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arXiv:1204.5115 [math.PR]AbstractReferencesReviewsResources

The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models

Wei-Kuo Chen

Published 2012-04-23Version 1

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.

Comments: 16 pages. arXiv admin note: text overlap with arXiv:1112.4409
Categories: math.PR
Subjects: 60K35, 82B44
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