A question about Parisi functional
Probability
2011-11-10 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0412463,
title = {A question about Parisi functional},
author = {Dmitry Panchenko},
journal= {arXiv preprint arXiv:math/0412463},
year = {2011}
}