A question about Parisi functional
classification
🧮 math.PR
math-phmath.MP
keywords
functionalparisiresultalongclassconjectureconsequenceconvex
read the original 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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