Local optima of the Sherrington-Kirkpatrick Hamiltonian

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Abstract

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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Addario-Berry, L., Devroye, L., Lugosi, G., & Oliveira, R. I. (2019). Local optima of the Sherrington-Kirkpatrick Hamiltonian. Journal of Mathematical Physics, 60(4). https://doi.org/10.1063/1.5020662

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