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
DOI: 10.1063/5.0051632
WoS: 000739446000009
arXiv: 2012.15238

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
DOI: 10.1007/s11005-021-01494-y
WoS: 000744930400001
arXiv: 2106.13780

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
DOI: 10.1017/fms.2021.80
WoS: 000743615000001
arXiv: 2012.15239

The BCS critical temperature at high density
S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
LibreCat: https://research-explorer.ista.ac.at/record/10623
DOI: 10.1007/s11040-021-09415-0
WoS: 000741387600001
arXiv: 2106.02015

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
WoS: 000781239100004
arXiv: 2102.09975

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
WoS: 000848873800001
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
WoS: 000793963400005
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
WoS: 000873719200001

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
WoS: 000905776200001
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
WoS: 000833007200002

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