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math.PR2024
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…
math.PR2024★ 1 cited
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…