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2005 A Question about the Parisi Functional
Dmitriy Panchenko
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Electron. Commun. Probab. 10: 155-166 (2005). DOI: 10.1214/ECP.v10-1145


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 the log-convexity of $L_m$ norm for a class or random variables.


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Dmitriy Panchenko. "A Question about the Parisi Functional." Electron. Commun. Probab. 10 155 - 166, 2005.


Accepted: 22 July 2005; Published: 2005
First available in Project Euclid: 4 June 2016

zbMATH: 1136.82332
MathSciNet: MR2162815
Digital Object Identifier: 10.1214/ECP.v10-1145

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