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A Question about the Parisi Functional

   
@article{ECP1145,
	author = {Dmitriy Panchenko},
	title = {A Question about the Parisi Functional},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	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 the log-convexity of $L_m$ norm for a class or random variables.},
	pages = {no. 16, 155-166},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1145},    
        url = {http://ecp.ejpecp.org/article/view/1145}}