Comptes Rendus
Physique mathématique, Probabilités
Approximate Ground States of Hypercube Spin Glasses are Near Corners
Mark Sellke1 
1 Stanford University, Department of Mathematics, USA.
Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1097-1105.

We show that with probability exponentially close to 1, all near-maximizers of any mean-field mixed p-spin glass Hamiltonian on the hypercube [-1,1] N are near a corner. This confirms a recent conjecture of Gamarnik and Jagannath. The proof is elementary and extends to arbitrary polytopes with e o(N 2 ) faces.

Reçu le :
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DOI : 10.5802/crmath.240
Mark Sellke 1

1 Stanford University, Department of Mathematics, USA.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Mark Sellke. Approximate Ground States of Hypercube Spin Glasses are Near Corners. Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1097-1105. doi : 10.5802/crmath.240. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.240/

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