A question about Parisi functional

Details A question about Parisi functional A question about Parisi functional

2004-12-22

arxiv.org/abs/math/0412463v1

2005 Elect. Comm. in Probab. 10

Mathematics

Probability

Scientific paper

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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