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A Question about the Parisi Functional


 
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1. Title Title of document A Question about the Parisi Functional
 
2. Creator Author's name, affiliation, country Dmitriy Panchenko; Massachusetts Institute of Technology, USA
 
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4. Description 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.
 
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7. Date (YYYY-MM-DD) 2005-07-22
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1145
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1145
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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