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The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models | Wei-Kuo Chen
; | Date: |
23 Apr 2012 | Abstract: | The Parisi formula for the free energy in the spherical models with mixed
even p-spin interactions was proven in Michel Talagrand [16]. In this paper we
study the general mixed p-spin spherical models including p-spin interactions
for odd p. We establish the Aizenman-Sims-Starr scheme and from this together
with many well-known results and Dmitry Panchenko’s recent proof on the Parisi
ultrametricity conjecture [11], we prove the Parisi formula. | Source: | arXiv, 1204.5115 | Services: | Forum | Review | PDF | Favorites |
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