The Parisi formula for mixed p-spin models

Details The Parisi formula for mixed p-spin models The Parisi formula for mixed p-spin models

2011-12-19

arxiv.org/abs/1112.4409v1

Mathematics

Probability

Scientific paper

The Parisi formula for the free energy in the Sherrington-Kirkpatrick and mixed p-spin models for even p \geq 2 was proved in the seminal work of Michel Talagrand, [24]. In this paper we prove the Parisi formula for general mixed p-spin models which also include p-spin interactions for odd p. Most of the ideas used in the paper are well known and can now be combined following a recent proof of the Parisi ultrametricity conjecture in [17].

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