László Erdős

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20242026

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math-ph2026

Anomalous rate of eigenstate thermalisation at singularities of the density of states

LÃ¡szlÃ³ ErdÅs, Joscha Henheik, Volodymyr Riabov

We prove the Eigenstate Thermalisation Hypothesis (ETH), also known as Quantum Unique Ergodicity (QUE), for large $N \times N$ mean-field random matrices with general correlation st…

math.PR2026

Optimal decay of eigenvector overlap for non-Hermitian random matrices

Giorgio Cipolloni, LÃ¡szlÃ³ ErdÅs, Yuanyuan Xu

We consider the standard overlap $O_{ij} := ⟨ r_{j}, r_{i} ⟩ ⟨ l_{j}, l_{i} ⟩$ of any bi-orthogonal family of left and rig…