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November 2017 Parisi formula for the ground state energy in the mixed $p$-spin model
Antonio Auffinger, Wei-Kuo Chen
Ann. Probab. 45(6B): 4617-4631 (November 2017). DOI: 10.1214/16-AOP1173

Abstract

We show that the thermodynamic limit of the ground state energy in the mixed $p$-spin model can be identified as a variational problem. This gives a natural generalization of the Parisi formula at zero temperature.

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Antonio Auffinger. Wei-Kuo Chen. "Parisi formula for the ground state energy in the mixed $p$-spin model." Ann. Probab. 45 (6B) 4617 - 4631, November 2017. https://doi.org/10.1214/16-AOP1173

Information

Received: 1 June 2016; Revised: 1 December 2016; Published: November 2017
First available in Project Euclid: 12 December 2017

zbMATH: 06838128
MathSciNet: MR3737919
Digital Object Identifier: 10.1214/16-AOP1173

Subjects:
Primary: 60K35

Rights: Copyright © 2017 Institute of Mathematical Statistics

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Vol.45 • No. 6B • November 2017
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