Coarse graining, fractional moments and the critical slope of random copolymers

Details Coarse graining, fractional moments and the critical slope of random copolymers Coarse graining, fractional moments and the critical slope of random copolymers

2008-06-02

arxiv.org/abs/0806.0365v2

Electronic Journal of Probability 14, 531-547 (2009)

Mathematics

Probability

15 pages, 1 figure

Scientific paper

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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