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math.PR2026
Beyond normal fluctuations in local laws for Wigner matrices
László Erdős, Oleksii Kolupaiev
We identify non-Gaussian corrections to the central limit theorem for the global and local laws, i.e. for Stieltjes transform of the empirical eigenvalue distribution of a large re…
math-ph2026
Anomalous rate of eigenstate thermalisation at singularities of the density of states
László Erdős, Joscha Henheik, Volodymyr Riabov
We prove the Eigenstate Thermalisation Hypothesis (ETH), also known as Quantum Unique Ergodicity (QUE), for large mean-field random matrices with general correlation st…