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authorkurchan.jorge <kurchan.jorge@gmail.com>2020-12-07 15:01:09 +0000
committeroverleaf <overleaf@localhost>2020-12-07 15:01:18 +0000
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Update on Overleaf.
-rw-r--r--bezout.tex2
1 files changed, 1 insertions, 1 deletions
diff --git a/bezout.tex b/bezout.tex
index 92d3e41..4ef9f1a 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -47,7 +47,7 @@ where the $J_{i_1\cdots i_p}$ are real Gaussian variables and the $z_i$ are real
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 (similar to the Fadeev-Popov integral to compute the number of saddle-points of the energy function, and the gradient-descent -- or more generally Langevin -- dynamics staring from a high-energy configuration.
+a Kac-Rice \cite{Kac,Fyodorov} procedure (similar to the Fadeev-Popov integral) to compute the number of saddle-points of the energy function, and the gradient-descent -- or more generally Langevin -- dynamics staring from a high-energy configuration.
Thanks to the relative simplicity of the energy, all these approaches are possible analytically in the large $N$ limit.
In th