Inhomogeneous random matrices have identical universal edge statistics if their variance-profile Markov chains satisfy short-to-long comparability, enabling analysis of band matrices, orbital models, and Hankel profiles in subcritical and critical regimes.
A dynamical approach to random matrix theory , volume 28 of Courant Lecture Notes in Mathematics
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Edge Universality for Inhomogeneous Random Matrices II: Markov Chain Comparison and Critical Statistics
Inhomogeneous random matrices have identical universal edge statistics if their variance-profile Markov chains satisfy short-to-long comparability, enabling analysis of band matrices, orbital models, and Hankel profiles in subcritical and critical regimes.