From b8cf57637e7d11e7c1cb27b04f88ed2d5a04ee87 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Thu, 10 Dec 2020 11:50:38 +0100
Subject: Added correct average to Green function.

---
 bezout.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index a8f704c..92fcbf3 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -309,7 +309,7 @@ solution. A detailed analysis of the saddle point integration is needed to
 understand why this is so. Given such $\alpha_0$, the density of singular
 values follows from the jump across the cut, or
 \begin{equation}
-  \rho(\sigma)=\frac1{i\pi}\left(\lim_{\mathop{\mathrm{Im}}\sigma\to0^+}G(\sigma)-\lim_{\mathop{\mathrm{Im}}\sigma\to0^-}G(\sigma)\right)
+  \rho(\sigma)=\frac1{i\pi}\left(\lim_{\mathop{\mathrm{Im}}\sigma\to0^+}\overline G(\sigma)-\lim_{\mathop{\mathrm{Im}}\sigma\to0^-}\overline G(\sigma)\right)
 \end{equation}
 
 The transition from a one-cut to two-cut singular value spectrum naturally
-- 
cgit v1.2.3-54-g00ecf

