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2013 A general smoothing inequality for disordered polymers
Francesco Caravenna, Frank den Hollander
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Electron. Commun. Probab. 18: 1-15 (2013). DOI: 10.1214/ECP.v18-2874


This note sharpens the smoothing inequality of Giacomin and Toninelli for disordered polymers. This inequality is shown to be valid for any disorder distribution with locally finite exponential moments, and to provide an asymptotically sharp constant for weak disorder. A key tool in the proof is an estimate that compares the effect on the free energy of tilting, respectively, shifting the disorder distribution. This estimate holds in large generality (way beyond disordered polymers) and is of independent interest.


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Francesco Caravenna. Frank den Hollander. "A general smoothing inequality for disordered polymers." Electron. Commun. Probab. 18 1 - 15, 2013.


Accepted: 18 September 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1329.60329
MathSciNet: MR3109631
Digital Object Identifier: 10.1214/ECP.v18-2874

Primary: 60K35
Secondary: 82B44 , 82D60

Keywords: Copolymer Model , Disorder Shift , Disorder Tilt , Disordered Polymer , pinning model , Smoothing Inequality

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