- 00-460 Pavel Bleher, Bernard Shiffman, Steve Zelditch
- Correlations between zeros and supersymmetry
(51K, LaTeX2e with 1 PS figure)
Nov 20, 00
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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.