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2009 Coarse graining, fractional moments and the critical slope of random copolymers
Fabio Toninelli
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Electron. J. Probab. 14: 531-547 (2009). DOI: 10.1214/EJP.v14-612

Abstract

For a much-studied model of random copolymer at a selective interface we prove that the slope of the critical curve in the weak-disorder limit is strictly smaller than 1, which is the value given by the annealed inequality. The proof is based on a coarse-graining procedure, combined with upper bounds on the fractional moments of the partition function.

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Fabio Toninelli. "Coarse graining, fractional moments and the critical slope of random copolymers." Electron. J. Probab. 14 531 - 547, 2009. https://doi.org/10.1214/EJP.v14-612

Information

Accepted: 23 February 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1189.60186
MathSciNet: MR2480552
Digital Object Identifier: 10.1214/EJP.v14-612

Subjects:
Primary: 60K35
Secondary: 60K37, 82B44

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Vol.14 • 2009
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