Pinning by a sparse potential
Élise Janvresse, Thierry De La Rue, Yvan Velenik
Abstract
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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