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70 Publications
2020 | Journal Article | IST-REx-ID: 6185 | 
Cusp universality for random matrices I: Local law and the complex hermitian case
L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics (2020) 50.
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L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics (2020) 50.
2020 | Journal Article | IST-REx-ID: 7512 |
Local laws for polynomials of Wigner matrices
L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis (n.d.) 108507.
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L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis (n.d.) 108507.
2020 | Journal Article | IST-REx-ID: 7618 |
Quantum Hellinger distances revisited
J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.
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J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.
2020 | Journal Article | IST-REx-ID: 7389 |
Isometric study of Wasserstein spaces - the real line
G.P. Geher, T. Titkos, D. Virosztek, Transactions of the American Mathematical Society 373 (2020) 5855–5883.
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G.P. Geher, T. Titkos, D. Virosztek, Transactions of the American Mathematical Society 373 (2020) 5855–5883.
2020 | Journal Article | IST-REx-ID: 6184 |
Correlated random matrices: Band rigidity and edge universality
J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001.
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J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001.
2019 | Journal Article | IST-REx-ID: 429 |
Stability of the matrix Dyson equation and random matrices with correlations
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373.
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O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373.
2019 | Journal Article | IST-REx-ID: 6086 |
Singular analytic linear cocycles with negative infinite Lyapunov exponents
C. Sadel, D. Xu, Ergodic Theory and Dynamical Systems 39 (2019) 1082–1098.
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C. Sadel, D. Xu, Ergodic Theory and Dynamical Systems 39 (2019) 1082–1098.
2019 | Journal Article | IST-REx-ID: 6182 |
Random matrices with slow correlation decay
L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).
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L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).
2019 | Journal Article | IST-REx-ID: 6186 |
Cusp universality for random matrices, II: The real symmetric case
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
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G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
2019 | Journal Article | IST-REx-ID: 6240 |
Location of the spectrum of Kronecker random matrices
J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.
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J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.
2019 | Journal Article | IST-REx-ID: 6488 |
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application (2019).
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G. Cipolloni, L. Erdös, Random Matrices: Theory and Application (2019).
2019 | Journal Article | IST-REx-ID: 6511 |
Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
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Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
2019 | Journal Article | IST-REx-ID: 405 |
Jointly convex quantum Jensen divergences
D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.
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D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.
2019 | Journal Article | IST-REx-ID: 6843 |
On isometric embeddings of Wasserstein spaces – the discrete case
G.P. Gehér, T. Titkos, D. Virosztek, Journal of Mathematical Analysis and Applications 480 (2019) 123435.
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G.P. Gehér, T. Titkos, D. Virosztek, Journal of Mathematical Analysis and Applications 480 (2019) 123435.
2019 | Conference Paper | IST-REx-ID: 7035 |
Dirac masses and isometric rigidity
G.P. Geher, T. Titkos, D. Virosztek, in:, Kyoto RIMS Kôkyûroku, Research Institute for Mathematical Sciences, Kyoto University, 2019, pp. 34–41.
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G.P. Geher, T. Titkos, D. Virosztek, in:, Kyoto RIMS Kôkyûroku, Research Institute for Mathematical Sciences, Kyoto University, 2019, pp. 34–41.
2019 | Journal Article | IST-REx-ID: 72 |
Limit law of a second class particle in TASEP with non-random initial condition
P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.
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P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.
2019 | Journal Article | IST-REx-ID: 7423 |
Finite rank perturbations in products of coupled random matrices: From one correlated to two Wishart ensembles
G. Akemann, T. Checinski, D. Liu, E. Strahov, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 55 (2019) 441–479.
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G. Akemann, T. Checinski, D. Liu, E. Strahov, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 55 (2019) 441–479.
2019 | Conference Paper | IST-REx-ID: 8175 |
New edge asymptotics of skew Young diagrams via free boundaries
D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, 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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D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019.
2019 | Thesis | IST-REx-ID: 6179 |
From Dyson to Pearcey: Universal statistics in random matrix theory
D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, IST Austria, 2019.
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D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, IST Austria, 2019.
2018 | Journal Article | IST-REx-ID: 181 |
Power law decay for systems of randomly coupled differential equations
L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.
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L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.
2018 | Journal Article | IST-REx-ID: 284 |
Maps on probability measures preserving certain distances - a survey and some new results
D. Virosztek, Acta Scientiarum Mathematicarum (Szeged) 84 (2018) 65–80.
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D. Virosztek, Acta Scientiarum Mathematicarum (Szeged) 84 (2018) 65–80.
2018 | Journal Article | IST-REx-ID: 556 |
The free boundary Schur process and applications I
D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
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D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
2018 | Journal Article | IST-REx-ID: 566 |
Local inhomogeneous circular law
J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability 28 (2018) 148–203.
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J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability 28 (2018) 148–203.
2018 | Journal Article | IST-REx-ID: 5971 |
Bounds on the norm of Wigner-type random matrices
L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
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L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
2018 | Preprint | IST-REx-ID: 6183 |
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, (n.d.).
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J. Alt, L. Erdös, T.H. Krüger, (n.d.).
2018 | Journal Article | IST-REx-ID: 690 |
Local law and Tracy–Widom limit for sparse random matrices
J. Lee, K. Schnelli, Probability Theory and Related Fields 171 (2018).
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J. Lee, K. Schnelli, Probability Theory and Related Fields 171 (2018).
2018 | Journal Article | IST-REx-ID: 70 |
Transition to shocks in TASEP and decoupling of last passage times
P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.
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P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.
2018 | Journal Article | IST-REx-ID: 1012 |
Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues
L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
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L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
2018 | Thesis | IST-REx-ID: 149 |
Dyson equation and eigenvalue statistics of random matrices
J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, IST Austria, 2018.
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J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, IST Austria, 2018.
2017 | Journal Article | IST-REx-ID: 447 |
Fluctuations of the competition interface in presence of shocks
P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
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P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
2017 | Journal Article | IST-REx-ID: 483 |
Universality for a class of random band matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Advances in Theoretical and Mathematical Physics 21 (2017) 739–800.
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P. Bourgade, L. Erdös, H. Yau, J. Yin, Advances in Theoretical and Mathematical Physics 21 (2017) 739–800.
2017 | Journal Article | IST-REx-ID: 550 |
Singularities of the density of states of random Gram matrices
J. Alt, Electronic Communications in Probability 22 (2017).
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J. Alt, Electronic Communications in Probability 22 (2017).
2017 | Book | IST-REx-ID: 567
A dynamical approach to random matrix theory
L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
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L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
2017 | Journal Article | IST-REx-ID: 615 |
Universality for random matrix flows with time dependent density
L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.
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L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.
2017 | Journal Article | IST-REx-ID: 721 |
Singularities of solutions to quadratic vector equations on the complex upper half plane
O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705.
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O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705.
2017 | Journal Article | IST-REx-ID: 733 |
Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
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Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
2017 | Journal Article | IST-REx-ID: 1010 |
Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
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J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
2017 | Journal Article | IST-REx-ID: 1023 |
Local law for the product of independent non-Hermitian random matrices with independent entries
Y. Nemish, Electronic Journal of Probability 22 (2017).
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Y. Nemish, Electronic Journal of Probability 22 (2017).
2017 | Journal Article | IST-REx-ID: 1144 |
Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
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L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
2017 | Journal Article | IST-REx-ID: 1207 |
Local law of addition of random matrices on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
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Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
2017 | Journal Article | IST-REx-ID: 1337 |
Universality for general Wigner-type matrices
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
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O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
2017 | Journal Article | IST-REx-ID: 1528 |
Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
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Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
2016 | Journal Article | IST-REx-ID: 1881 |
Extremal eigenvalues and eigenvectors of deformed Wigner matrices
J. Lee, K. Schnelli, Probability Theory and Related Fields 164 (2016) 165–241.
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J. Lee, K. Schnelli, Probability Theory and Related Fields 164 (2016) 165–241.
2016 | Journal Article | IST-REx-ID: 1157 |
Tracy-widom distribution for the largest eigenvalue of real sample covariance matrices with general population
J. Lee, K. Schnelli, Annals of Applied Probability 26 (2016) 3786–3839.
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J. Lee, K. Schnelli, Annals of Applied Probability 26 (2016) 3786–3839.
2016 | Journal Article | IST-REx-ID: 1219 |
Bulk universality for deformed wigner matrices
J. Lee, K. Schnelli, B. Stetler, H. Yau, Annals of Probability 44 (2016) 2349–2425.
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J. Lee, K. Schnelli, B. Stetler, H. Yau, Annals of Probability 44 (2016) 2349–2425.
2016 | Journal Article | IST-REx-ID: 1223 |
Localization for transversally periodic random potentials on binary trees
R. Froese, D. Lee, C. Sadel, W. Spitzer, G. Stolz, Journal of Spectral Theory 6 (2016) 557–600.
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R. Froese, D. Lee, C. Sadel, W. Spitzer, G. Stolz, Journal of Spectral Theory 6 (2016) 557–600.
2016 | Journal Article | IST-REx-ID: 1257 |
A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes
C. Sadel, B. Virág, Communications in Mathematical Physics 343 (2016) 881–919.
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C. Sadel, B. Virág, Communications in Mathematical Physics 343 (2016) 881–919.
2016 | Journal Article | IST-REx-ID: 1280 |
Fixed energy universality for generalized wigner matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Communications on Pure and Applied Mathematics 69 (2016) 1815–1881.
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P. Bourgade, L. Erdös, H. Yau, J. Yin, Communications on Pure and Applied Mathematics 69 (2016) 1815–1881.
2016 | Journal Article | IST-REx-ID: 1434 |
Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
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Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
2016 | Journal Article | IST-REx-ID: 1489 |
Local spectral statistics of Gaussian matrices with correlated entries
O.H. Ajanki, L. Erdös, T.H. Krüger, Journal of Statistical Physics 163 (2016) 280–302.
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O.H. Ajanki, L. Erdös, T.H. Krüger, Journal of Statistical Physics 163 (2016) 280–302.