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| -rw-r--r-- | bezout.tex | 3 |
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@@ -46,6 +46,9 @@ The most tractable family of these are the mean-field spherical p-spin models d where the $J_{i_1\cdots i_p}$ are real Gaussian variables and the $z_i$ are real and constrained to a sphere $\sum_i z_i^2=N$. +This problem has been attacked from several angles: the replica trick to compute the Boltzmann-Gibbs distribution, +a Kac-Rice \cite{Kac,Fyodorov} procedure to compute the number of saddle-points of the energy function, and the + In th where $z\in\mathbb C^N$ is constrained by $z^2=N$ and $J$ is a symmetric tensor whose elements are complex normal with $\langle|J|^2\rangle=p!/2N^{p-1}$ and |