.; Donati-Martin, C.; Féral, D. Central limit theorems for eigenvalues of deformations of Wigner matrices. (English. French summary) Zbl 1237.60007 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 1, 107-133 (2012). MSC: 60B20 15A18 60F05 PDF BibTeX XML Cite \textit{M. Capitaine} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 1, 107--133 (2012; Zbl 1237.60007) Full Text: DOI arXiv Euclid OpenURL
Johansson, Kurt Universality for certain Hermitian Wigner matrices under weak moment conditions. (English. French summary) Zbl 1279.60014 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 1, 47-79 (2012). MSC: 60B20 15B52 82B44 PDF BibTeX XML Cite \textit{K. Johansson}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 1, 47--79 (2012; Zbl 1279.60014) Full Text: DOI arXiv Euclid OpenURL
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun The local relaxation flow approach to universality of the local statistics for random matrices. (English. French summary) Zbl 1285.82029 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 1, 1-46 (2012). Reviewer: Sven Bachmann (München) MSC: 82B44 60B20 15B52 PDF BibTeX XML Cite \textit{L. Erdős} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 1, 1--46 (2012; Zbl 1285.82029) Full Text: DOI arXiv Euclid OpenURL
Erdős, László; Yau, Horng-Tzer; Yin, Jun Rigidity of eigenvalues of generalized Wigner matrices. (English) Zbl 1238.15017 Adv. Math. 229, No. 3, 1435-1515 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 82B44 60B20 60F15 60J65 PDF BibTeX XML Cite \textit{L. Erdős} et al., Adv. Math. 229, No. 3, 1435--1515 (2012; Zbl 1238.15017) Full Text: DOI arXiv OpenURL
Pizzo, Alessandro; Renfrew, David; Soshnikov, Alexander Fluctuations of matrix entries of regular functions of Wigner matrices. (English) Zbl 1246.60014 J. Stat. Phys. 146, No. 3, 550-591 (2012). Reviewer: Xiangqian Guo (Waterloo) MSC: 60B20 15B52 PDF BibTeX XML Cite \textit{A. Pizzo} et al., J. Stat. Phys. 146, No. 3, 550--591 (2012; Zbl 1246.60014) Full Text: DOI arXiv OpenURL
Ambainis, Andris; Harrow, Aram W.; Hastings, Matthew B. Random tensor theory: Extending random matrix theory to mixtures of random product states. (English) Zbl 1243.15021 Commun. Math. Phys. 310, No. 1, 25-74 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 60B20 81P45 PDF BibTeX XML Cite \textit{A. Ambainis} et al., Commun. Math. Phys. 310, No. 1, 25--74 (2012; Zbl 1243.15021) Full Text: DOI arXiv OpenURL
Maltsev, Anna; Schlein, Benjamin Average density of states for Hermitian Wigner matrices. (English) Zbl 1235.15030 Adv. Math. 228, No. 5, 2797-2836 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15B52 60B20 PDF BibTeX XML Cite \textit{A. Maltsev} and \textit{B. Schlein}, Adv. Math. 228, No. 5, 2797--2836 (2011; Zbl 1235.15030) Full Text: DOI arXiv OpenURL
Erdős, László; Knowles, Antti Quantum diffusion and delocalization for band matrices with general distribution. (English) Zbl 1247.15033 Ann. Henri Poincaré 12, No. 7, 1227-1319 (2011). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15B52 15A18 81Q10 81Q05 PDF BibTeX XML Cite \textit{L. Erdős} and \textit{A. Knowles}, Ann. Henri Poincaré 12, No. 7, 1227--1319 (2011; Zbl 1247.15033) Full Text: DOI arXiv OpenURL
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer Universality of random matrices and local relaxation flow. (English) Zbl 1225.15033 Invent. Math. 185, No. 1, 75-119 (2011). Reviewer: Václav Burjan (Praha) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{L. Erdős} et al., Invent. Math. 185, No. 1, 75--119 (2011; Zbl 1225.15033) Full Text: DOI arXiv OpenURL
Lubinsky, D. S. Universality in the bulk holds close to given points. (English) Zbl 1225.15036 J. Approx. Theory 163, No. 7, 904-922 (2011). Reviewer: Václav Burjan (Praha) MSC: 15B52 42C05 60B20 15A18 PDF BibTeX XML Cite \textit{D. S. Lubinsky}, J. Approx. Theory 163, No. 7, 904--922 (2011; Zbl 1225.15036) Full Text: DOI OpenURL
Shcherbina, T. On universality of local edge regime for the deformed Gaussian unitary ensemble. (English) Zbl 1219.82094 J. Stat. Phys. 143, No. 3, 455-481 (2011). MSC: 82B31 15B52 PDF BibTeX XML Cite \textit{T. Shcherbina}, J. Stat. Phys. 143, No. 3, 455--481 (2011; Zbl 1219.82094) Full Text: DOI arXiv OpenURL
Tao, Terence; Vu, Van Random matrices: universality of local eigenvalue statistics. (English) Zbl 1217.15043 Acta Math. 206, No. 1, 127-204 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 60B20 60E05 60E15 62L20 15A18 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Acta Math. 206, No. 1, 127--204 (2011; Zbl 1217.15043) Full Text: DOI arXiv OpenURL
Singer, A. Angular synchronization by eigenvectors and semidefinite programming. (English) Zbl 1206.90116 Appl. Comput. Harmon. Anal. 30, No. 1, 20-36 (2011). MSC: 90C22 90C99 PDF BibTeX XML Cite \textit{A. Singer}, Appl. Comput. Harmon. Anal. 30, No. 1, 20--36 (2011; Zbl 1206.90116) Full Text: DOI arXiv OpenURL
Bornemann, Folkmar Asymptotic independence of the extreme eigenvalues of Gaussian unitary ensemble. (English) Zbl 1309.15052 J. Math. Phys. 51, No. 2, 023514, 8 p. (2010). MSC: 15B52 15A18 81V35 81V05 82B10 PDF BibTeX XML Cite \textit{F. Bornemann}, J. Math. Phys. 51, No. 2, 023514, 8 p. (2010; Zbl 1309.15052) Full Text: DOI arXiv OpenURL
Bobkov, S. G.; Götze, F. Concentration of empirical distribution functions with applications to non-i.i.d. models. (English) Zbl 1207.62106 Bernoulli 16, No. 4, 1385-1414 (2010). MSC: 62G30 62H10 60E15 62E17 60F10 15B52 PDF BibTeX XML Cite \textit{S. G. Bobkov} and \textit{F. Götze}, Bernoulli 16, No. 4, 1385--1414 (2010; Zbl 1207.62106) Full Text: DOI arXiv OpenURL
Sodin, Sasha The spectral edge of some random band matrices. (English) Zbl 1210.15039 Ann. Math. (2) 172, No. 3, 2223-2251 (2010). Reviewer: Václav Burjan (Praha) MSC: 15B52 60C05 82B44 60B20 15B57 60G50 PDF BibTeX XML Cite \textit{S. Sodin}, Ann. Math. (2) 172, No. 3, 2223--2251 (2010; Zbl 1210.15039) Full Text: DOI arXiv OpenURL
Tao, Terence; Vu, Van Random matrices: Universality of local eigenvalue statistics up to the edge. (English) Zbl 1202.15038 Commun. Math. Phys. 298, No. 2, 549-572 (2010). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A18 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Commun. Math. Phys. 298, No. 2, 549--572 (2010; Zbl 1202.15038) Full Text: DOI arXiv OpenURL
Liu, Dang-Zheng; Zhou, Da-Sheng Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles. (English) Zbl 1197.82063 J. Stat. Phys. 140, No. 2, 268-288 (2010). MSC: 82B41 15B52 PDF BibTeX XML Cite \textit{D.-Z. Liu} and \textit{D.-S. Zhou}, J. Stat. Phys. 140, No. 2, 268--288 (2010; Zbl 1197.82063) Full Text: DOI arXiv OpenURL
Feldheim, Ohad N.; Sodin, Sasha A universality result for the smallest eigenvalues of certain sample covariance matrices. (English) Zbl 1198.60011 Geom. Funct. Anal. 20, No. 1, 88-123 (2010). MSC: 60B20 62H10 PDF BibTeX XML Cite \textit{O. N. Feldheim} and \textit{S. Sodin}, Geom. Funct. Anal. 20, No. 1, 88--123 (2010; Zbl 1198.60011) Full Text: DOI arXiv OpenURL
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer Bulk universality for Wigner matrices. (English) Zbl 1216.15025 Commun. Pure Appl. Math. 63, No. 7, 895-925 (2010). Reviewer: Paul-Olivier Dehaye (Zürich) MSC: 15B52 15B57 60B20 15A18 PDF BibTeX XML Cite \textit{L. Erdös} et al., Commun. Pure Appl. Math. 63, No. 7, 895--925 (2010; Zbl 1216.15025) Full Text: DOI arXiv OpenURL
Bolla, Marianna; Friedl, Katalin; Krámli, András Singular value decomposition of large random matrices (for two-way classification of microarrays). (English) Zbl 1185.15031 J. Multivariate Anal. 101, No. 2, 434-446 (2010). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15B52 15A42 62H30 15A18 PDF BibTeX XML Cite \textit{M. Bolla} et al., J. Multivariate Anal. 101, No. 2, 434--446 (2010; Zbl 1185.15031) Full Text: DOI arXiv OpenURL
Lubinsky, Doron S. Some recent methods for establishing universality limits. (English) Zbl 1239.60003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2750-e2765 (2009). MSC: 60B20 15B52 42C05 PDF BibTeX XML Cite \textit{D. S. Lubinsky}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2750--e2765 (2009; Zbl 1239.60003) Full Text: DOI OpenURL
Féral, Delphine; Péché, Sandrine The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case. (English) Zbl 1342.62100 J. Math. Phys. 50, No. 7, 073302, 33 p. (2009). MSC: 62H25 05C50 05C80 15A18 PDF BibTeX XML Cite \textit{D. Féral} and \textit{S. Péché}, J. Math. Phys. 50, No. 7, 073302, 33 p. (2009; Zbl 1342.62100) Full Text: DOI arXiv OpenURL
Najnudel, Joseph; Nikeghbali, Ashkan; Rubin, Felix Scaled limit and rate of convergence for the largest eigenvalue from the generalized Cauchy random matrix ensemble. (English) Zbl 1181.82027 J. Stat. Phys. 137, No. 2, 373-406 (2009). MSC: 82B31 15B52 15A18 PDF BibTeX XML Cite \textit{J. Najnudel} et al., J. Stat. Phys. 137, No. 2, 373--406 (2009; Zbl 1181.82027) Full Text: DOI arXiv OpenURL
Sodin, Sasha The Tracy-Widom law for some sparse random matrices. (English) Zbl 1177.82066 J. Stat. Phys. 136, No. 5, 834-841 (2009); erratum ibid. 166, No. 5, 1343 (2017). MSC: 82B41 PDF BibTeX XML Cite \textit{S. Sodin}, J. Stat. Phys. 136, No. 5, 834--841 (2009; Zbl 1177.82066) Full Text: DOI arXiv OpenURL
Ledoux, M. A recursion formula for the moments of the Gaussian orthogonal ensemble. (English) Zbl 1184.60003 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 3, 754-769 (2009). Reviewer: Michael Voit (Dortmund) MSC: 60B20 15B52 33C45 60E05 PDF BibTeX XML Cite \textit{M. Ledoux}, Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 3, 754--769 (2009; Zbl 1184.60003) Full Text: DOI EuDML OpenURL
Auffinger, Antonio; Ben Arous, Gérard; Péché, Sandrine Poisson convergence for the largest eigenvalues of heavy tailed random matrices. (English) Zbl 1177.15037 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 3, 589-610 (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 62G32 60G55 15A18 PDF BibTeX XML Cite \textit{A. Auffinger} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 3, 589--610 (2009; Zbl 1177.15037) Full Text: DOI arXiv EuDML OpenURL
Chafai, Djalil Aspects of large random Markov kernels. (English) Zbl 1186.60004 Stochastics 81, No. 3-4, 415-429 (2009). Reviewer: Zoran Vondraček (Zagreb) MSC: 60B20 15B52 60F15 62H99 PDF BibTeX XML Cite \textit{D. Chafai}, Stochastics 81, No. 3--4, 415--429 (2009; Zbl 1186.60004) Full Text: DOI OpenURL
Popescu, Ionel General tridiagonal random matrix models, limiting distributions and fluctuations. (English) Zbl 1165.82012 Probab. Theory Relat. Fields 144, No. 1-2, 179-220 (2009). MSC: 82B41 15B52 15A18 PDF BibTeX XML Cite \textit{I. Popescu}, Probab. Theory Relat. Fields 144, No. 1--2, 179--220 (2009; Zbl 1165.82012) Full Text: DOI arXiv OpenURL
Péché, Sandrine Universality results for the largest eigenvalues of some sample covariance matrix ensembles. (English) Zbl 1167.62019 Probab. Theory Relat. Fields 143, No. 3-4, 481-516 (2009). MSC: 62E20 62H10 60F05 PDF BibTeX XML Cite \textit{S. Péché}, Probab. Theory Relat. Fields 143, No. 3--4, 481--516 (2009; Zbl 1167.62019) Full Text: DOI arXiv OpenURL
Capitaine, Mireille; Donati-Martin, Catherine; Féral, Delphine The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations. (English) Zbl 1163.15026 Ann. Probab. 37, No. 1, 1-47 (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A18 60F05 PDF BibTeX XML Cite \textit{M. Capitaine} et al., Ann. Probab. 37, No. 1, 1--47 (2009; Zbl 1163.15026) Full Text: DOI arXiv OpenURL
Killip, Rowan; Stoiciu, Mihai Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles. (English) Zbl 1155.81020 Duke Math. J. 146, No. 3, 361-399 (2009). MSC: 81Q10 60F17 35R60 15B52 PDF BibTeX XML Cite \textit{R. Killip} and \textit{M. Stoiciu}, Duke Math. J. 146, No. 3, 361--399 (2009; Zbl 1155.81020) Full Text: DOI arXiv Link OpenURL
Choup, Leonard N. Edgeworth expansion of the largest eigenvalue distribution function of Gaussian unitary ensemble revisited. (English) Zbl 1153.81343 J. Math. Phys. 49, No. 3, 033508, 16 p. (2008). MSC: 82B41 60G15 82B44 PDF BibTeX XML Cite \textit{L. N. Choup}, J. Math. Phys. 49, No. 3, 033508, 16 p. (2008; Zbl 1153.81343) Full Text: DOI arXiv OpenURL
Ben Arous, Gérard; Guionnet, Alice The spectrum of heavy tailed random matrices. (English) Zbl 1157.60005 Commun. Math. Phys. 278, No. 3, 715-751 (2008). Reviewer: Neville Weber (Sydney) MSC: 60B10 60F05 PDF BibTeX XML Cite \textit{G. Ben Arous} and \textit{A. Guionnet}, Commun. Math. Phys. 278, No. 3, 715--751 (2008; Zbl 1157.60005) Full Text: DOI arXiv OpenURL
Astrauskas, A. Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas. (English) Zbl 1149.82015 J. Stat. Phys. 131, No. 5, 867-916 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B44 82B20 PDF BibTeX XML Cite \textit{A. Astrauskas}, J. Stat. Phys. 131, No. 5, 867--916 (2008; Zbl 1149.82015) Full Text: DOI OpenURL