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We prove that the local eigenvalue statistics of real symmetric Wigner-type matrices near the cusp points of the eigenvalue density are universal.
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E.. Stein and Guido Weiss · 1958
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“A Brownian-motion model for the eigenvalues of a random matrix”
Freeman. Dyson · 1962
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“Level spacing of random matrices in an external source”
E. Br\’ezin and S. Hikami · 1998
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“Universal singularity at the closure of a gap in a random matrix theory”
E. Br\’ezin and S. Hikami · 1998
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Craig. Tracy and Harold Widom · 2006
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Mark Adler, Patrik. Ferrari and Pierre van Moerbeke · 2010
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“Edge universality of beta ensembles”
Paul Bourgade, L\’aszl\’o Erdos and Horng-Tzer Yau · 2014
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“Quadratic vector equations on complex upper half-plane”
Oskari. Ajanki, L\’aszl\’o Erdos and Torben Kr\"uger · 2015
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“Fixed energy universality for generalized Wigner matrices”
Paul Bourgade, L\’aszl\’o Erdos, Horng-Tzer Yau and Jun Yin · 2016
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Jiaoyang Huang and Benjamin Landon · 2016
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“Singularities of solutions to quadratic vector equations on the complex upper half-plane”
Oskari. Ajanki, L\’aszl\’o Erdos and Torben Kr\"uger · 2017
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“Universality for general Wigner-type matrices”
Oskari. Ajanki, L\’aszl\’o Erdos and Torben Kr\"uger · 2017
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P. Bourgade and H.-T. Yau · 2017
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“Universality for random matrix flows with time-dependent density”
“Edge statistics of Dyson Brownian motion”
Benjamin Landon and Horng-Tzer Yau · 2017
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“Dyson Brownian Motion for General β \beta and Potential at the Edge”
Arka Adhikari and Jiaoyang Huang · 2018
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“The Dyson equation with linear self-energy: spectral bands, edges and cusps”
Johannes Alt, L\’aszl\’o Erdos and Torben Kr\"uger · 2018
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“Correlated Random Matrices: Band Rigidity and Edge Universality”
Johannes Alt, L\’aszl\’o Erdos, Torben Kr\"uger and Dominik Schr\"oder · 2018
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“Propagation of Singular Behavior for Gaussian Perturbations of Random Matrices”
Tom Claeys, Arno.. Kuijlaars, Karl Liechty and Dong Wang · 2018
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L\’aszl\’o Erdos and Kevin Schnelli · 2017
Cited alongside, same era.
“A dynamical approach to random matrix theory” 28
L\’aszl\’o Erdos and Horng-Tzer Yau · 2017
Cited alongside, same era.
“Convergence of local statistics of Dyson Brownian motion”
Benjamin Landon and Horng-Tzer Yau · 2017
Cited alongside, same era.
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“Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case”
L\’aszl\’o Erdos, Torben Kr\"uger and Dominik Schr\"oder · 2018
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“Fixed energy universality of Dyson Brownian motion”
Benjamin Landon, Philippe Sosoe and Horng-Tzer Yau · 2019
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“Gap universality of generalized Wigner and β \beta -ensembles”
L\’aszl\’o Erdos and Horng-Tzer Yau · 2036
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