From 7b41b5b8463a5ed3f393f50aba3e8337a5d6fd15 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Mon, 7 Dec 2020 15:52:58 +0100
Subject: Reorganized citation of matrix facts.

---
 bezout.tex | 6 ++----
 1 file changed, 2 insertions(+), 4 deletions(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index 16a3922..fd7f56c 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -100,9 +100,7 @@ shift, or $\rho(\lambda)=\rho_0(\lambda+p\epsilon)$. The Hessian of
   \partial_i\partial_jH_0
   =\frac{p(p-1)}{p!}\sum_{k_1\cdots k_{p-2}}^NJ_{ijk_1\cdots k_{p-2}}z_{k_1}\cdots z_{k_{p-2}},
 \end{equation}
-which makes its ensemble that of Gaussian complex symmetric matrices, whose
-spectrum is constant inside the support of a certain ellipse and zero
-everywhere else \cite{Nguyen_2014_The}. Given its variances
+which makes its ensemble that of Gaussian complex symmetric matrices. Given its variances
 $\langle|\partial_i\partial_j H_0|^2\rangle=p(p-1)a^{p-2}/2N$ and
 $\langle(\partial_i\partial_j H_0)^2\rangle=p(p-1)\kappa/2N$, $\rho_0(\lambda)$ is constant inside the ellipse
 \begin{equation} \label{eq:ellipse}
@@ -110,7 +108,7 @@ $\langle(\partial_i\partial_j H_0)^2\rangle=p(p-1)\kappa/2N$, $\rho_0(\lambda)$
   \left(\frac{\mathop{\mathrm{Im}}(\lambda e^{i\theta})}{1-|\kappa|/a^{p-2}}\right)^2
   <\frac12p(p-1)a^{p-2}
 \end{equation}
-where $\theta=\frac12\arg\kappa$.
+where $\theta=\frac12\arg\kappa$ \cite{Nguyen_2014_The}.
 
 \bibliographystyle{apsrev4-2}
 \bibliography{bezout}
-- 
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