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| -rw-r--r-- | bezout.tex | 2 |
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@@ -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 |