From b2cd0da3f154935bf8ebe9a13ffe68bb97b4df41 Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Mon, 7 Dec 2020 14:54:57 +0000
Subject: Update on Overleaf.

---
 bezout.tex | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index ce3e850..e4aead7 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -43,7 +43,10 @@ The most tractable family of these  are the mean-field spherical p-spin models d
 \begin{equation} \label{eq:bare.hamiltonian}
   E = \sum_p \frac{c_p}{p!}\sum_{i_1\cdots i_p}^NJ_{i_1\cdots i_p}z_{i_1}\cdots z_{i_p},
 \end{equation}
-where the $J_{i_1\cdots i_p}$ are 
+where the $J_{i_1\cdots i_p}$ are real Gaussian variables and the $z_i$ are real and constrained
+to a sphere $\sum_i z_i^2=N$.
+
+In th
 where $z\in\mathbb C^N$ is constrained by $z^2=N$ and $J$ is a symmetric tensor
 whose elements are complex normal with $\langle|J|^2\rangle=p!/2N^{p-1}$ and
 $\langle J^2\rangle=\kappa\langle|J|^2\rangle$ for complex parameter
-- 
cgit v1.2.3-54-g00ecf

