Abstract
In our previous work [BSZ2], we proved that the correlation functions for simultaneous zeros of random generalized polynomials have universal scaling limits and we gave explicit formulas for pair correlations in codimensions 1 and 2. The purpose of this paper is to compute these universal limits in all dimensions and codimensions. First, we use a supersymmetry method to express the n-point correlations as Berezin integrals. Then we use the Wick method to give a closed formula for the limit pair correlation function for the point case in all dimensions.
Original language | English (US) |
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Pages (from-to) | 255-269 |
Number of pages | 15 |
Journal | Communications in Mathematical Physics |
Volume | 224 |
Issue number | 1 |
DOIs | |
State | Published - 2001 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics