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math.PRJun 28, 2016
4
citations (OpenAlex)
authors
  • Antonio Auffinger
  • Wei-Kuo Chen
arXiv abstractPDF
paper

Parisi formula for the ground state energy in the mixed p-spin model

arXiv:1606.05335

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.

arXiv comment14 pages. Minor revision

References in corpus (7)

  • Extremal Cuts of Sparse Random Graphs
  • Analysis of the infinity-replica symmetry breaking solution of the Sherrington-Kirkpatrick model
  • The Parisi formula has a unique minimizer
  • A Dynamic Programming Approach to the Parisi Functional
  • Low temperature solution of the Sherrington-Kirkpatrick model
  • Low Temperature Asymptotics in Spherical Mean Field Spin Glasses
  • Scaling and Renormalization Group in Replica Symmetry Breaking space: Evidence for a simple analytical solution of the SK model at zero temperature

Cited by in corpus (2)

  • Low Temperature Asymptotics in Spherical Mean Field Spin Glasses
  • Disorder chaos in some diluted spin glass models
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