László Erdős

collaborators

3 papers

math-ph2025

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

László Erdős, 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

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

Optimal decay of eigenvector overlap for non-Hermitian random matrices

Giorgio Cipolloni, László Erdős, 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…