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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-11 10:58:16 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-11 10:58:16 +0100
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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