Pinning by a sparse potential

Details Pinning by a sparse potential Pinning by a sparse potential

2005-01-10

arxiv.org/abs/math/0501135v3

Stochastic Processes and their Applications 115 (2005) 1323-1331

Mathematics

Probability

to appear in Stochastic Processes and their Applications

Scientific paper

10.1016/j.spa.2005.03.004

We consider a directed polymer interacting with a diluted pinning potential
restricted to a line. We characterize explicitely the set of disorder
configurations that give rise to localization of the polymer. We study both
relevant cases of dimension 1+1 and 1+2. We also discuss the case of massless
effective interface models in dimension 2+1.

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