From 1563df4bbfbc94f6933437a1507e7c061b3fc228 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Wed, 9 Dec 2020 11:52:25 +0100
Subject: Updated the spectra figure with insets.

---
 bezout.tex | 40 +++++++++++++---------------------------
 1 file changed, 13 insertions(+), 27 deletions(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index a55b4bd..81e4718 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -220,36 +220,22 @@ is shifted by $p\epsilon$.
 \begin{figure}[htpb]
   \centering
 
-  \raisebox{60pt}{$|\epsilon|=0$}
-  \hfill
-  \raisebox{5pt}{\includegraphics[scale=1.0]{fig/spectra_eigenvalue_0.0.pdf}}
-  \hspace{2pt}
-  \includegraphics{fig/spectra_singular_0.0.pdf}\\ 
-  \raisebox{60pt}{$|\epsilon|=\frac12|\epsilon_{\mathrm{th}}|$}
-  \hfill
-  \raisebox{5pt}{\includegraphics[scale=1.0]{fig/spectra_eigenvalue_0.5.pdf}}
-  \hspace{2pt}
-  \includegraphics{fig/spectra_singular_0.5.pdf}\\
-  \raisebox{60pt}{$|\epsilon|=|\epsilon_{\mathrm{th}}|$}
-  \hfill
-  \raisebox{5pt}{\includegraphics[scale=1.0]{fig/spectra_eigenvalue_1.0.pdf}}
-  \hspace{2pt}
-  \includegraphics{fig/spectra_singular_1.0.pdf}\\ 
-  \raisebox{60pt}{$|\epsilon|=\frac32|\epsilon_{\mathrm{th}}|$}
-  \hfill
-  \raisebox{5pt}{\includegraphics[scale=1.0]{fig/spectra_eigenvalue_1.5.pdf}}
-  \hspace{2pt}
-  \includegraphics{fig/spectra_singular_1.5.pdf}
+  \includegraphics{fig/spectra_0.0.pdf}
+  \includegraphics{fig/spectra_0.5.pdf}\\
+  \includegraphics{fig/spectra_1.0.pdf}
+  \includegraphics{fig/spectra_1.5.pdf}
 
   \caption{
     Eigenvalue and singular value spectra of the matrix $\partial\partial H$
-    for $p=3$, $a=\frac54$, $\kappa=\frac34e^{i3\pi/4}$, and
-    $\epsilon=i|\epsilon|$ with various values of $|\epsilon|$. The shaded
-    region of the lefthand plots shows the support of the eigenvalue
-    distribution. The solid line on the righthand plots shows the distribution
-    of singular values, while the overlaid histograms show empirical
-    distributions from $2^{10}\times2^{10}$ complex normal matrices with the
-    same covariance and diagonal shift as $\partial\partial H$.
+    for $p=3$, $a=\frac54$, and $\kappa=\frac34e^{i3\pi/4}$ with (a)
+    $\epsilon=0$, (b) $\epsilon=\frac12|\epsilon_{\mathrm{th}}|$, (c)
+    $\epsilon=|\epsilon_{\mathrm{th}}|$, and (d)
+    $\epsilon=\frac32|\epsilon_{\mathrm{th}}|$. The shaded region of each inset
+    shows the support of the eigenvalue distribution. The solid line on each
+    plot shows the distribution of singular values, while the overlaid
+    histogram shows the empirical distribution from $2^{10}\times2^{10}$ complex
+    normal matrices with the same covariance and diagonal shift as
+    $\partial\partial H$.
   } \label{fig:spectra}
 \end{figure}
 
-- 
cgit v1.2.3-54-g00ecf

