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70 Publications


2020 | Journal Article | 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.” Communications in Mathematical Physics, 2020, 50. https://doi.org/10.1007/s00220-019-03657-4.
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2020 | Journal Article | IST-REx-ID: 7512 | OA
Erdös, László, Torben H Krüger, and Yuriy Nemish. “Local Laws for Polynomials of Wigner Matrices.” Journal of Functional Analysis, n.d., 108507. https://doi.org/10.1016/j.jfa.2020.108507.
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2020 | Journal Article | IST-REx-ID: 7618 | OA
Pitrik, Jozsef, and Daniel Virosztek. “Quantum Hellinger Distances Revisited.” Letters in Mathematical Physics 110, no. 8 (2020): 2039–52. https://doi.org/10.1007/s11005-020-01282-0.
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2020 | Journal Article | IST-REx-ID: 7389 | OA
Geher, Gyorgy Pal, Tamas Titkos, and Daniel Virosztek. “Isometric Study of Wasserstein Spaces - the Real Line.” Transactions of the American Mathematical Society 373, no. 8 (2020): 5855–83. https://doi.org/10.1090/tran/8113.
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2020 | Journal Article | IST-REx-ID: 6184 | OA
Alt, Johannes, László Erdös, Torben H Krüger, and Dominik J Schröder. “Correlated Random Matrices: Band Rigidity and Edge Universality.” Annals of Probability 48, no. 2 (2020): 963–1001.
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2019 | 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 173, no. 1–2 (2019): 293–373. https://doi.org/10.1007/s00440-018-0835-z.
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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: 6182 | OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Random Matrices with Slow Correlation Decay.” Forum of Mathematics, Sigma 7 (2019). https://doi.org/10.1017/fms.2019.2.
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2019 | Journal Article | 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.” Pure and Applied Analysis 1, no. 4 (2019): 615–707. https://doi.org/10.2140/paa.2019.1.615.
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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: 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 | 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: 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 (2019): 123435. https://doi.org/10.1016/j.jmaa.2019.123435.
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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: 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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2019 | Journal Article | IST-REx-ID: 7423 | OA
Akemann, Gernot, Tomasz Checinski, Dangzheng Liu, and Eugene Strahov. “Finite Rank Perturbations in Products of Coupled Random Matrices: From One Correlated to Two Wishart Ensembles.” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 55, no. 1 (2019): 441–79. https://doi.org/10.1214/18-aihp888.
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2019 | Conference Paper | IST-REx-ID: 8175 | OA
Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” In Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. Formal Power Series and Algebraic Combinatorics, 2019.
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2019 | Thesis | IST-REx-ID: 6179 | OA
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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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: 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 I.” 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: 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 | 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, n.d.
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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: 1012 | OA
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 | Thesis | IST-REx-ID: 149 | OA
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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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: 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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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). 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: 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: 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: 1010 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Law for Random Gram Matrices.” Electronic Journal of Probability 22 (2017). https://doi.org/10.1214/17-EJP42.
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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: 1144 | OA
Erdös, László, and Dominik J Schröder. “Fluctuations of Functions of Wigner Matrices.” Electronic Communications in Probability 21 (2017). https://doi.org/10.1214/16-ECP38.
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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: 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: 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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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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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: 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: 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: 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: 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: 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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