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-rw-r--r--bezout.tex3
1 files changed, 3 insertions, 0 deletions
diff --git a/bezout.tex b/bezout.tex
index e4aead7..8acee10 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -46,6 +46,9 @@ The most tractable family of these are the mean-field spherical p-spin models d
where the $J_{i_1\cdots i_p}$ are real Gaussian variables and the $z_i$ are real and constrained
to a sphere $\sum_i z_i^2=N$.
+This problem has been attacked from several angles: the replica trick to compute the Boltzmann-Gibbs distribution,
+a Kac-Rice \cite{Kac,Fyodorov} procedure to compute the number of saddle-points of the energy function, and the
+
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