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65 Publications


2019 | Journal Article | IST-REx-ID: 6488   OA
Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices: Theory and Application, 2019. https://doi.org/10.1142/S2010326320500069.
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2019 | Thesis | IST-REx-ID: 6179
Schröder, Dominik J. From Dyson to Pearcey: Universal Statistics in Random Matrix Theory. IST Austria, 2019. https://doi.org/10.15479/AT:ISTA:th6179.
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2019 | Journal Article | IST-REx-ID: 6511   OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Single Ring Theorem on Optimal Scale.” Annals of Probability 47, no. 3 (2019): 1270–1334. https://doi.org/10.1214/18-AOP1284.
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2019 | Journal Article | IST-REx-ID: 405   OA
Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” Linear Algebra and Its Applications 576 (2019): 67–78. https://doi.org/10.1016/j.laa.2018.03.002.
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2019 | Journal Article | IST-REx-ID: 6086   OA
Sadel, Christian, and Disheng Xu. “Singular Analytic Linear Cocycles with Negative Infinite Lyapunov Exponents.” Ergodic Theory and Dynamical Systems 39, no. 4 (2019): 1082–98. https://doi.org/10.1017/etds.2017.52.
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2019 | Journal Article | IST-REx-ID: 6240   OA
Alt, Johannes, László Erdös, Torben H Krüger, and Yuriy Nemish. “Location of the Spectrum of Kronecker Random Matrices.” Annales de l’institut Henri Poincare 55, no. 2 (2019): 661–96. https://doi.org/10.1214/18-AIHP894.
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2019 | Journal Article | IST-REx-ID: 6182   OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Random Matrices with Slow Correlation Decay.” Forum of Mathematics, Sigma 7 (2019): e8. https://doi.org/10.1017/fms.2019.2.
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2019 | Conference Paper | IST-REx-ID: 7035   OA
Geher, Gyorgy Pal, Tamas Titkos, and Daniel Virosztek. “Dirac Masses and Isometric Rigidity.” In Kyoto RIMS Kôkyûroku, 2125:34–41. Research Institute for Mathematical Sciences, Kyoto University, 2019.
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2019 | Journal Article | IST-REx-ID: 6843   OA
Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “On Isometric Embeddings of Wasserstein Spaces – the Discrete Case.” Journal of Mathematical Analysis and Applications 480, no. 2 (n.d.). https://doi.org/10.1016/j.jmaa.2019.123435.
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2019 | Journal Article | IST-REx-ID: 72   OA
Ferrari, Patrick, Promit Ghosal, and Peter Nejjar. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.” Annales de l’institut Henri Poincare (B) Probability and Statistics 55, no. 3 (2019): 1203–25. https://doi.org/10.1214/18-AIHP916.
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2018 | Journal Article | IST-REx-ID: 181   OA
Erdös, László, Torben H Krüger, and David T Renfrew. “Power Law Decay for Systems of Randomly Coupled Differential Equations.” SIAM Journal on Mathematical Analysis 50, no. 3 (2018): 3271–90. https://doi.org/10.1137/17M1143125.
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2018 | Journal Article | IST-REx-ID: 566   OA
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Inhomogeneous Circular Law.” Annals Applied Probability 28, no. 1 (2018): 148–203. https://doi.org/10.1214/17-AAP1302.
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2018 | Preprint | IST-REx-ID: 6185   OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case.” ArXiv, n.d.
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2018 | Thesis | IST-REx-ID: 149
Alt, Johannes. Dyson Equation and Eigenvalue Statistics of Random Matrices. IST Austria, 2018. https://doi.org/10.15479/AT:ISTA:TH_1040.
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2018 | Preprint | IST-REx-ID: 6186   OA
Cipolloni, Giorgio, László Erdös, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices II: The Real Symmetric Case.” ArXiv, n.d.
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2018 | Journal Article | IST-REx-ID: 284   OA
Virosztek, Daniel. “Maps on Probability Measures Preserving Certain Distances - a Survey and Some New Results.” Acta Scientiarum Mathematicarum (Szeged) 84, no. 1–2 (2018): 65–80. https://doi.org/10.14232/actasm-018-753-y.
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2018 | Journal Article | IST-REx-ID: 556   OA
Betea, Dan, Jeremie Bouttier, Peter Nejjar, and Mirjana Vuletic. “The Free Boundary Schur Process and Applications.” Annales Henri Poincare 19, no. 12 (2018): 3663–3742. https://doi.org/10.1007/s00023-018-0723-1.
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2018 | Journal Article | IST-REx-ID: 1012
Erdös, László, and Dominik J Schröder. “Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues.” International Mathematics Research Notices 2018, no. 10 (2018): 3255–98. https://doi.org/10.1093/imrn/rnw330.
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2018 | Journal Article | IST-REx-ID: 690   OA
Lee, Jii, and Kevin Schnelli. “Local Law and Tracy–Widom Limit for Sparse Random Matrices.” Probability Theory and Related Fields 171, no. 1–2 (2018). https://doi.org/10.1007/s00440-017-0787-8.
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2018 | Journal Article | IST-REx-ID: 70   OA
Nejjar, Peter. “Transition to Shocks in TASEP and Decoupling of Last Passage Times.” Latin American Journal of Probability and Mathematical Statistics 15, no. 2 (2018): 1311–34. https://doi.org/10.30757/ALEA.v15-49.
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2018 | Journal Article | IST-REx-ID: 429   OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” Probability Theory and Related Fields, 2018. https://doi.org/10.1007/s00440-018-0835-z.
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2018 | Journal Article | IST-REx-ID: 5971   OA
Erdös, László, and Peter Mühlbacher. “Bounds on the Norm of Wigner-Type Random Matrices.” Random Matrices: Theory and Applications, 2018. https://doi.org/10.1142/s2010326319500096.
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2018 | Preprint | IST-REx-ID: 6183   OA
Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and  Cusps.” ArXiv:1804.07752, n.d.
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2018 | Preprint | IST-REx-ID: 6184   OA
Alt, Johannes, László Erdös, Torben H Krüger, and Dominik J Schröder. “Correlated Random Matrices: Band Rigidity and Edge Universality.” ArXiv:1804.07744, n.d.
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2017 | Journal Article | IST-REx-ID: 1010
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Law for Random Gram Matrices.” Electronic Journal of Probability 22 (2017): 25. https://doi.org/10.1214/17-EJP42.
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2017 | Journal Article | IST-REx-ID: 1337   OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Universality for General Wigner-Type Matrices.” Probability Theory and Related Fields 169, no. 3–4 (2017): 667–727. https://doi.org/10.1007/s00440-016-0740-2.
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2017 | Journal Article | IST-REx-ID: 1023   OA
Nemish, Yuriy. “Local Law for the Product of Independent Non-Hermitian Random Matrices with Independent Entries.” Electronic Journal of Probability 22 (2017). https://doi.org/10.1214/17-EJP38.
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2017 | Journal Article | IST-REx-ID: 1528   OA
Bao, Zhigang, and László Erdös. “Delocalization for a Class of Random Block Band Matrices.” Probability Theory and Related Fields 167, no. 3–4 (2017): 673–776. https://doi.org/10.1007/s00440-015-0692-y.
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2017 | Journal Article | IST-REx-ID: 447   OA
Ferrari, Patrik, and Peter Nejjar. “Fluctuations of the Competition Interface in Presence of Shocks.” Revista Latino-Americana de Probabilidade e Estatística 9 (2017): 299–325.
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2017 | Journal Article | IST-REx-ID: 550   OA
Alt, Johannes. “Singularities of the Density of States of Random Gram Matrices.” Electronic Communications in Probability 22 (2017): 63. https://doi.org/10.1214/17-ECP97.
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2017 | Book | IST-REx-ID: 567
Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28. Courant Lecture Notes. American Mathematical Society, 2017.
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2017 | Journal Article | IST-REx-ID: 721   OA
Ajanki, Oskari H, Torben H Krüger, and László Erdös. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.” Communications on Pure and Applied Mathematics 70, no. 9 (2017): 1672–1705. https://doi.org/10.1002/cpa.21639.
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2017 | Journal Article | IST-REx-ID: 733   OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.” Advances in Mathematics 319 (2017): 251–91. https://doi.org/10.1016/j.aim.2017.08.028.
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2017 | Journal Article | IST-REx-ID: 1207   OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition of Random Matrices on Optimal Scale.” Communications in Mathematical Physics 349, no. 3 (2017): 947–90. https://doi.org/10.1007/s00220-016-2805-6.
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2017 | Journal Article | IST-REx-ID: 1144
Erdös, László, and Dominik J Schröder. “Fluctuations of Functions of Wigner Matrices.” Electronic Communications in Probability 21 (2017): 86. https://doi.org/10.1214/16-ECP38.
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2017 | Journal Article | IST-REx-ID: 615   OA
Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” Annales de l’institut Henri Poincare (B) Probability and Statistics 53, no. 4 (2017): 1606–56. https://doi.org/10.1214/16-AIHP765.
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2017 | Journal Article | IST-REx-ID: 483   OA
Bourgade, Paul, László Erdös, Horng Yau, and Jun Yin. “Universality for a Class of Random Band Matrices.” Advances in Theoretical and Mathematical Physics 21, no. 3 (2017): 739–800. https://doi.org/10.4310/ATMP.2017.v21.n3.a5.
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2016 | Journal Article | IST-REx-ID: 1434   OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Stability of the Free Additive Convolution.” Journal of Functional Analysis 271, no. 3 (2016): 672–719. https://doi.org/10.1016/j.jfa.2016.04.006.
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2016 | Journal Article | IST-REx-ID: 1489   OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.” Journal of Statistical Physics 163, no. 2 (2016): 280–302. https://doi.org/10.1007/s10955-016-1479-y.
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2016 | Journal Article | IST-REx-ID: 1219   OA
Lee, Jioon, Kevin Schnelli, Ben Stetler, and Horngtzer Yau. “Bulk Universality for Deformed Wigner Matrices.” Annals of Probability 44, no. 3 (2016): 2349–2425. https://doi.org/10.1214/15-AOP1023.
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2016 | Journal Article | IST-REx-ID: 1257   OA
Sadel, Christian, and Bálint Virág. “A Central Limit Theorem for Products of Random Matrices and GOE Statistics for the Anderson Model on Long Boxes.” Communications in Mathematical Physics 343, no. 3 (2016): 881–919. https://doi.org/10.1007/s00220-016-2600-4.
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2016 | Journal Article | IST-REx-ID: 1157   OA
Lee, Ji, and Kevin Schnelli. “Tracy-Widom Distribution for the Largest Eigenvalue of Real Sample Covariance Matrices with General Population.” Annals of Applied Probability 26, no. 6 (2016): 3786–3839. https://doi.org/10.1214/16-AAP1193.
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2016 | Journal Article | IST-REx-ID: 1223   OA
Froese, Richard, Darrick Lee, Christian Sadel, Wolfgang Spitzer, and Günter Stolz. “Localization for Transversally Periodic Random Potentials on Binary Trees.” Journal of Spectral Theory 6, no. 3 (2016): 557–600. https://doi.org/10.4171/JST/132.
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2016 | Journal Article | IST-REx-ID: 1280   OA
Bourgade, Paul, László Erdös, Horngtzer Yau, and Jun Yin. “Fixed Energy Universality for Generalized Wigner Matrices.” Communications on Pure and Applied Mathematics 69, no. 10 (2016): 1815–81. https://doi.org/10.1002/cpa.21624.
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2016 | Journal Article | IST-REx-ID: 1608   OA
Sadel, Christian. “Anderson Transition at 2 Dimensional Growth Rate on Antitrees and Spectral Theory for Operators with One Propagating Channel.” Annales Henri Poincare 17, no. 7 (2016): 1631–75. https://doi.org/10.1007/s00023-015-0456-3.
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2016 | Journal Article | IST-REx-ID: 1881   OA
Lee, Jioon, and Kevin Schnelli. “Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices.” Probability Theory and Related Fields 164, no. 1–2 (2016): 165–241. https://doi.org/10.1007/s00440-014-0610-8.
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2015 | Journal Article | IST-REx-ID: 1508   OA
Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and β Ensembles.” Journal of the European Mathematical Society 17, no. 8 (2015): 1927–2036. https://doi.org/10.4171/JEMS/548.
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2015 | Journal Article | IST-REx-ID: 1585
Bao, Zhigang, Guangming Pan, and Wang Zhou. “Asymptotic Mutual Information Statistics of MIMO Channels and CLT of Sample Covariance Matrices.” IEEE Transactions on Information Theory 61, no. 6 (2015): 3413–26. https://doi.org/10.1109/TIT.2015.2421894.
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2015 | Journal Article | IST-REx-ID: 1674   OA
Lee, Jioon, and Kevin Schnelli. “Edge Universality for Deformed Wigner Matrices.” Reviews in Mathematical Physics 27, no. 8 (2015). https://doi.org/10.1142/S0129055X1550018X.
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2015 | Journal Article | IST-REx-ID: 1864   OA
Erdös, László, and Antti Knowles. “The Altshuler–Shklovskii Formulas for Random Band Matrices II: The General Case.” Annales Henri Poincare 16, no. 3 (2015): 709–99. https://doi.org/10.1007/s00023-014-0333-5.
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2015 | Journal Article | IST-REx-ID: 1505   OA
Bao, Zhigang, Guangming Pan, and Wang Zhou. “Universality for the Largest Eigenvalue of Sample Covariance Matrices with General Population.” Annals of Statistics 43, no. 1 (2015): 382–421. https://doi.org/10.1214/14-AOS1281.
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2015 | Journal Article | IST-REx-ID: 2166   OA
Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random Band Matrices I: The Unimodular Case.” Communications in Mathematical Physics 333, no. 3 (2015): 1365–1416. https://doi.org/10.1007/s00220-014-2119-5.
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2015 | Journal Article | IST-REx-ID: 1506   OA
Bao, Zhigang, Guangming Pan, and Wang Zhou. “The Logarithmic Law of Random Determinant.” Bernoulli 21, no. 3 (2015): 1600–1628. https://doi.org/10.3150/14-BEJ615.
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2015 | Journal Article | IST-REx-ID: 1677   OA
Alt, Johannes. “The Local Semicircle Law for Random Matrices with a Fourfold Symmetry.” Journal of Mathematical Physics 56, no. 10 (2015). https://doi.org/10.1063/1.4932606.
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2015 | Journal Article | IST-REx-ID: 1824   OA
Knebel, Johannes, Markus Weber, Torben H Krüger, and Erwin Frey. “Evolutionary Games of Condensates in Coupled Birth-Death Processes.” Nature Communications 6 (2015). https://doi.org/10.1038/ncomms7977.
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2014 | Journal Article | IST-REx-ID: 1926
Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-Strips.” Mathematical Physics, Analysis and Geometry 17, no. 3–4 (2014): 409–40. https://doi.org/10.1007/s11040-014-9163-4.
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2014 | Journal Article | IST-REx-ID: 2019   OA
Erdös, László, and Dominik J Schröder. “Phase Transition in the Density of States of Quantum Spin Glasses.” Mathematical Physics, Analysis and Geometry 17, no. 3–4 (2014): 441–64. https://doi.org/10.1007/s11040-014-9164-3.
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2014 | Journal Article | IST-REx-ID: 2179   OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Semicircle Law with Imprimitive Variance Matrix.” Electronic Communications in Probability 19 (2014). https://doi.org/10.1214/ECP.v19-3121.
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2014 | Journal Article | IST-REx-ID: 2225   OA
Bloemendal, Alex, László Erdös, Antti Knowles, Horng Yau, and Jun Yin. “Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices.” Electronic Journal of Probability 19 (2014): 33. https://doi.org/10.1214/EJP.v19-3054.
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2014 | Conference Paper | IST-REx-ID: 1507   OA
Erdös, László. “Random Matrices, Log-Gases and Hölder Regularity,” 3:214–36. Kyung Moon SA Co. Ltd., 2014.
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2014 | Journal Article | IST-REx-ID: 1937   OA
Bourgade, Paul, László Erdös, and Horngtzer Yau. “Edge Universality of Beta Ensembles.” Communications in Mathematical Physics 332, no. 1 (2014): 261–353. https://doi.org/10.1007/s00220-014-2120-z.
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2014 | Journal Article | IST-REx-ID: 2699   OA
Erdös, László, Paul Bourgade, and Horng Yau. “Universality of General β-Ensembles.” Duke Mathematical Journal 163, no. 6 (2014): 1127–90. https://doi.org/10.1215/00127094-2649752.
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2013 | Journal Article | IST-REx-ID: 2837   OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “The Local Semicircle Law for a General Class of Random Matrices.” Electronic Journal of Probability 18, no. 59 (2013): 1–58. https://doi.org/10.1214/EJP.v18-2473.
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2013 | Journal Article | IST-REx-ID: 2782   OA
Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General MANOVA Matrices.” Journal of Statistical Physics 152, no. 6 (2013): 1003–32. https://doi.org/10.1007/s10955-013-0807-8.
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2013 | Journal Article | IST-REx-ID: 2698   OA
Erdös, László, Søren Fournais, and Jan Solovej. “Stability and Semiclassics in Self-Generated Fields.” Journal of the European Mathematical Society 15, no. 6 (2013): 2093–2113. https://doi.org/10.4171/JEMS/416.
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