From 5ace2f86c7ec1aa78df9d1c319c10da89203ba7b Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 11 Dec 2020 10:58:16 +0100 Subject: Unreddened change. --- bezout.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'bezout.tex') diff --git a/bezout.tex b/bezout.tex index 1c416e2..5090de9 100644 --- a/bezout.tex +++ b/bezout.tex @@ -30,7 +30,7 @@ solutions averaged over randomness in the $N\to\infty$ limit. We find that it saturates the Bézout bound $\log\overline{\mathcal{N}}\sim N \log(p-1)$. The Hessian of each saddle is given by a random matrix of the form $C^\dagger - C$, where $C$ is a complex {\color{red} symmetric} Gaussian matrix with a shift to its diagonal. Its + C$, where $C$ is a complex symmetric Gaussian matrix with a shift to its diagonal. Its spectrum has a transition where a gap develops that generalizes the notion of `threshold level' well-known in the real problem. The results from the real problem are recovered in the limit of real parameters. In this case, only the -- cgit v1.2.3-54-g00ecf