On the operator norm of a Hermitian random matrix with correlated entries
J. Reker, Random Matrices: Theory and Applications 11 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/11135
DOI: 10.1142/s2010326322500368
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arXiv: 2103.03906

Convergence rate to the Tracy–Widom laws for the largest Eigenvalue of Wigner matrices
K. Schnelli, Y. Xu, Communications in Mathematical Physics 393 (2022) 839–907.
LibreCat: https://research-explorer.ista.ac.at/record/11332
DOI: 10.1007/s00220-022-04377-y
WoS: 000782737200001
arXiv: 2102.04330

Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
LibreCat: https://research-explorer.ista.ac.at/record/11418
DOI: 10.1214/21-AOP1552
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arXiv: 2103.06730

Interior-boundary conditions for the Dirac equation at point sources in three dimensions
S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/12110
DOI: 10.1063/5.0104675
WoS: 000900748900002

Rank-uniform local law for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/12148
DOI: 10.1017/fms.2022.86
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On adiabatic theory for extended fermionic lattice systems
S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/12184
DOI: 10.1063/5.0123441
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arXiv: 2208.12220

The isometry group of Wasserstein spaces: The Hilbertian case
G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.
LibreCat: https://research-explorer.ista.ac.at/record/12214
DOI: 10.1112/jlms.12676
WoS: 000854878500001
arXiv: 2102.02037

Density of small singular values of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
LibreCat: https://research-explorer.ista.ac.at/record/12232
DOI: 10.1007/s00023-022-01188-8
WoS: 000796323500001

Directional extremal statistics for Ginibre eigenvalues
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/12243
DOI: 10.1063/5.0104290
WoS: 000869715800001
arXiv: 2206.04443

Optimal multi-resolvent local laws for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
LibreCat: https://research-explorer.ista.ac.at/record/12290
DOI: 10.1214/22-ejp838
WoS: 000910863700003

The BCS energy gap at high density
S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/11732
DOI: 10.1007/s10955-022-02965-9
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On eigenvector statistics in the spherical and truncated unitary ensembles
G. Dubach, Electronic Journal of Probability 26 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/10285
DOI: 10.1214/21-EJP686

Maxima of a random model of the Riemann zeta function over intervals of varying length
L.-P. Arguin, G. Dubach, L. Hartung, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/9230
DOI: 10.48550/arXiv.2103.04817
arXiv: 2103.04817

Formal verification of Zagier's one-sentence proof
G. Dubach, F. Mühlböck, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/9281
DOI: 10.48550/arXiv.2103.11389
arXiv: 2103.11389

A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means
J. Pitrik, D. Virosztek, Linear Algebra and Its Applications 609 (2021) 203–217.
LibreCat: https://research-explorer.ista.ac.at/record/8373
DOI: 10.1016/j.laa.2020.09.007
WoS: 000581730500011
arXiv: 2002.11678

The metric property of the quantum Jensen-Shannon divergence
D. Virosztek, Advances in Mathematics 380 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/9036
DOI: 10.1016/j.aim.2021.107595
WoS: 000619676100035
arXiv: 1910.10447

Fluctuation around the circular law for random matrices with real entries
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/9412
DOI: 10.1214/21-EJP591
WoS: 000641855600001
arXiv: 2002.02438

Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/9550
DOI: 10.1017/fms.2021.38
WoS: 000654960800001
arXiv: 2008.07061

Scattering in quantum dots via noncommutative rational functions
L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré  22 (2021) 4205–4269.
LibreCat: https://research-explorer.ista.ac.at/record/9912
DOI: 10.1007/s00023-021-01085-6
WoS: 000681531500001
arXiv: 1911.05112

Eigenstate thermalization hypothesis for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
LibreCat: https://research-explorer.ista.ac.at/record/10221
DOI: 10.1007/s00220-021-04239-z
WoS: 000712232700001
arXiv: 2012.13215

Fluctuations in the spectrum of random matrices
G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9022
DOI: 10.15479/AT:ISTA:9022

Spectral radius of random matrices with independent entries
J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
LibreCat: https://research-explorer.ista.ac.at/record/15013
DOI: 10.2140/pmp.2021.2.221
arXiv: 1907.13631

Edge universality for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
LibreCat: https://research-explorer.ista.ac.at/record/8601
DOI: 10.1007/s00440-020-01003-7
WoS: 000572724600002
arXiv: 1908.00969

On words of non-Hermitian random matrices
G. Dubach, Y. Peled, The Annals of Probability 49 (2021) 1886–1916.
LibreCat: https://research-explorer.ista.ac.at/record/15259
DOI: 10.1214/20-aop1496
arXiv: 1904.04312

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.
LibreCat: https://research-explorer.ista.ac.at/record/7389
DOI: 10.1090/tran/8113
WoS: 000551418100018
arXiv: 2002.00859

Local laws for polynomials of Wigner matrices
L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).
LibreCat: https://research-explorer.ista.ac.at/record/7512
DOI: 10.1016/j.jfa.2020.108507
WoS: 000522798900001
arXiv: 1804.11340

Quantum Hellinger distances revisited
J. Pitrik, D. Virosztek, Letters in Mathematical Physics 110 (2020) 2039–2052.
LibreCat: https://research-explorer.ista.ac.at/record/7618
DOI: 10.1007/s11005-020-01282-0
WoS: 000551556000002
arXiv: 1903.10455

On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
LibreCat: https://research-explorer.ista.ac.at/record/9104
DOI: 10.1007/s11854-020-0135-2
WoS: 000611879400008
arXiv: 1804.11199

Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
LibreCat: https://research-explorer.ista.ac.at/record/10862
DOI: 10.1016/j.jfa.2020.108639
WoS: 000559623200009
arXiv: 1708.01597

Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).
LibreCat: https://research-explorer.ista.ac.at/record/6488
DOI: 10.1142/S2010326320500069
WoS: 000547464400001
arXiv: 1806.08751

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 378 (2020) 1203–1278.
LibreCat: https://research-explorer.ista.ac.at/record/6185
DOI: 10.1007/s00220-019-03657-4
WoS: 000529483000001
arXiv: 1809.03971

The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
LibreCat: https://research-explorer.ista.ac.at/record/14694
DOI: 10.4171/dm/780
arXiv: 1804.07752

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.
LibreCat: https://research-explorer.ista.ac.at/record/6184
DOI: 10.1214/19-AOP1379
WoS: 000528269100013
arXiv: 1804.07744

Optimal lower bound on the least singular value of the shifted Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146.
LibreCat: https://research-explorer.ista.ac.at/record/15063
DOI: 10.2140/pmp.2020.1.101
arXiv: 1908.01653

Random matrices
L. Erdös, F. Götze, A. Guionnet, Oberwolfach Reports 16 (2020) 3459–3527.
LibreCat: https://research-explorer.ista.ac.at/record/15079
DOI: 10.4171/owr/2019/56

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.
LibreCat: https://research-explorer.ista.ac.at/record/7035

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.
LibreCat: https://research-explorer.ista.ac.at/record/8175
arXiv: 1902.08750

Jointly convex quantum Jensen divergences
D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.
LibreCat: https://research-explorer.ista.ac.at/record/405
DOI: 10.1016/j.laa.2018.03.002
WoS: 000470955300005
arXiv: 1712.05324

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.
LibreCat: https://research-explorer.ista.ac.at/record/429
DOI: 10.1007/s00440-018-0835-z
WoS: 000459396500007

Singular analytic linear cocycles with negative infinite Lyapunov exponents
C. Sadel, D. Xu, Ergodic Theory and Dynamical Systems 39 (2019) 1082–1098.
LibreCat: https://research-explorer.ista.ac.at/record/6086
DOI: 10.1017/etds.2017.52
WoS: 000459725600012
arXiv: 1601.06118

Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
LibreCat: https://research-explorer.ista.ac.at/record/6511
DOI: 10.1214/18-AOP1284
WoS: 000466616100003
arXiv: 1612.05920

On isometric embeddings of Wasserstein spaces – the discrete case
G.P. Gehér, T. Titkos, D. Virosztek, Journal of Mathematical Analysis and Applications 480 (2019).
LibreCat: https://research-explorer.ista.ac.at/record/6843
DOI: 10.1016/j.jmaa.2019.123435
WoS: 000486563900031
arXiv: 1809.01101

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.
LibreCat: https://research-explorer.ista.ac.at/record/7423
DOI: 10.1214/18-aihp888
WoS: 000456070200013
arXiv: 1704.05224

Random matrices with slow correlation decay
L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019).
LibreCat: https://research-explorer.ista.ac.at/record/6182
DOI: 10.1017/fms.2019.2
WoS: 000488847100001
arXiv: 1705.10661

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.
LibreCat: https://research-explorer.ista.ac.at/record/6186
DOI: 10.2140/paa.2019.1.615
arXiv: 1811.04055

Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function
A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.
LibreCat: https://research-explorer.ista.ac.at/record/10879
DOI: 10.4171/jst/267
WoS: 000484709400006
arXiv: 1701.02956

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.
LibreCat: https://research-explorer.ista.ac.at/record/72
DOI: 10.1214/18-AIHP916
WoS: 000487763200001
arXiv: 1710.02323

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.
LibreCat: https://research-explorer.ista.ac.at/record/6240
DOI: 10.1214/18-AIHP894
WoS: 000467793600003
arXiv: 1706.08343

From Dyson to Pearcey: Universal statistics in random matrix theory
D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, Institute of Science and Technology Austria, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6179
DOI: 10.15479/AT:ISTA:th6179

Local law and Tracy–Widom limit for sparse random matrices
J. Lee, K. Schnelli, Probability Theory and Related Fields 171 (2018).
LibreCat: https://research-explorer.ista.ac.at/record/690
DOI: 10.1007/s00440-017-0787-8
arXiv: 1605.08767

Local inhomogeneous circular law
J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability  28 (2018) 148–203.
LibreCat: https://research-explorer.ista.ac.at/record/566
DOI: 10.1214/17-AAP1302
WoS: 000431721800005
arXiv: 1612.07776 

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.
LibreCat: https://research-explorer.ista.ac.at/record/181
DOI: 10.1137/17M1143125
WoS: 000437018500032
arXiv: 1708.01546

Bounds on the norm of Wigner-type random matrices
L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
LibreCat: https://research-explorer.ista.ac.at/record/5971
DOI: 10.1142/s2010326319500096
WoS: 000477677200002
arXiv: 1802.05175

Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues
L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
LibreCat: https://research-explorer.ista.ac.at/record/1012
DOI: 10.1093/imrn/rnw330
WoS: 000441668300009
arXiv: 1608.05163

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.
LibreCat: https://research-explorer.ista.ac.at/record/70
DOI: 10.30757/ALEA.v15-49
WoS: 000460475800022
arXiv: 1705.08836

Maps on probability measures preserving certain distances - a survey and some new results
D. Virosztek, Acta Scientiarum Mathematicarum 84 (2018) 65–80.
LibreCat: https://research-explorer.ista.ac.at/record/284
DOI: 10.14232/actasm-018-753-y
arXiv: 1802.03305

The Dyson equation with linear self-energy: Spectral bands, edges and  cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/6183
arXiv: 1804.07752

The free boundary Schur process and applications I
D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742.
LibreCat: https://research-explorer.ista.ac.at/record/556
DOI: 10.1007/s00023-018-0723-1
arXiv: 1704.05809

Dyson equation and eigenvalue statistics of random matrices
J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, Institute of Science and Technology Austria, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/149
DOI: 10.15479/AT:ISTA:TH_1040

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.
LibreCat: https://research-explorer.ista.ac.at/record/483
DOI: 10.4310/ATMP.2017.v21.n3.a5

A Dynamical Approach to Random Matrix Theory
L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/567
DOI: 10.1090/cln/028

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.
LibreCat: https://research-explorer.ista.ac.at/record/615
DOI: 10.1214/16-AIHP765

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.
LibreCat: https://research-explorer.ista.ac.at/record/721
DOI: 10.1002/cpa.21639

Singularities of the density of states of random Gram matrices
J. Alt, Electronic Communications in Probability 22 (2017).
LibreCat: https://research-explorer.ista.ac.at/record/550
DOI: 10.1214/17-ECP97

Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
LibreCat: https://research-explorer.ista.ac.at/record/1144
DOI: 10.1214/16-ECP38

Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
LibreCat: https://research-explorer.ista.ac.at/record/1528
DOI: 10.1007/s00440-015-0692-y
WoS: 000398842700004

Universality for general Wigner-type matrices
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
LibreCat: https://research-explorer.ista.ac.at/record/1337
DOI: 10.1007/s00440-016-0740-2
WoS: 000414358400002

Local law of addition of random matrices on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
LibreCat: https://research-explorer.ista.ac.at/record/1207
DOI: 10.1007/s00220-016-2805-6
WoS: 000393696700005

Local law for the product of independent non-Hermitian random matrices with independent entries
Y. Nemish, Electronic Journal of Probability 22 (2017).
LibreCat: https://research-explorer.ista.ac.at/record/1023
DOI: 10.1214/17-EJP38
WoS: 000396611900022

Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
LibreCat: https://research-explorer.ista.ac.at/record/1010
DOI: 10.1214/17-EJP42
WoS: 000396611900025
arXiv: 1606.07353

Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
LibreCat: https://research-explorer.ista.ac.at/record/733
DOI: 10.1016/j.aim.2017.08.028
WoS: 000412150400010

Fluctuations of the competition interface in presence of shocks
P. Ferrari, P. Nejjar, Revista Latino-Americana de Probabilidade e Estatística 9 (2017) 299–325.
LibreCat: https://research-explorer.ista.ac.at/record/447
DOI: 10.30757/ALEA.v14-17

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.
LibreCat: https://research-explorer.ista.ac.at/record/1157
DOI: 10.1214/16-AAP1193

Bulk universality for deformed wigner matrices
J. Lee, K. Schnelli, B. Stetler, H. Yau, Annals of Probability 44 (2016) 2349–2425.
LibreCat: https://research-explorer.ista.ac.at/record/1219
DOI: 10.1214/15-AOP1023

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.
LibreCat: https://research-explorer.ista.ac.at/record/1223
DOI: 10.4171/JST/132

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.
LibreCat: https://research-explorer.ista.ac.at/record/1257
DOI: 10.1007/s00220-016-2600-4

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.
LibreCat: https://research-explorer.ista.ac.at/record/1280
DOI: 10.1002/cpa.21624

Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
LibreCat: https://research-explorer.ista.ac.at/record/1434
DOI: 10.1016/j.jfa.2016.04.006

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.
LibreCat: https://research-explorer.ista.ac.at/record/1489
DOI: 10.1007/s10955-016-1479-y

Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
C. Sadel, Annales Henri Poincare 17 (2016) 1631–1675.
LibreCat: https://research-explorer.ista.ac.at/record/1608
DOI: 10.1007/s00023-015-0456-3

Extremal eigenvalues and eigenvectors of deformed Wigner matrices
J. Lee, K. Schnelli, Probability Theory and Related Fields 164 (2016) 165–241.
LibreCat: https://research-explorer.ista.ac.at/record/1881
DOI: 10.1007/s00440-014-0610-8

Universality for the largest eigenvalue of sample covariance matrices with general population
Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
LibreCat: https://research-explorer.ista.ac.at/record/1505
DOI: 10.1214/14-AOS1281

Gap universality of generalized Wigner and ;2 ensembles
L. Erdös, H. Yau, Journal of the European Mathematical Society 17 (2015) 1927–2036.
LibreCat: https://research-explorer.ista.ac.at/record/1508
DOI: 10.4171/JEMS/548

The logarithmic law of random determinant
Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
LibreCat: https://research-explorer.ista.ac.at/record/1506
DOI: 10.3150/14-BEJ615

Asymptotic mutual information statistics of MIMO channels and CLT of sample covariance matrices
Z. Bao, G. Pan, W. Zhou, IEEE Transactions on Information Theory 61 (2015) 3413–3426.
LibreCat: https://research-explorer.ista.ac.at/record/1585
DOI: 10.1109/TIT.2015.2421894

Edge universality for deformed Wigner matrices
J. Lee, K. Schnelli, Reviews in Mathematical Physics 27 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1674
DOI: 10.1142/S0129055X1550018X

Evolutionary games of condensates in coupled birth-death processes
J. Knebel, M. Weber, T.H. Krüger, E. Frey, Nature Communications 6 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1824
DOI: 10.1038/ncomms7977

The Altshuler–Shklovskii formulas for random band matrices II: The general case
L. Erdös, A. Knowles, Annales Henri Poincare 16 (2015) 709–799.
LibreCat: https://research-explorer.ista.ac.at/record/1864
DOI: 10.1007/s00023-014-0333-5

The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case
L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
LibreCat: https://research-explorer.ista.ac.at/record/2166
DOI: 10.1007/s00220-014-2119-5

The local semicircle law for random matrices with a fourfold symmetry
J. Alt, Journal of Mathematical Physics 56 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1677
DOI: 10.1063/1.4932606

Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips
C. Sadel, Mathematical Physics, Analysis and Geometry 17 (2014) 409–440.
LibreCat: https://research-explorer.ista.ac.at/record/1926
DOI: 10.1007/s11040-014-9163-4
arXiv: 1304.3862

Edge universality of beta ensembles
P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.
LibreCat: https://research-explorer.ista.ac.at/record/1937
DOI: 10.1007/s00220-014-2120-z

Phase transition in the density of states of quantum spin glasses
L. Erdös, D.J. Schröder, Mathematical Physics, Analysis and Geometry 17 (2014) 441–464.
LibreCat: https://research-explorer.ista.ac.at/record/2019
DOI: 10.1007/s11040-014-9164-3

Local semicircle law with imprimitive variance matrix
O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014).
LibreCat: https://research-explorer.ista.ac.at/record/2179
DOI: 10.1214/ECP.v19-3121

Isotropic local laws for sample covariance and generalized Wigner matrices
A. Bloemendal, L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 19 (2014).
LibreCat: https://research-explorer.ista.ac.at/record/2225
DOI: 10.1214/EJP.v19-3054

Universality of general ;2-ensembles
L. Erdös, P. Bourgade, H. Yau, Duke Mathematical Journal 163 (2014) 1127–1190.
LibreCat: https://research-explorer.ista.ac.at/record/2699
DOI: 10.1215/00127094-2649752

Random matrices, log-gases and Hölder regularity
L. Erdös, in:, Proceedings of the International Congress of Mathematicians, International Congress of Mathematicians, 2014, pp. 214–236.
LibreCat: https://research-explorer.ista.ac.at/record/1507

Stability and semiclassics in self-generated fields
L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society 15 (2013) 2093–2113.
LibreCat: https://research-explorer.ista.ac.at/record/2698
DOI: 10.4171/JEMS/416
arXiv: 1105.0506

Local eigenvalue density for general MANOVA matrices
L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
LibreCat: https://research-explorer.ista.ac.at/record/2782
DOI: 10.1007/s10955-013-0807-8
arXiv: 1207.0031

The local semicircle law for a general class of random matrices
L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 18 (2013) 1–58.
LibreCat: https://research-explorer.ista.ac.at/record/2837
DOI: 10.1214/EJP.v18-2473