Two-Point Correlation Functions and Universality for the Zeros of Systems of SO(n+1)-invariant Gaussian Random Polynomials

Pavel M. Bleher, Yushi Homma, Roland K. W. Roeder

We study the two-point correlation functions for the zeroes of systems of $SO(n+1)$-invariant Gaussian random polynomials on ${\mathbb{RP}}^n$ and systems of ${\rm isom}(\mathbb{R}^n…