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arxiv: math/0405362 · v3 · submitted 2004-05-18 · 🧮 math.PR · cond-mat.dis-nn

Free energy in the generalized Sherrington-Kirkpatrick mean field model

classification 🧮 math.PR cond-mat.dis-nn
keywords modelsherrington-kirkpatricktalagrandarbitraryboundedbuildclassdeveloped
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Recently Michel Talagrand gave a rigorous proof of the Parisi formula in the Sherrington-Kirkpatrick model. In this paper we build upon the methodology developed by Talagrand and extend his result to the class of SK type models in which the spins have arbitrary prior distribution on a bounded subset of the real line.

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