2 papers
math-ph2026
Anomalous rate of eigenstate thermalisation at singularities of the density of states
László ErdÅs, 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…
math.PR2024
Cusp Universality for Correlated Random Matrices
László 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…