From 68b444280c77b9f7863350b091836112d7482e6c Mon Sep 17 00:00:00 2001 From: "kurchan.jorge" Date: Mon, 7 Dec 2020 15:01:09 +0000 Subject: Update on Overleaf. --- bezout.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) 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 -- cgit v1.2.3-70-g09d2