From 41588dfc8a0cc7e2b7395f53e6f53d00f6cb3f14 Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Wed, 9 Dec 2020 13:01:35 +0000
Subject: Update on Overleaf.

---
 bezout.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index 1b9b078..213f9ef 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -249,7 +249,7 @@ elements of $J$ are standard complex normal, this corresponds to a complex
 Wishart distribution. For $\kappa\neq0$ the problem changes, and to our
 knowledge a closed form is not known.  We have worked out an implicit form for
 this spectrum using the saddle point of a replica symmetric calculation for the
-Green function. The result is
+Green function. {\color{red} the calculation is standard, we outline it in appendix xx} The result is
 \begin{widetext}
   \begin{equation}
     G(\sigma)=\lim_{n\to0}\int d\alpha\,d\chi\,d\chi^*\frac\alpha2
@@ -259,7 +259,7 @@ Green function. The result is
       \right\}
   \end{equation}
 \end{widetext}
-The argument of the exponential has several saddles, but the one with the smallest value of $\mathop{\mathrm{Re}}\alpha$ gives the correct solution \textcolor{red}{\textbf{why????? we never figured this out...}}.
+The argument of the exponential has several saddles, but the one with the smallest value of $\mathop{\mathrm{Re}}\alpha$ gives the correct solution \textcolor{red}{\textbf{we have checked this, but a detailed analysis of the saddle-point integration is still needed to justify it.}}.
 
 The transition from a one-cut to two-cut singular value spectrum naturally
 corresponds to the origin leaving the support of the eigenvalue spectrum.
@@ -328,7 +328,7 @@ Consider for example the ground-state energy for given $a$, that is, the energy
   }
 \end{figure}
 
-\begin{figure}[htpb]
+\begin{figure}[htpb]\label{
   \centering
   \includegraphics{fig/desert.pdf}
   \caption{
-- 
cgit v1.2.3-54-g00ecf

