Erdös, László, Friedrich Götze, and Alice Guionnet. “Random Matrices.”https://doi.org/10.4171/owr/2019/56__Oberwolfach Reports. European Mathematical Society, 2020.https://doi.org/10.4171/owr/2019/56 .

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.

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.

Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.”https://doi.org/10.1016/j.laa.2018.03.002__Linear Algebra and Its Applications. Elsevier, 2019.https://doi.org/10.1016/j.laa.2018.03.002 .

Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.”https://doi.org/10.1007/s00440-018-0835-z__Probability Theory and Related Fields. Springer, 2019.https://doi.org/10.1007/s00440-018-0835-z .

Sadel, Christian, and Disheng Xu. “Singular Analytic Linear Cocycles with Negative Infinite Lyapunov Exponents.”https://doi.org/10.1017/etds.2017.52__Ergodic Theory and Dynamical Systems. Cambridge University Press, 2019.https://doi.org/10.1017/etds.2017.52 .

Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Single Ring Theorem on Optimal Scale.”https://doi.org/10.1214/18-AOP1284__Annals of Probability. Institute of Mathematical Statistics, 2019.https://doi.org/10.1214/18-AOP1284 .

Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “On Isometric Embeddings of Wasserstein Spaces – the Discrete Case.”https://doi.org/10.1016/j.jmaa.2019.123435__Journal of Mathematical Analysis and Applications. Elsevier, 2019.https://doi.org/10.1016/j.jmaa.2019.123435 .

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.”https://doi.org/10.1214/18-aihp888__Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. Institute of Mathematical Statistics, 2019.https://doi.org/10.1214/18-aihp888 .

Erdös, László, Torben H Krüger, and Dominik J Schröder. “Random Matrices with Slow Correlation Decay.”https://doi.org/10.1017/fms.2019.2__Forum of Mathematics, Sigma. Cambridge University Press, 2019.https://doi.org/10.1017/fms.2019.2 .

Cipolloni, Giorgio, László Erdös, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices, II: The Real Symmetric Case.”https://doi.org/10.2140/paa.2019.1.615__Pure and Applied Analysis . MSP, 2019.https://doi.org/10.2140/paa.2019.1.615 .

Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.”https://doi.org/10.4171/jst/267__Journal of Spectral Theory. European Mathematical Society Publishing House, 2019.https://doi.org/10.4171/jst/267 .

Ferrari, Patrick, Promit Ghosal, and Peter Nejjar. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.”https://doi.org/10.1214/18-AIHP916__Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2019.https://doi.org/10.1214/18-AIHP916 .

Alt, Johannes, László Erdös, Torben H Krüger, and Yuriy Nemish. “Location of the Spectrum of Kronecker Random Matrices.”https://doi.org/10.1214/18-AIHP894__Annales de l’institut Henri Poincare. Institut Henri Poincaré, 2019.https://doi.org/10.1214/18-AIHP894 .

Schröder, Dominik J. “From Dyson to Pearcey: Universal Statistics in Random Matrix Theory.”https://doi.org/10.15479/AT:ISTA:th6179__Institute of Science and Technology Austria, 2019.https://doi.org/10.15479/AT:ISTA:th6179 .

Lee, Jii, and Kevin Schnelli. “Local Law and Tracy–Widom Limit for Sparse Random Matrices.”https://doi.org/10.1007/s00440-017-0787-8__Probability Theory and Related Fields. Springer, 2018.https://doi.org/10.1007/s00440-017-0787-8 .

Alt, Johannes, László Erdös, and Torben H Krüger. “Local Inhomogeneous Circular Law.”https://doi.org/10.1214/17-AAP1302__Annals Applied Probability . Institute of Mathematical Statistics, 2018.https://doi.org/10.1214/17-AAP1302 .

Erdös, László, Torben H Krüger, and David T Renfrew. “Power Law Decay for Systems of Randomly Coupled Differential Equations.”https://doi.org/10.1137/17M1143125__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2018.https://doi.org/10.1137/17M1143125 .

Erdös, László, and Peter Mühlbacher. “Bounds on the Norm of Wigner-Type Random Matrices.”https://doi.org/10.1142/s2010326319500096__Random Matrices: Theory and Applications. World Scientific Publishing, 2018.https://doi.org/10.1142/s2010326319500096 .

Erdös, László, and Dominik J Schröder. “Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues.”https://doi.org/10.1093/imrn/rnw330__International Mathematics Research Notices. Oxford University Press, 2018.https://doi.org/10.1093/imrn/rnw330 .

Nejjar, Peter. “Transition to Shocks in TASEP and Decoupling of Last Passage Times.”https://doi.org/10.30757/ALEA.v15-49__Latin American Journal of Probability and Mathematical Statistics. Instituto Nacional de Matematica Pura e Aplicada, 2018.https://doi.org/10.30757/ALEA.v15-49 .

Virosztek, Daniel. “Maps on Probability Measures Preserving Certain Distances - a Survey and Some New Results.”https://doi.org/10.14232/actasm-018-753-y__Acta Scientiarum Mathematicarum. Springer Nature, 2018.https://doi.org/10.14232/actasm-018-753-y .

Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and  Cusps.” ArXiv, n.d.

Betea, Dan, Jeremie Bouttier, Peter Nejjar, and Mirjana Vuletic. “The Free Boundary Schur Process and Applications I.”https://doi.org/10.1007/s00023-018-0723-1__Annales Henri Poincare. Springer Nature, 2018.https://doi.org/10.1007/s00023-018-0723-1 .

Alt, Johannes. “Dyson Equation and Eigenvalue Statistics of Random Matrices.”https://doi.org/10.15479/AT:ISTA:TH_1040__Institute of Science and Technology Austria, 2018.https://doi.org/10.15479/AT:ISTA:TH_1040 .

Bourgade, Paul, László Erdös, Horng Yau, and Jun Yin. “Universality for a Class of Random Band Matrices.”https://doi.org/10.4310/ATMP.2017.v21.n3.a5__Advances in Theoretical and Mathematical Physics. International Press, 2017.https://doi.org/10.4310/ATMP.2017.v21.n3.a5 .

Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28. Courant Lecture Notes. American Mathematical Society, 2017.https://doi.org/10.1090/cln/028 .

Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.”https://doi.org/10.1214/16-AIHP765__Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2017.https://doi.org/10.1214/16-AIHP765 .

Ajanki, Oskari H, Torben H Krüger, and László Erdös. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.”https://doi.org/10.1002/cpa.21639__Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2017.https://doi.org/10.1002/cpa.21639 .

Alt, Johannes. “Singularities of the Density of States of Random Gram Matrices.”https://doi.org/10.1214/17-ECP97__Electronic Communications in Probability. Institute of Mathematical Statistics, 2017.https://doi.org/10.1214/17-ECP97 .

Erdös, László, and Dominik J Schröder. “Fluctuations of Functions of Wigner Matrices.”https://doi.org/10.1214/16-ECP38__Electronic Communications in Probability. Institute of Mathematical Statistics, 2017.https://doi.org/10.1214/16-ECP38 .

Bao, Zhigang, and László Erdös. “Delocalization for a Class of Random Block Band Matrices.”https://doi.org/10.1007/s00440-015-0692-y__Probability Theory and Related Fields. Springer, 2017.https://doi.org/10.1007/s00440-015-0692-y .

Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Universality for General Wigner-Type Matrices.”https://doi.org/10.1007/s00440-016-0740-2__Probability Theory and Related Fields. Springer, 2017.https://doi.org/10.1007/s00440-016-0740-2 .

Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition of Random Matrices on Optimal Scale.”https://doi.org/10.1007/s00220-016-2805-6__Communications in Mathematical Physics. Springer, 2017.https://doi.org/10.1007/s00220-016-2805-6 .

Nemish, Yuriy. “Local Law for the Product of Independent Non-Hermitian Random Matrices with Independent Entries.”https://doi.org/10.1214/17-EJP38__Electronic Journal of Probability. Institute of Mathematical Statistics, 2017.https://doi.org/10.1214/17-EJP38 .

Alt, Johannes, László Erdös, and Torben H Krüger. “Local Law for Random Gram Matrices.”https://doi.org/10.1214/17-EJP42__Electronic Journal of Probability. Institute of Mathematical Statistics, 2017.https://doi.org/10.1214/17-EJP42 .

Bao, Zhigang, László Erdös, and Kevin Schnelli. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.”https://doi.org/10.1016/j.aim.2017.08.028__Advances in Mathematics. Academic Press, 2017.https://doi.org/10.1016/j.aim.2017.08.028 .

Ferrari, Patrik, and Peter Nejjar. “Fluctuations of the Competition Interface in Presence of Shocks.”https://doi.org/10.30757/ALEA.v14-17__Revista Latino-Americana de Probabilidade e Estatística. Instituto Nacional de Matematica Pura e Aplicada, 2017.https://doi.org/10.30757/ALEA.v14-17 .

Lee, Ji, and Kevin Schnelli. “Tracy-Widom Distribution for the Largest Eigenvalue of Real Sample Covariance Matrices with General Population.”https://doi.org/10.1214/16-AAP1193__Annals of Applied Probability. Institute of Mathematical Statistics, 2016.https://doi.org/10.1214/16-AAP1193 .

Lee, Jioon, Kevin Schnelli, Ben Stetler, and Horngtzer Yau. “Bulk Universality for Deformed Wigner Matrices.”https://doi.org/10.1214/15-AOP1023__Annals of Probability. Institute of Mathematical Statistics, 2016.https://doi.org/10.1214/15-AOP1023 .

Froese, Richard, Darrick Lee, Christian Sadel, Wolfgang Spitzer, and Günter Stolz. “Localization for Transversally Periodic Random Potentials on Binary Trees.”https://doi.org/10.4171/JST/132__Journal of Spectral Theory. European Mathematical Society, 2016.https://doi.org/10.4171/JST/132 .

Sadel, Christian, and Bálint Virág. “A Central Limit Theorem for Products of Random Matrices and GOE Statistics for the Anderson Model on Long Boxes.”https://doi.org/10.1007/s00220-016-2600-4__Communications in Mathematical Physics. Springer, 2016.https://doi.org/10.1007/s00220-016-2600-4 .

Bourgade, Paul, László Erdös, Horngtzer Yau, and Jun Yin. “Fixed Energy Universality for Generalized Wigner Matrices.”https://doi.org/10.1002/cpa.21624__Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2016.https://doi.org/10.1002/cpa.21624 .

Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Stability of the Free Additive Convolution.”https://doi.org/10.1016/j.jfa.2016.04.006__Journal of Functional Analysis. Academic Press, 2016.https://doi.org/10.1016/j.jfa.2016.04.006 .

Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.”https://doi.org/10.1007/s10955-016-1479-y__Journal of Statistical Physics. Springer, 2016.https://doi.org/10.1007/s10955-016-1479-y .

Sadel, Christian. “Anderson Transition at 2 Dimensional Growth Rate on Antitrees and Spectral Theory for Operators with One Propagating Channel.”https://doi.org/10.1007/s00023-015-0456-3__Annales Henri Poincare. Birkhäuser, 2016.https://doi.org/10.1007/s00023-015-0456-3 .

Lee, Jioon, and Kevin Schnelli. “Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices.”https://doi.org/10.1007/s00440-014-0610-8__Probability Theory and Related Fields. Springer, 2016.https://doi.org/10.1007/s00440-014-0610-8 .

Bao, Zhigang, Guangming Pan, and Wang Zhou. “Universality for the Largest Eigenvalue of Sample Covariance Matrices with General Population.”https://doi.org/10.1214/14-AOS1281__Annals of Statistics. Institute of Mathematical Statistics, 2015.https://doi.org/10.1214/14-AOS1281 .

Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and ;2 Ensembles.”https://doi.org/10.4171/JEMS/548__Journal of the European Mathematical Society. European Mathematical Society, 2015.https://doi.org/10.4171/JEMS/548 .

Bao, Zhigang, Guangming Pan, and Wang Zhou. “The Logarithmic Law of Random Determinant.”https://doi.org/10.3150/14-BEJ615__Bernoulli. Bernoulli Society for Mathematical Statistics and Probability, 2015.https://doi.org/10.3150/14-BEJ615 .

Bao, Zhigang, Guangming Pan, and Wang Zhou. “Asymptotic Mutual Information Statistics of MIMO Channels and CLT of Sample Covariance Matrices.”https://doi.org/10.1109/TIT.2015.2421894__IEEE Transactions on Information Theory. IEEE, 2015.https://doi.org/10.1109/TIT.2015.2421894 .

Lee, Jioon, and Kevin Schnelli. “Edge Universality for Deformed Wigner Matrices.”https://doi.org/10.1142/S0129055X1550018X__Reviews in Mathematical Physics. World Scientific Publishing, 2015.https://doi.org/10.1142/S0129055X1550018X .

Knebel, Johannes, Markus Weber, Torben H Krüger, and Erwin Frey. “Evolutionary Games of Condensates in Coupled Birth-Death Processes.”https://doi.org/10.1038/ncomms7977__Nature Communications. Nature Publishing Group, 2015.https://doi.org/10.1038/ncomms7977 .

Erdös, László, and Antti Knowles. “The Altshuler–Shklovskii Formulas for Random Band Matrices II: The General Case.”https://doi.org/10.1007/s00023-014-0333-5__Annales Henri Poincare. Springer, 2015.https://doi.org/10.1007/s00023-014-0333-5 .

Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random Band Matrices I: The Unimodular Case.”https://doi.org/10.1007/s00220-014-2119-5__Communications in Mathematical Physics. Springer, 2015.https://doi.org/10.1007/s00220-014-2119-5 .

Alt, Johannes. “The Local Semicircle Law for Random Matrices with a Fourfold Symmetry.”https://doi.org/10.1063/1.4932606__Journal of Mathematical Physics. American Institute of Physics, 2015.https://doi.org/10.1063/1.4932606 .

Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-Strips.”https://doi.org/10.1007/s11040-014-9163-4__Mathematical Physics, Analysis and Geometry. Springer, 2014.https://doi.org/10.1007/s11040-014-9163-4 .

Bourgade, Paul, László Erdös, and Horngtzer Yau. “Edge Universality of Beta Ensembles.”https://doi.org/10.1007/s00220-014-2120-z__Communications in Mathematical Physics. Springer, 2014.https://doi.org/10.1007/s00220-014-2120-z .

Erdös, László, and Dominik J Schröder. “Phase Transition in the Density of States of Quantum Spin Glasses.”https://doi.org/10.1007/s11040-014-9164-3__Mathematical Physics, Analysis and Geometry. Springer, 2014.https://doi.org/10.1007/s11040-014-9164-3 .

Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Semicircle Law with Imprimitive Variance Matrix.”https://doi.org/10.1214/ECP.v19-3121__Electronic Communications in Probability. Institute of Mathematical Statistics, 2014.https://doi.org/10.1214/ECP.v19-3121 .

Bloemendal, Alex, László Erdös, Antti Knowles, Horng Yau, and Jun Yin. “Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices.”https://doi.org/10.1214/EJP.v19-3054__Electronic Journal of Probability. Institute of Mathematical Statistics, 2014.https://doi.org/10.1214/EJP.v19-3054 .

Erdös, László, Paul Bourgade, and Horng Yau. “Universality of General ;2-Ensembles.”https://doi.org/10.1215/00127094-2649752__Duke Mathematical Journal. Duke University Press, 2014.https://doi.org/10.1215/00127094-2649752 .

Erdös, László. “Random Matrices, Log-Gases and Hölder Regularity.” In Proceedings of the International Congress of Mathematicians, 3:214–36. International Congress of Mathematicians, 2014.

Erdös, László, Søren Fournais, and Jan Solovej. “Stability and Semiclassics in Self-Generated Fields.”https://doi.org/10.4171/JEMS/416__Journal of the European Mathematical Society. European Mathematical Society, 2013.https://doi.org/10.4171/JEMS/416 .

Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General MANOVA Matrices.”https://doi.org/10.1007/s10955-013-0807-8__Journal of Statistical Physics. Springer, 2013.https://doi.org/10.1007/s10955-013-0807-8 .

Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “The Local Semicircle Law for a General Class of Random Matrices.”https://doi.org/10.1214/EJP.v18-2473__Electronic Journal of Probability. Institute of Mathematical Statistics, 2013.https://doi.org/10.1214/EJP.v18-2473 .