Joint eigenvector distributions of symmetric random tensors are computed via QFT methods, yielding random matrix forms and universal large-dimension asymptotics governed by tensor geometries.
The complexity of spherical p-spin models—A second moment approach
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The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.
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Joint distributions of eigenvectors of symmetric random tensors
Joint eigenvector distributions of symmetric random tensors are computed via QFT methods, yielding random matrix forms and universal large-dimension asymptotics governed by tensor geometries.
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The Legendre structure of the TAP complexity for the Ising spin glass
The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.