Almost Sure Convergence for Angelesco Ensembles

Abstract

Almost surely in an Angelesco ensemble,the normalized counting measure of a random point converges weak* to the equilibrium measure.This result, for orthogonal polynomial ensembles, is well-known.

25 pages.sections 6 and 7 added with proof of large deviation

References in corpus (1)

• Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses

Cited by in corpus (3)

• Weakly Admissible Vector Equilibrium Problems
• Vector Energy and Large Deviation
• Large Deviation For Outlying Coordinates in Beta Ensembles