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arxiv: 1712.07775 · v1 · pith:EVW6UBPFnew · submitted 2017-12-21 · 🧮 math.PR · cs.DM· math.CO

Local optima of the Sherrington-Kirkpatrick Hamiltonian

classification 🧮 math.PR cs.DMmath.CO
keywords hamiltonianlocaloptimasherrington-kirkpatrickcomputedetermineexpectedexponent
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We study local optima of the Hamiltonian of the Sherrington-Kirkpatrick model. We compute the exponent of the expected number of local optima and determine the "typical" value of the Hamiltonian.

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