For rational beta>0, the Sine-beta and Airy-beta point processes are the unique solutions of the bulk and edge loop equation hierarchies respectively.
Deift.Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach: A Riemann- Hilbert Approach, volume 3
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Loop Equations Characterize Random Matrix Statistics
For rational beta>0, the Sine-beta and Airy-beta point processes are the unique solutions of the bulk and edge loop equation hierarchies respectively.