For correlated mean-field random matrices, eigenvector overlaps fluctuate at the Haar scale 1/N in the bulk and at regular edges, and at N^{-1/2} variance near cubic-root cusps, disproving the Feingold–Peres inverse-density law.
Title resolution pending
1 Pith paper cite this work, alongside 18 external citations. Polarity classification is still indexing.
1
Pith paper citing it
18
external citations · OpenAlex
fields
math-ph 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Anomalous rate of eigenstate thermalisation at singularities of the density of states
For correlated mean-field random matrices, eigenvector overlaps fluctuate at the Haar scale 1/N in the bulk and at regular edges, and at N^{-1/2} variance near cubic-root cusps, disproving the Feingold–Peres inverse-density law.