344 citations · 3.1k across the 86 of their papers we have counts for
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The local relaxation flow approach to universality of the local statistics for random matrices
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau +1
We present a generalization of the method of the local relaxation flow to establish the universality of local spectral statistics of a broad class of large random matrices. We show…
Universality of Random Matrices and Local Relaxation Flow
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
We consider symmetric random matrices where the probability distribution for each matrix element is given by a measure with a subexponential decay. We prove that th…
Bulk universality for Wigner hermitian matrices with subexponential decay
Laszlo Erdos, Jose Ramirez, Benjamin Schlein +3
We consider the ensemble of Wigner hermitian matrices that generalize the Gaussian unitary ensemble (GUE). The matrix element…
Bulk Universality for Wigner Matrices
Laszlo Erdos, Sandrine Peche, Jose A. Ramirez +2
We consider Hermitian Wigner random matrices where the probability density for each matrix element is given by the density . We prove that the eig…
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
Laszlo Erdos, Jose A. Ramirez, Benjamin Schlein +1
We consider Hermitian random matrices with independent identically distributed entries (Wigner matrices). We assume that the distribution of the entries have a Gaussian…
The Second Order Upper Bound for the Ground Energy of a Bose Gas
Horng-Tzer Yau, Jun Yin
Consider bosons in a finite box interacting via a two-body smooth repulsive short range potential. We construct a variational state which gives…