Better figure caption.

1 files changed, 8 insertions, 2 deletions

diff --git a/bezout.tex b/bezout.tex
index f02fdf6..9b72684 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -192,8 +192,14 @@ is shifted by $p\epsilon$.
   \includegraphics{fig/spectra_singular_1.5.pdf}
 
   \caption{
-    Eigenvalue and singular value spectra for the matrix $\partial\partial H$
-    for $a=\frac54$, $\kappa=\frac34e^{i3\pi/4}$, and $\epsilon=i|\epsilon|$ for values values of $|\epsilon|$.
+    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
+    regions of the lefthand plots show 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 $\partial\partial H$.
   } \label{fig:spectra}
 \end{figure}