László Erdős

activity

20242026

collaborators

Showing math.PRShow all

3 papers · 1 filter

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.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…

math.PR2024

Cusp Universality for Correlated Random Matrices

LÃ¡szlÃ³ ErdÅs, 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…