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.
Title resolution pending
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
representative citing papers
Spielman's Laplacian eigenratio conjecture is disproved for infinitely many d>2 using Ramanujan graphs but verified for d≤2 and regular graphs, with stronger results and resolutions of two other conjectures.
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
Proves eigenvalue bounds implying that isogeny graphs of supersingular elliptic curves are Ramanujan and studies their spectral distribution, components, automorphisms, and links to modular forms.
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.
-
On Spielman's Laplacian Eigenratio Conjecture and Related Problems
Spielman's Laplacian eigenratio conjecture is disproved for infinitely many d>2 using Ramanujan graphs but verified for d≤2 and regular graphs, with stronger results and resolutions of two other conjectures.
-
Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
-
Spectral Theory of Isogeny Graphs
Proves eigenvalue bounds implying that isogeny graphs of supersingular elliptic curves are Ramanujan and studies their spectral distribution, components, automorphisms, and links to modular forms.
- Discrete Mixed Quantization