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arxiv: 1201.2891 · v1 · pith:NRNC24MVnew · submitted 2012-01-13 · 🧮 math.PR · cond-mat.dis-nn· math-ph· math.MP

An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model

classification 🧮 math.PR cond-mat.dis-nnmath-phmath.MP
keywords iterativeconstructionmodelsolutionsalmayda-thouless-lineconvergederivedequations
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We propose an iterative construction of solutions of the Thouless-Anderson-Palmer-equations for the Sherrington-Kirpatrick model. The iterative scheme is proved to converge exactly up to the de Almayda-Thouless-line. No results on the SK-model itself are derived.

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