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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-11 10:58:16 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-11 10:58:16 +0100 |
commit | 5ace2f86c7ec1aa78df9d1c319c10da89203ba7b (patch) | |
tree | 0449327876cb378543e50bc24d1a439c3bab837b | |
parent | 9e97f4b6d8e3e62ae9d86618f241e3384916b1ff (diff) | |
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Unreddened change.
-rw-r--r-- | bezout.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -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 |