From 8744de894d3ea6183e9677bea7d7ceee456d8b7b Mon Sep 17 00:00:00 2001 From: "kurchan.jorge" Date: Wed, 9 Dec 2020 14:31:48 +0000 Subject: Update on Overleaf. --- bezout.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/bezout.tex b/bezout.tex index a7ffd08..2917eda 100644 --- a/bezout.tex +++ b/bezout.tex @@ -23,7 +23,7 @@ \date\today \begin{abstract} - We study the saddle-points of the $p$-spin mode -- the best understood example of `complex (rugged) landscape' -- in the space in which all its $N$ variables are allowed to be complex. The problem becomes + We study the saddle-points of the $p$-spin model -- the best understood example of `complex (rugged) landscape' -- in the space in which all its $N$ variables are allowed to be complex. The problem becomes a system of $N$ random equations of degree $p-1$. We solve for quantities averaged over randomness in the $N \rightarrow \infty$ limit. We show that the number of solutions saturates the Bézout bound $\ln {\cal{N}}\sim N \ln (p-1) $\cite{Bezout_1779_Theorie}. -- cgit v1.2.3-70-g09d2