105 citations · 119 across the 22 of their papers we have counts for
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Cusp Universality for Correlated Random Matrices
László Erdős, Joscha Henheik, Volodymyr Riabov
For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states…
Optimal decay of eigenvector overlap for non-Hermitian random matrices
Giorgio Cipolloni, László Erdős, Yuanyuan Xu
We consider the standard overlap of any bi-orthogonal family of left and rig…
Loschmidt Echo for Deformed Wigner Matrices
László Erdős, Joscha Henheik, Oleksii Kolupaiev
We consider two Hamiltonians that are close to each other, , and analyze the time-decay of the corresponding Loschmidt echo $\mathfrak{M}(t) := |\langle ψ_0, \mat…
Non-Hermitian spectral universality at critical points
Giorgio Cipolloni, László Erdős, Hong Chang Ji
For general large non-Hermitian random matrices and deterministic normal deformations , we prove that the local eigenvalue statistics of close to the critical edge poi…
Eigenstate Thermalization Hypothesis for Wigner-type Matrices
Volodymyr Riabov, László Erdős
We prove the Eigenstate Thermalization Hypothesis for general Wigner-type matrices in the bulk of the self-consistent spectrum, with optimal control on the fluctuations for observa…