On the unbalanced cut problem and the generalized Sherrington–Kirkpatrick model
Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 1, pp. 35-88.
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We establish a strict asymptotic inequality between a class of graph partition problems on the sparse Erdős–Rényi and random regular graph ensembles with the same average degree. Along the way, we establish a variational representation for the ground state energy for generalized mixed p-spin glasses and derive strict comparison inequalities for such models as the alphabet changes.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/97
Classification : 90-XX, 05-XX, 49-XX, 82-XX
Mots-clés : Random graphs, unbalanced cuts, spin glasses, gamma convergence 
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     title = {On the unbalanced cut problem and the generalized {Sherrington{\textendash}Kirkpatrick} model},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {35--88},
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Jagannath, Aukosh; Sen, Subhabrata. On the unbalanced cut problem and the generalized Sherrington–Kirkpatrick model. Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 1, pp. 35-88. doi : 10.4171/aihpd/97. http://www.numdam.org/articles/10.4171/aihpd/97/

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