Creation rate of Dirac particles at a point source
S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
LibreCat: https://research-explorer.ista.ac.at/record/14421
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Local laws for multiplication of random matrices
X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.
LibreCat: https://research-explorer.ista.ac.at/record/14750
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Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices
K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.
LibreCat: https://research-explorer.ista.ac.at/record/14775
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Spiked multiplicative random matrices and principal components
X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60.
LibreCat: https://research-explorer.ista.ac.at/record/14780
DOI: 10.1016/j.spa.2023.05.009
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On the rightmost eigenvalue of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
LibreCat: https://research-explorer.ista.ac.at/record/14849
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Mesoscopic eigenvalue statistics for Wigner-type matrices
V. Riabov, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/15128
DOI: 10.48550/arXiv.2301.01712
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Prethermalization for deformed Wigner Matrices
L. Erdös, S.J. Henheik, J. Reker, V. Riabov, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/17174
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arXiv: 2310.06677

Multi-point functional central limit theorem for Wigner Matrices
J. Reker, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/17173
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Characteristic polynomials of random truncations: Moments, duality and asymptotics
A. Serebryakov, N. Simm, G. Dubach, Random Matrices: Theory and Applications 12 (2023).
LibreCat: https://research-explorer.ista.ac.at/record/17079
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On the condition number of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
LibreCat: https://research-explorer.ista.ac.at/record/12179
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Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap
S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/10600
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Local stability of ground states in locally gapped and weakly interacting quantum spin systems
S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/10642
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Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/10643
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The BCS critical temperature at high density
S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
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DOI: 10.1007/s11040-021-09415-0
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Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/10732
DOI: 10.1016/j.jfa.2022.109394
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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
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Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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The metric property of the quantum Jensen-Shannon divergence
D. Virosztek, Advances in Mathematics 380 (2021).
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DOI: 10.1016/j.aim.2021.107595
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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
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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
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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
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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
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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
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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
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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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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Convergence rate for spectral distribution of addition of random matrices
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Bulk universality for deformed wigner matrices
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Localization for transversally periodic random potentials on binary trees
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A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes
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Local stability of the free additive convolution
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Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
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Extremal eigenvalues and eigenvectors of deformed Wigner matrices
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Universality for the largest eigenvalue of sample covariance matrices with general population
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The logarithmic law of random determinant
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Asymptotic mutual information statistics of MIMO channels and CLT of sample covariance matrices
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