From b5ed2657de0830d2305dba9db362aa3d75883cc3 Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Thu, 7 Jul 2022 14:08:56 +0000
Subject: Update on Overleaf.

---
 frsb_kac-rice.tex | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

(limited to 'frsb_kac-rice.tex')

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index 9e9d40d..ec2b26f 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -887,7 +887,11 @@ the probability distribution of the overlaps between stationary points $P(q)$. F
 \begin{equation}
   P(q)=\frac1{\mathcal N^2}\sum_{\sigma,\sigma'}\delta\left(\frac{s_\sigma\cdot s_{\sigma'}}N-q\right)
 \end{equation}
-where the sum is twice over stationary points $\sigma$ and $\sigma'$.  It is
+where the sum is twice over stationary points $\sigma$ and $\sigma'$. 
+{\em This is the probability that two stationary points randomly drawn from the ensemble
+of stationary points happen to be at overlap $q$}
+
+It is
 straightforward to show that moments of this distribution are related to
 certain averages of the form. These are evaluated for a given energy, index, etc, but
 we shall omit these subindices for simplicity.
-- 
cgit v1.2.3-70-g09d2

