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 block reduction method for random band matrices with general variance profiles
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper establishes rigorous lower bounds on eigenvector localization lengths for power-law random band matrices in four regimes of the decay exponent α, verifying a physical conjecture via new resolvent techniques.
citing papers explorer
-
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.
-
Localization Lengths of Power-Law Random Band Matrices
The paper establishes rigorous lower bounds on eigenvector localization lengths for power-law random band matrices in four regimes of the decay exponent α, verifying a physical conjecture via new resolvent techniques.