Merge branch 'master' of https://git.overleaf.com/5fcce4736e7f601ffb7e1484

1 files changed, 4 insertions, 1 deletions

diff --git a/bezout.tex b/bezout.tex
index 7e932ea..d4e3225 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