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

• Antonio Auffinger ^[1] ; Wei-Kuo Chen ^[2]
  1. [1] Northwestern University

     Northwestern University

     Township of Evanston, Estados Unidos

     
  2. [2] University of Minnesota

     University of Minnesota

     City of Minneapolis, Estados Unidos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 45, Nº. 6, 2, 2017, págs. 4617-4631
• Idioma: inglés
• DOI: 10.1214/16-AOP1173
• Enlaces
  • Texto completo
• Resumen

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