Cipolloni, Giorgio; Erdős, László; Schröder, Dominik; Xu, Yuanyuan On the rightmost eigenvalue of non-Hermitian random matrices. (English) Zbl 07795620 Ann. Probab. 51, No. 6, 2192-2242 (2023). MSC: 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{G. Cipolloni} et al., Ann. Probab. 51, No. 6, 2192--2242 (2023; Zbl 07795620) Full Text: DOI arXiv
Alt, Johannes; Ducatez, Raphael; Knowles, Antti Poisson statistics and localization at the spectral edge of sparse Erdős-Rényi graphs. (English) Zbl 1504.05260 Ann. Probab. 51, No. 1, 277-358 (2023). MSC: 05C80 15B52 60B20 60G55 PDFBibTeX XMLCite \textit{J. Alt} et al., Ann. Probab. 51, No. 1, 277--358 (2023; Zbl 1504.05260) Full Text: DOI arXiv
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik Normal fluctuation in quantum ergodicity for Wigner matrices. (English) Zbl 1502.60004 Ann. Probab. 50, No. 3, 984-1012 (2022). MSC: 60B20 58J51 15B52 PDFBibTeX XMLCite \textit{G. Cipolloni} et al., Ann. Probab. 50, No. 3, 984--1012 (2022; Zbl 1502.60004) Full Text: DOI arXiv
Johansson, Kurt; Rahman, Mustazee On inhomogeneous polynuclear growth. (English) Zbl 1487.60187 Ann. Probab. 50, No. 2, 559-590 (2022). MSC: 60K35 82C23 82C24 05E10 15A15 30E20 PDFBibTeX XMLCite \textit{K. Johansson} and \textit{M. Rahman}, Ann. Probab. 50, No. 2, 559--590 (2022; Zbl 1487.60187) Full Text: DOI arXiv Link
Jain, Vishesh; Sah, Ashwin; Sawhney, Mehtaab On the real Davies’ conjecture. (English) Zbl 1486.15013 Ann. Probab. 49, No. 6, 3011-3031 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15B52 60B20 PDFBibTeX XMLCite \textit{V. Jain} et al., Ann. Probab. 49, No. 6, 3011--3031 (2021; Zbl 1486.15013) Full Text: DOI arXiv
Dubach, Guillaume; Peled, Yuval On words of non-Hermitian random matrices. (English) Zbl 1467.60007 Ann. Probab. 49, No. 4, 1886-1916 (2021). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{G. Dubach} and \textit{Y. Peled}, Ann. Probab. 49, No. 4, 1886--1916 (2021; Zbl 1467.60007) Full Text: DOI arXiv
Bhattacharya, Bhaswar B.; Bhattacharya, Sohom; Ganguly, Shirshendu Spectral edge in sparse random graphs: upper and lower tail large deviations. (English) Zbl 1467.05237 Ann. Probab. 49, No. 4, 1847-1885 (2021). MSC: 05C80 05C42 05C50 05C35 15A18 60B20 60F10 PDFBibTeX XMLCite \textit{B. B. Bhattacharya} et al., Ann. Probab. 49, No. 4, 1847--1885 (2021; Zbl 1467.05237) Full Text: DOI arXiv
Aggarwal, Amol; Lopatto, Patrick; Marcinek, Jake Eigenvector statistics of Lévy matrices. (English) Zbl 1467.60003 Ann. Probab. 49, No. 4, 1778-1846 (2021). MSC: 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{A. Aggarwal} et al., Ann. Probab. 49, No. 4, 1778--1846 (2021; Zbl 1467.60003) Full Text: DOI arXiv
Alt, Johannes; Ducatez, Raphaël; Knowles, Antti Extremal eigenvalues of critical Erdős-Rényi graphs. (English) Zbl 1467.05236 Ann. Probab. 49, No. 3, 1347-1401 (2021). MSC: 05C80 15B52 60B20 PDFBibTeX XMLCite \textit{J. Alt} et al., Ann. Probab. 49, No. 3, 1347--1401 (2021; Zbl 1467.05236) Full Text: DOI arXiv
Livshyts, Galyna V.; Tikhomirov, Konstantin; Vershynin, Roman The smallest singular value of inhomogeneous square random matrices. (English) Zbl 1467.60010 Ann. Probab. 49, No. 3, 1286-1309 (2021). MSC: 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{G. V. Livshyts} et al., Ann. Probab. 49, No. 3, 1286--1309 (2021; Zbl 1467.60010) Full Text: DOI arXiv
Au, Benson; Cébron, Guillaume; Dahlqvist, Antoine; Gabriel, Franck; Male, Camille Freeness over the diagonal for large random matrices. (English) Zbl 1480.15040 Ann. Probab. 49, No. 1, 157-179 (2021). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{B. Au} et al., Ann. Probab. 49, No. 1, 157--179 (2021; Zbl 1480.15040) Full Text: DOI Euclid
Augeri, Fanny Nonlinear large deviation bounds with applications to Wigner matrices and sparse Erdős-Rényi graphs. (English) Zbl 1456.60063 Ann. Probab. 48, No. 5, 2404-2448 (2020). MSC: 60F10 60B20 15B52 05C80 52A40 PDFBibTeX XMLCite \textit{F. Augeri}, Ann. Probab. 48, No. 5, 2404--2448 (2020; Zbl 1456.60063) Full Text: DOI arXiv Euclid
Guionnet, Alice; Husson, Jonathan Large deviations for the largest eigenvalue of Rademacher matrices. (English) Zbl 1444.60021 Ann. Probab. 48, No. 3, 1436-1465 (2020). MSC: 60F10 60B20 15B52 PDFBibTeX XMLCite \textit{A. Guionnet} and \textit{J. Husson}, Ann. Probab. 48, No. 3, 1436--1465 (2020; Zbl 1444.60021) Full Text: DOI arXiv Euclid
Kopel, Phil; O’Rourke, Sean; Vu, Van Random matrix products: universality and least singular values. (English) Zbl 1451.60017 Ann. Probab. 48, No. 3, 1372-1410 (2020). Reviewer: Göran Högnäs (Åbo) MSC: 60B20 15B52 60F05 PDFBibTeX XMLCite \textit{P. Kopel} et al., Ann. Probab. 48, No. 3, 1372--1410 (2020; Zbl 1451.60017) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{J. Alt} et al., Ann. Probab. 48, No. 2, 963--1001 (2020; Zbl 1434.60017) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{J. Huang} et al., Ann. Probab. 48, No. 2, 916--962 (2020; Zbl 1440.05181) Full Text: DOI arXiv Euclid
Dette, Holger; Tomecki, Dominik; Venker, Martin Random moment problems under constraints. (English) Zbl 1446.60017 Ann. Probab. 48, No. 2, 672-713 (2020). Reviewer: Wiesław Dziubdziela (Miedziana Góra) MSC: 60F05 30E05 60B20 15B52 PDFBibTeX XMLCite \textit{H. Dette} et al., Ann. Probab. 48, No. 2, 672--713 (2020; Zbl 1446.60017) Full Text: DOI arXiv Euclid
He, Yukun; Knowles, Antti; Marcozzi, Matteo Local law and complete eigenvector delocalization for supercritical Erdős-Rényi graphs. (English) Zbl 1447.60022 Ann. Probab. 47, No. 5, 3278-3302 (2019). MSC: 60B20 15B52 05C80 PDFBibTeX XMLCite \textit{Y. He} et al., Ann. Probab. 47, No. 5, 3278--3302 (2019; Zbl 1447.60022) Full Text: DOI arXiv Euclid
Lambert, Gaultier; Ledoux, Michel; Webb, Christian Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. (English) Zbl 1448.60058 Ann. Probab. 47, No. 5, 2619-2685 (2019). MSC: 60F05 60B20 60K35 15B52 82B05 PDFBibTeX XMLCite \textit{G. Lambert} et al., Ann. Probab. 47, No. 5, 2619--2685 (2019; Zbl 1448.60058) Full Text: DOI arXiv Euclid
Basak, Anirban; Rudelson, Mark The circular law for sparse non-Hermitian matrices. (English) Zbl 1472.60006 Ann. Probab. 47, No. 4, 2359-2416 (2019). Reviewer: Carlo Sempi (Lecce) MSC: 60B10 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{A. Basak} and \textit{M. Rudelson}, Ann. Probab. 47, No. 4, 2359--2416 (2019; Zbl 1472.60006) Full Text: DOI arXiv Euclid
Backhausz, Ágnes; Szegedy, Balázs On the almost eigenvectors of random regular graphs. (English) Zbl 1414.05259 Ann. Probab. 47, No. 3, 1677-1725 (2019). MSC: 05C80 60B20 15B52 PDFBibTeX XMLCite \textit{Á. Backhausz} and \textit{B. Szegedy}, Ann. Probab. 47, No. 3, 1677--1725 (2019; Zbl 1414.05259) Full Text: DOI arXiv Euclid
Benaych-Georges, Florent; Bordenave, Charles; Knowles, Antti Largest eigenvalues of sparse inhomogeneous Erdős-Rényi graphs. (English) Zbl 1447.60017 Ann. Probab. 47, No. 3, 1653-1676 (2019). MSC: 60B20 15B52 05C80 PDFBibTeX XMLCite \textit{F. Benaych-Georges} et al., Ann. Probab. 47, No. 3, 1653--1676 (2019; Zbl 1447.60017) Full Text: DOI arXiv Euclid
Bao, Zhigang; Erdős, László; Schnelli, Kevin Local single ring theorem on optimal scale. (English) Zbl 1479.15034 Ann. Probab. 47, No. 3, 1270-1334 (2019). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 15B52 60B20 46L54 PDFBibTeX XMLCite \textit{Z. Bao} et al., Ann. Probab. 47, No. 3, 1270--1334 (2019; Zbl 1479.15034) Full Text: DOI arXiv Euclid
Tikhomirov, Konstantin; Youssef, Pierre The spectral gap of dense random regular graphs. (English) Zbl 1407.05212 Ann. Probab. 47, No. 1, 362-419 (2019). MSC: 05C80 05C50 60B20 15B52 PDFBibTeX XMLCite \textit{K. Tikhomirov} and \textit{P. Youssef}, Ann. Probab. 47, No. 1, 362--419 (2019; Zbl 1407.05212) Full Text: DOI arXiv Euclid
Cook, Nicholas Lower bounds for the smallest singular value of structured random matrices. (English) Zbl 1426.60006 Ann. Probab. 46, No. 6, 3442-3500 (2018). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{N. Cook}, Ann. Probab. 46, No. 6, 3442--3500 (2018; Zbl 1426.60006) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{V. Gorin} and \textit{M. Shkolnikov}, Ann. Probab. 46, No. 4, 2287--2344 (2018; Zbl 1430.60011) Full Text: DOI arXiv Euclid
Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Tikhomirov, Konstantin On the spectral radius of a random matrix: an upper bound without fourth moment. (English) Zbl 1393.05130 Ann. Probab. 46, No. 4, 2268-2286 (2018). MSC: 05C20 15B52 47A10 05C80 PDFBibTeX XMLCite \textit{C. Bordenave} et al., Ann. Probab. 46, No. 4, 2268--2286 (2018; Zbl 1393.05130) Full Text: DOI arXiv Euclid
Johansson, Kurt; Lambert, Gaultier Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes. (English) Zbl 1429.60011 Ann. Probab. 46, No. 3, 1201-1278 (2018). MSC: 60B20 15B52 60G55 60F05 PDFBibTeX XMLCite \textit{K. Johansson} and \textit{G. Lambert}, Ann. Probab. 46, No. 3, 1201--1278 (2018; Zbl 1429.60011) Full Text: DOI arXiv Euclid
Cook, Nicholas; Goldstein, Larry; Johnson, Tobias Size biased couplings and the spectral gap for random regular graphs. (English) Zbl 1386.05105 Ann. Probab. 46, No. 1, 72-125 (2018). MSC: 05C50 05C80 60B20 60E15 15B52 PDFBibTeX XMLCite \textit{N. Cook} et al., Ann. Probab. 46, No. 1, 72--125 (2018; Zbl 1386.05105) Full Text: DOI arXiv
Bordenave, Charles; Lelarge, Marc; Massoulié, Laurent Nonbacktracking spectrum of random graphs: community detection and nonregular Ramanujan graphs. (English) Zbl 1386.05174 Ann. Probab. 46, No. 1, 1-71 (2018). MSC: 05C80 05C20 60B20 62M15 60J85 15B52 PDFBibTeX XMLCite \textit{C. Bordenave} et al., Ann. Probab. 46, No. 1, 1--71 (2018; Zbl 1386.05174) Full Text: DOI arXiv
Eisenbaum, Nathalie; Maunoury, Franck Existence conditions of permanental and multivariate negative binomial distributions. (English) Zbl 1385.60049 Ann. Probab. 45, No. 6B, 4786-4820 (2017). Reviewer: Miroslav M. Ristić (Niš) MSC: 60G15 60E05 60E07 60E10 15A15 15B48 PDFBibTeX XMLCite \textit{N. Eisenbaum} and \textit{F. Maunoury}, Ann. Probab. 45, No. 6B, 4786--4820 (2017; Zbl 1385.60049) Full Text: DOI Euclid
Benaych-Georges, Florent Local single ring theorem. (English) Zbl 1383.15033 Ann. Probab. 45, No. 6A, 3850-3885 (2017). MSC: 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{F. Benaych-Georges}, Ann. Probab. 45, No. 6A, 3850--3885 (2017; Zbl 1383.15033) Full Text: DOI arXiv Euclid
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer Bulk eigenvalue statistics for random regular graphs. (English) Zbl 1379.05098 Ann. Probab. 45, No. 6A, 3626-3663 (2017). MSC: 05C80 05C50 60B20 15B52 PDFBibTeX XMLCite \textit{R. Bauerschmidt} et al., Ann. Probab. 45, No. 6A, 3626--3663 (2017; Zbl 1379.05098) Full Text: DOI arXiv Euclid
Eisenbaum, Nathalie Permanental vectors with nonsymmetric kernels. (English) Zbl 1375.60080 Ann. Probab. 45, No. 1, 210-224 (2017). Reviewer: Kun Soo Chang (Seoul) MSC: 60G15 60E07 60E10 15A15 PDFBibTeX XMLCite \textit{N. Eisenbaum}, Ann. Probab. 45, No. 1, 210--224 (2017; Zbl 1375.60080) Full Text: DOI arXiv Euclid
Paulin, Daniel; Mackey, Lester; Tropp, Joel A. Efron-Stein inequalities for random matrices. (English) Zbl 1378.60025 Ann. Probab. 44, No. 5, 3431-3473 (2016). Reviewer: Ludwig Paditz (Dresden) MSC: 60B20 15B52 60E15 60G09 60F10 PDFBibTeX XMLCite \textit{D. Paulin} et al., Ann. Probab. 44, No. 5, 3431--3473 (2016; Zbl 1378.60025) Full Text: DOI arXiv Euclid
Rudelson, Mark; Samorodnitsky, Alex; Zeitouni, Ofer Hafnians, perfect matchings and Gaussian matrices. (English) Zbl 1393.60009 Ann. Probab. 44, No. 4, 2858-2888 (2016). MSC: 60B20 15B52 05C70 PDFBibTeX XMLCite \textit{M. Rudelson} et al., Ann. Probab. 44, No. 4, 2858--2888 (2016; Zbl 1393.60009) Full Text: DOI arXiv Euclid
Cébron, Guillaume Matricial model for the free multiplicative convolution. (English) Zbl 1361.15037 Ann. Probab. 44, No. 4, 2427-2478 (2016). Reviewer: Martin Plešinger (Liberec) MSC: 15B52 60B15 46L54 60E07 15B10 15B57 60B20 60G51 PDFBibTeX XMLCite \textit{G. Cébron}, Ann. Probab. 44, No. 4, 2427--2478 (2016; Zbl 1361.15037) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{J. O. Lee} et al., Ann. Probab. 44, No. 3, 2349--2425 (2016; Zbl 1346.15037) Full Text: DOI arXiv Euclid
Hachem, Walid; Hardy, Adrien; Najim, Jamal Large complex correlated Wishart matrices: fluctuations and asymptotic independence at the edges. (English) Zbl 1346.15035 Ann. Probab. 44, No. 3, 2264-2348 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 15A18 60F15 60B20 PDFBibTeX XMLCite \textit{W. Hachem} et al., Ann. Probab. 44, No. 3, 2264--2348 (2016; Zbl 1346.15035) Full Text: DOI arXiv Euclid
Jiang, Tiefeng; Matsumoto, Sho Moments of traces of circular beta-ensembles. (English) Zbl 1388.60029 Ann. Probab. 43, No. 6, 3279-3336 (2015). MSC: 60B20 15B52 05E05 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{S. Matsumoto}, Ann. Probab. 43, No. 6, 3279--3336 (2015; Zbl 1388.60029) Full Text: DOI arXiv Euclid
Kargin, V. Subordination for the sum of two random matrices. (English) Zbl 1320.60022 Ann. Probab. 43, No. 4, 2119-2150 (2015). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{V. Kargin}, Ann. Probab. 43, No. 4, 2119--2150 (2015; Zbl 1320.60022) Full Text: DOI arXiv Euclid
Sandier, Etienne; Serfaty, Sylvia 2D Coulomb gases and the renormalized energy. (English) Zbl 1328.82006 Ann. Probab. 43, No. 4, 2026-2083 (2015). Reviewer: Iván Abonyi (Budapest) MSC: 82B05 82D10 82D99 15B52 82B20 60F10 PDFBibTeX XMLCite \textit{E. Sandier} and \textit{S. Serfaty}, Ann. Probab. 43, No. 4, 2026--2083 (2015; Zbl 1328.82006) Full Text: DOI arXiv Euclid
Fulman, Jason; Goldstein, Larry Stein’s method and the rank distribution of random matrices over finite fields. (English) Zbl 1388.60024 Ann. Probab. 43, No. 3, 1274-1314 (2015). MSC: 60B20 15B52 60C05 60F05 PDFBibTeX XMLCite \textit{J. Fulman} and \textit{L. Goldstein}, Ann. Probab. 43, No. 3, 1274--1314 (2015; Zbl 1388.60024) Full Text: DOI arXiv Euclid
Ameur, Yacin; Hedenmalm, Haakan; Makarov, Nikolai Random normal matrices and Ward identities. (English) Zbl 1388.60020 Ann. Probab. 43, No. 3, 1157-1201 (2015). MSC: 60B20 15B52 46E22 PDFBibTeX XMLCite \textit{Y. Ameur} et al., Ann. Probab. 43, No. 3, 1157--1201 (2015; Zbl 1388.60020) Full Text: DOI arXiv Euclid
Tao, Terence; Vu, Van Random matrices: universality of local spectral statistics of non-Hermitian matrices. (English) Zbl 1316.15042 Ann. Probab. 43, No. 2, 782-874 (2015). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 60B20 15A15 39A50 44A15 PDFBibTeX XMLCite \textit{T. Tao} and \textit{V. Vu}, Ann. Probab. 43, No. 2, 782--874 (2015; Zbl 1316.15042) Full Text: DOI arXiv Euclid
Dirksen, Sjoerd Itô isomorphisms for \(L^{p}\)-valued Poisson stochastic integrals. (English) Zbl 1308.60068 Ann. Probab. 42, No. 6, 2595-2643 (2014). MSC: 60H05 60H15 60B20 15B52 60G50 46L53 PDFBibTeX XMLCite \textit{S. Dirksen}, Ann. Probab. 42, No. 6, 2595--2643 (2014; Zbl 1308.60068) Full Text: DOI arXiv
Bordenave, Charles; Caputo, Pietro A large deviation principle for Wigner matrices without Gaussian tails. (English) Zbl 1330.60012 Ann. Probab. 42, No. 6, 2454-2496 (2014). Reviewer: Djalil Chafaï (Paris) MSC: 60B20 15B52 47A10 15A18 PDFBibTeX XMLCite \textit{C. Bordenave} and \textit{P. Caputo}, Ann. Probab. 42, No. 6, 2454--2496 (2014; Zbl 1330.60012) Full Text: DOI arXiv
Knowles, Antti; Yin, Jun The outliers of a deformed Wigner matrix. (English) Zbl 1306.15034 Ann. Probab. 42, No. 5, 1980-2031 (2014). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{A. Knowles} and \textit{J. Yin}, Ann. Probab. 42, No. 5, 1980--2031 (2014; Zbl 1306.15034) Full Text: DOI arXiv Euclid
Nguyen, Hoi H. Random doubly stochastic matrices: the circular law. (English) Zbl 1295.60009 Ann. Probab. 42, No. 3, 1161-1196 (2014). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60B20 15A42 11P70 PDFBibTeX XMLCite \textit{H. H. Nguyen}, Ann. Probab. 42, No. 3, 1161--1196 (2014; Zbl 1295.60009) Full Text: DOI arXiv Euclid
Nguyen, Hoi H.; Vu, Van Random matrices: law of the determinant. (English) Zbl 1299.60005 Ann. Probab. 42, No. 1, 146-167 (2014). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 60F05 15B52 PDFBibTeX XMLCite \textit{H. H. Nguyen} and \textit{V. Vu}, Ann. Probab. 42, No. 1, 146--167 (2014; Zbl 1299.60005) Full Text: DOI arXiv Euclid
Auffinger, Antonio; Ben Arous, Gerard Complexity of random smooth functions on the high-dimensional sphere. (English) Zbl 1288.15045 Ann. Probab. 41, No. 6, 4214-4247 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 15B52 82D30 60G60 82B27 60B20 PDFBibTeX XMLCite \textit{A. Auffinger} and \textit{G. Ben Arous}, Ann. Probab. 41, No. 6, 4214--4247 (2013; Zbl 1288.15045) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Erdős} et al., Ann. Probab. 41, No. 3B, 2279--2375 (2013; Zbl 1272.05111) Full Text: DOI arXiv Euclid Backlinks: MO
Anderson, Greg W. Convergence of the largest singular value of a polynomial in independent Wigner matrices. (English) Zbl 1282.60007 Ann. Probab. 41, No. 3B, 2103-2181 (2013). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 15B52 46L54 PDFBibTeX XMLCite \textit{G. W. Anderson}, Ann. Probab. 41, No. 3B, 2103--2181 (2013; Zbl 1282.60007) Full Text: DOI arXiv Euclid
Ben Arous, Gérard; Bourgade, Paul Extreme gaps between eigenvalues of random matrices. (English) Zbl 1282.60008 Ann. Probab. 41, No. 4, 2648-2681 (2013). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 62G30 62G32 11M50 11M26 15B52 PDFBibTeX XMLCite \textit{G. Ben Arous} and \textit{P. Bourgade}, Ann. Probab. 41, No. 4, 2648--2681 (2013; Zbl 1282.60008) Full Text: DOI arXiv Euclid
Dette, Holger; Nagel, Jan Distributions on unbounded moment spaces and random moment sequences. (English) Zbl 1255.60032 Ann. Probab. 40, No. 6, 2690-2704 (2012). MSC: 60F05 30E05 15B52 PDFBibTeX XMLCite \textit{H. Dette} and \textit{J. Nagel}, Ann. Probab. 40, No. 6, 2690--2704 (2012; Zbl 1255.60032) Full Text: DOI arXiv Euclid
Tao, Terence; Vu, Van Random covariance matrices: universality of local statistics of eigenvalues. (English) Zbl 1247.15036 Ann. Probab. 40, No. 3, 1285-1315 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 62J10 60B20 PDFBibTeX XMLCite \textit{T. Tao} and \textit{V. Vu}, Ann. Probab. 40, No. 3, 1285--1315 (2012; Zbl 1247.15036) Full Text: DOI arXiv Euclid
O’Connell, Neil Directed polymers and the quantum Toda lattice. (English) Zbl 1245.82091 Ann. Probab. 40, No. 2, 437-458 (2012). MSC: 82D60 15B52 37K10 60J65 82B20 PDFBibTeX XMLCite \textit{N. O'Connell}, Ann. Probab. 40, No. 2, 437--458 (2012; Zbl 1245.82091) Full Text: DOI arXiv Euclid
Bose, Arup; Hazra, Rajat Subhra; Saha, Koushik Convergence of joint moments for independent random patterned matrices. (English) Zbl 1231.60006 Ann. Probab. 39, No. 4, 1607-1620 (2011). Reviewer: Michael Stolz (Bochum) MSC: 60B20 60B10 46L54 15B05 PDFBibTeX XMLCite \textit{A. Bose} et al., Ann. Probab. 39, No. 4, 1607--1620 (2011; Zbl 1231.60006) Full Text: DOI arXiv
Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil Spectrum of large random reversible Markov chains: heavy-tailed weights on the complete graph. (English) Zbl 1245.60008 Ann. Probab. 39, No. 4, 1544-1590 (2011). Reviewer: Vadim Gorin (Moskva) MSC: 60B20 15B52 47A10 PDFBibTeX XMLCite \textit{C. Bordenave} et al., Ann. Probab. 39, No. 4, 1544--1590 (2011; Zbl 1245.60008) Full Text: DOI arXiv
Bordenave, Charles; Lelarge, Marc; Salez, Justin The rank of diluted random graphs. (English) Zbl 1298.05283 Ann. Probab. 39, No. 3, 1097-1121 (2011). MSC: 05C80 15B52 47A10 PDFBibTeX XMLCite \textit{C. Bordenave} et al., Ann. Probab. 39, No. 3, 1097--1121 (2011; Zbl 1298.05283) Full Text: DOI arXiv
Benaych-Georges, Florent; Lévy, Thierry A continuous semigroup of notions of independence between the classical and the free one. (English) Zbl 1222.46049 Ann. Probab. 39, No. 3, 904-938 (2011). MSC: 46L54 15B52 46L53 PDFBibTeX XMLCite \textit{F. Benaych-Georges} and \textit{T. Lévy}, Ann. Probab. 39, No. 3, 904--938 (2011; Zbl 1222.46049) Full Text: DOI arXiv
Tao, Terence; Vu, Van; Krishnapur, Manjunath Random matrices: universality of ESDs and the circular law. (English) Zbl 1203.15025 Ann. Probab. 38, No. 5, 2023-2065 (2010). Reviewer: Tin Yau Tam (Auburn) MSC: 15B52 60F15 60B20 15A18 PDFBibTeX XMLCite \textit{T. Tao} et al., Ann. Probab. 38, No. 5, 2023--2065 (2010; Zbl 1203.15025) Full Text: DOI arXiv Backlinks: MO
Götze, Friedrich; Tikhomirov, Alexander The circular law for random matrices. (English) Zbl 1203.60010 Ann. Probab. 38, No. 4, 1444-1491 (2010). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60B20 60K35 15B52 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Tikhomirov}, Ann. Probab. 38, No. 4, 1444--1491 (2010; Zbl 1203.60010) Full Text: DOI arXiv
Lytova, A.; Pastur, L. Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. (English) Zbl 1180.15029 Ann. Probab. 37, No. 5, 1778-1840 (2009). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15B52 60F05 15A18 62J10 PDFBibTeX XMLCite \textit{A. Lytova} and \textit{L. Pastur}, Ann. Probab. 37, No. 5, 1778--1840 (2009; Zbl 1180.15029) Full Text: DOI arXiv
Bourgade, P. Conditional Haar measures on classical compact groups. (English) Zbl 1172.43005 Ann. Probab. 37, No. 4, 1566-1586 (2009). Reviewer: George Stoica (Saint John) MSC: 43A77 15B52 60F05 14G10 PDFBibTeX XMLCite \textit{P. Bourgade}, Ann. Probab. 37, No. 4, 1566--1586 (2009; Zbl 1172.43005) Full Text: DOI arXiv
Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. (English) Zbl 1205.60141 Ann. Probab. 37, No. 4, 1427-1458 (2009). MSC: 60J60 47D07 15A63 31C25 35R60 60H15 PDFBibTeX XMLCite \textit{V. Barbu} et al., Ann. Probab. 37, No. 4, 1427--1458 (2009; Zbl 1205.60141) Full Text: DOI arXiv
Wang, Dong The largest sample eigenvalue distribution in the rank 1 quaternionic spiked model of Wishart ensemble. (English) Zbl 1176.15047 Ann. Probab. 37, No. 4, 1273-1328 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 15B52 62P35 15A18 15B33 PDFBibTeX XMLCite \textit{D. Wang}, Ann. Probab. 37, No. 4, 1273--1328 (2009; Zbl 1176.15047) Full Text: DOI arXiv
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. (English) Zbl 1175.15028 Ann. Probab. 37, No. 3, 815-852 (2009). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B52 82B44 PDFBibTeX XMLCite \textit{L. Erdős} et al., Ann. Probab. 37, No. 3, 815--852 (2009; Zbl 1175.15028) Full Text: DOI arXiv
Evans, Steven N. Spectra of random linear combinations of matrices defined via representations and Coxeter generators of the symmetric group. (English) Zbl 1168.15017 Ann. Probab. 37, No. 2, 726-741 (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 20C30 60F05 PDFBibTeX XMLCite \textit{S. N. Evans}, Ann. Probab. 37, No. 2, 726--741 (2009; Zbl 1168.15017) Full Text: DOI arXiv
Krishnapur, Manjunath From random matrices to random analytic functions. (English) Zbl 1221.30007 Ann. Probab. 37, No. 1, 314-346 (2009). MSC: 30B20 15B52 60H25 PDFBibTeX XMLCite \textit{M. Krishnapur}, Ann. Probab. 37, No. 1, 314--346 (2009; Zbl 1221.30007) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Capitaine} et al., Ann. Probab. 37, No. 1, 1--47 (2009; Zbl 1163.15026) Full Text: DOI arXiv
Helton, J. William; Lasserre, Jean B.; Putinar, Mihai Measures with zeros in the inverse of their moment matrix. (English) Zbl 1169.15005 Ann. Probab. 36, No. 4, 1453-1471 (2008). Reviewer: Hu Yong-Jian (Beijing) MSC: 15B51 52A20 42C05 PDFBibTeX XMLCite \textit{J. W. Helton} et al., Ann. Probab. 36, No. 4, 1453--1471 (2008; Zbl 1169.15005) Full Text: DOI arXiv
Hägg, Jonas Local Gaussian fluctuations in the Airy and discrete PNG processes. (English) Zbl 1142.60025 Ann. Probab. 36, No. 3, 1059-1092 (2008). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G10 60G15 15B52 PDFBibTeX XMLCite \textit{J. Hägg}, Ann. Probab. 36, No. 3, 1059--1092 (2008; Zbl 1142.60025) Full Text: DOI arXiv
Collins, Benoît; Stolz, Michael Borel theorems for random matrices from the classical compact symmetric spaces. (English) Zbl 1149.15016 Ann. Probab. 36, No. 3, 876-895 (2008). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B52 60F05 60B15 43A75 PDFBibTeX XMLCite \textit{B. Collins} and \textit{M. Stolz}, Ann. Probab. 36, No. 3, 876--895 (2008; Zbl 1149.15016) Full Text: DOI arXiv
Guionnet, Alice; Maurel-Segala, Edouard Second order asymptotics for matrix models. (English) Zbl 1129.15020 Ann. Probab. 35, No. 6, 2160-2212 (2007). Reviewer: Václav Burjan (Praha) MSC: 15B52 05C30 60F05 PDFBibTeX XMLCite \textit{A. Guionnet} and \textit{E. Maurel-Segala}, Ann. Probab. 35, No. 6, 2160--2212 (2007; Zbl 1129.15020) Full Text: DOI arXiv Euclid
Bai, Z. D.; Miao, B. Q.; Pan, G. M. On asymptotics of eigenvectors of large sample covariance matrix. (English) Zbl 1162.15012 Ann. Probab. 35, No. 4, 1532-1572 (2007). Reviewer: Shuhuang Xiang (Changsha) MSC: 15B52 62E20 60F17 60F05 PDFBibTeX XMLCite \textit{Z. D. Bai} et al., Ann. Probab. 35, No. 4, 1532--1572 (2007; Zbl 1162.15012) Full Text: DOI arXiv
Rider, B.; Silverstein, Jack W. Gaussian fluctuations for non-Hermitian random matrix ensembles. (English) Zbl 1122.15022 Ann. Probab. 34, No. 6, 2118-2143 (2006). Reviewer: Václav Burjan (Praha) MSC: 15B52 60F05 PDFBibTeX XMLCite \textit{B. Rider} and \textit{J. W. Silverstein}, Ann. Probab. 34, No. 6, 2118--2143 (2006; Zbl 1122.15022) Full Text: DOI arXiv
El Karoui, Noureddine A rate of convergence result for the largest eigenvalue of complex white Wishart matrices. (English) Zbl 1108.62014 Ann. Probab. 34, No. 6, 2077-2117 (2006). MSC: 62E20 60F05 15B52 62H10 15A18 PDFBibTeX XMLCite \textit{N. El Karoui}, Ann. Probab. 34, No. 6, 2077--2117 (2006; Zbl 1108.62014) Full Text: DOI arXiv
Chatterjee, Sourav A generalization of the Lindeberg principle. (English) Zbl 1117.60034 Ann. Probab. 34, No. 6, 2061-2076 (2006). Reviewer: Ken-ichi Yoshihara (Tokyo) MSC: 60F17 60G09 15B52 PDFBibTeX XMLCite \textit{S. Chatterjee}, Ann. Probab. 34, No. 6, 2061--2076 (2006; Zbl 1117.60034) Full Text: DOI arXiv
Jiang, Tiefeng How many entries of a typical orthogonal matrix can be approximated by independent normals? (English) Zbl 1107.15018 Ann. Probab. 34, No. 4, 1497-1529 (2006). Reviewer: Martín Argerami (Regina) MSC: 15B52 60B15 60B10 60F05 62H10 PDFBibTeX XMLCite \textit{T. Jiang}, Ann. Probab. 34, No. 4, 1497--1529 (2006; Zbl 1107.15018) Full Text: DOI arXiv
Bryc, Włodzimierz; Dembo, Amir; Jiang, Tiefeng Spectral measure of large random Hankel, Markov and Toeplitz matrices. (English) Zbl 1094.15009 Ann. Probab. 34, No. 1, 1-38 (2006). Reviewer: Martín Argerami (Regina) MSC: 15B52 60F10 62H10 PDFBibTeX XMLCite \textit{W. Bryc} et al., Ann. Probab. 34, No. 1, 1--38 (2006; Zbl 1094.15009) Full Text: DOI arXiv
Johansson, Kurt The arctic circle boundary and the Airy process. (English) Zbl 1096.60039 Ann. Probab. 33, No. 1, 1-30 (2005). MSC: 60K35 15B52 33C90 52C20 82B20 PDFBibTeX XMLCite \textit{K. Johansson}, Ann. Probab. 33, No. 1, 1--30 (2005; Zbl 1096.60039) Full Text: DOI arXiv
Baik, Jinho; Ben Arous, Gérard; Péché, Sandrine Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. (English) Zbl 1086.15022 Ann. Probab. 33, No. 5, 1643-1697 (2005). Reviewer: Vadim I. Serdobol’skij (Moskva) MSC: 15B52 60B12 62E20 15A18 60E05 82B26 60K35 60K25 PDFBibTeX XMLCite \textit{J. Baik} et al., Ann. Probab. 33, No. 5, 1643--1697 (2005; Zbl 1086.15022) Full Text: DOI arXiv
Benaych-Georges, Florent Classical and free infinitely divisible distributions and random matrices. (English) Zbl 1076.15022 Ann. Probab. 33, No. 3, 1134-1170 (2005). Reviewer: Martín Argerami (Regina) MSC: 15B52 46L54 60E07 60F05 PDFBibTeX XMLCite \textit{F. Benaych-Georges}, Ann. Probab. 33, No. 3, 1134--1170 (2005; Zbl 1076.15022) Full Text: DOI arXiv
Bai, Z. D.; Silverstein, Jack W. CLT for linear spectral statistics of large-dimensional sample covariance matrices. (English) Zbl 1063.60022 Ann. Probab. 32, No. 1A, 553-605 (2004). Reviewer: Tae Il. Jeon (Taejon) MSC: 60F05 15B52 62G30 62H05 PDFBibTeX XMLCite \textit{Z. D. Bai} and \textit{J. W. Silverstein}, Ann. Probab. 32, No. 1A, 553--605 (2004; Zbl 1063.60022) Full Text: DOI
Wieand, Kelly Eigenvalue distributions of random permutation matrices. (English) Zbl 1044.15017 Ann. Probab. 28, No. 4, 1563-1587 (2000). MSC: 15B52 15A18 60C05 60F05 PDFBibTeX XMLCite \textit{K. Wieand}, Ann. Probab. 28, No. 4, 1563--1587 (2000; Zbl 1044.15017) Full Text: DOI
Soshnikov, Alexander The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities. (English) Zbl 1021.60018 Ann. Probab. 28, No. 3, 1353-1370 (2000). MSC: 60F05 15B52 60B15 PDFBibTeX XMLCite \textit{A. Soshnikov}, Ann. Probab. 28, No. 3, 1353--1370 (2000; Zbl 1021.60018) Full Text: DOI arXiv
O’Cinneide, Colm Markov additive processes and Perron-Frobenius eigenvalue inequalities. (English) Zbl 1025.15027 Ann. Probab. 28, No. 3, 1230-1258 (2000). MSC: 15A42 15B48 60E15 60G40 60J27 PDFBibTeX XMLCite \textit{C. O'Cinneide}, Ann. Probab. 28, No. 3, 1230--1258 (2000; Zbl 1025.15027) Full Text: DOI
Bai, Z. D.; Silverstein, Jack W. Exact separation of eigenvalues of large dimensional sample covariance matrices. (English) Zbl 0964.60041 Ann. Probab. 27, No. 3, 1536-1555 (1999). Reviewer: Alexei Khorunzhy (Paris) MSC: 60F99 15B52 PDFBibTeX XMLCite \textit{Z. D. Bai} and \textit{J. W. Silverstein}, Ann. Probab. 27, No. 3, 1536--1555 (1999; Zbl 0964.60041) Full Text: DOI
Boutet de Monvel, Anne; Khorunzhy, Alexei On the norm and eigenvalue distribution of large random matrices. (English) Zbl 0941.15021 Ann. Probab. 27, No. 2, 913-944 (1999). Reviewer: Vadim I.Serdobol’skij (Moskva) MSC: 15B52 15A18 60B10 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} and \textit{A. Khorunzhy}, Ann. Probab. 27, No. 2, 913--944 (1999; Zbl 0941.15021) Full Text: DOI
Rodríguez del Tío, P.; Valsero Blanco, M. C. A characterization of reversible Markov chains by a rotational representation. (English) Zbl 0727.60074 Ann. Probab. 19, No. 2, 605-608 (1991). MSC: 60J10 15B51 PDFBibTeX XMLCite \textit{P. Rodríguez del Tío} and \textit{M. C. Valsero Blanco}, Ann. Probab. 19, No. 2, 605--608 (1991; Zbl 0727.60074) Full Text: DOI
Cohn, Harry; Nerman, Olle On products of nonnegative matrices. (English) Zbl 0719.60037 Ann. Probab. 18, No. 4, 1806-1815 (1990). Reviewer: Sh.Ebralidze (Tbilisi) MSC: 60F99 15B48 60J05 60J45 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{O. Nerman}, Ann. Probab. 18, No. 4, 1806--1815 (1990; Zbl 0719.60037) Full Text: DOI
Geman, Stuart The spectral radius of large random matrices. (English) Zbl 0605.60037 Ann. Probab. 14, 1318-1328 (1986). Reviewer: Z.Rychlik MSC: 60F15 15B52 PDFBibTeX XMLCite \textit{S. Geman}, Ann. Probab. 14, 1318--1328 (1986; Zbl 0605.60037) Full Text: DOI
Silverstein, Jack W. The smallest eigenvalue of a large dimensional Wishart matrix. (English) Zbl 0591.60025 Ann. Probab. 13, 1364-1368 (1985). Reviewer: Ch.Hipp MSC: 60F15 62H99 15B52 PDFBibTeX XMLCite \textit{J. W. Silverstein}, Ann. Probab. 13, 1364--1368 (1985; Zbl 0591.60025) Full Text: DOI
Haigh, John Rotational representations of stochastic matrices. (English) Zbl 0573.15013 Ann. Probab. 13, 1024-1027 (1985). Reviewer: R.Sinkhorn MSC: 15B51 60J10 28D05 PDFBibTeX XMLCite \textit{J. Haigh}, Ann. Probab. 13, 1024--1027 (1985; Zbl 0573.15013) Full Text: DOI
Cohen, Joel E.; Newman, Charles M. The stability of large random matrices and their products. (English) Zbl 0543.60098 Ann. Probab. 12, 283-310 (1984). Reviewer: T.Kaijser MSC: 60K99 60B15 15B52 60F99 92D40 93D05 PDFBibTeX XMLCite \textit{J. E. Cohen} and \textit{C. M. Newman}, Ann. Probab. 12, 283--310 (1984; Zbl 0543.60098) Full Text: DOI
Alpern, Steve Rotational representations of stochastic matrices. (English) Zbl 0548.15018 Ann. Probab. 11, 789-794 (1983). Reviewer: P.M.Gibson MSC: 15B51 PDFBibTeX XMLCite \textit{S. Alpern}, Ann. Probab. 11, 789--794 (1983; Zbl 0548.15018) Full Text: DOI
Cohen, Joel E. A geometric representation of a stochastic matrix: Theorem and conjecture. (English) Zbl 0469.15009 Ann. Probab. 9, 899-901 (1981). MSC: 15B51 15B48 60J10 28D05 PDFBibTeX XMLCite \textit{J. E. Cohen}, Ann. Probab. 9, 899--901 (1981; Zbl 0469.15009) Full Text: DOI
Csiszar, I. I-divergence geometry of probability distributions and minimization problems. (English) Zbl 0318.60013 Ann. Probab. 3, 146-158 (1975). MSC: 60E05 62B10 49Q20 15B48 PDFBibTeX XMLCite \textit{I. Csiszar}, Ann. Probab. 3, 146--158 (1975; Zbl 0318.60013) Full Text: DOI