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A question about Parisi functional

Dmitry Panchenko
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Abstract

We conjecture that the Parisi functional in the SK model is convex in the functional order parameter and prove a partial result that shows the convexity along one-sided directions. A consequence of this result is log-convexity of L_1 norm for a class or random variables.

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Dmitry Panchenko. 2004-12-22. A question about Parisi functional. https://arxiv.org/abs/math/0412463

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