László Erdős

activity

20242026

collaborators

4 papers

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…

math-ph2025

Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model

LÃ¡szlÃ³ ErdÅs, Joscha Henheik, Cornelia Vogel

We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve in…

math.PR2024

Density of Brown measure of free circular Brownian motion

LÃ¡szlÃ³ ErdÅs, Hong Chang Ji

We consider the Brown measure of the free circular Brownian motion, $a + t x$ , with an arbitrary initial condition $a$ , i.e. $\boldsymbol…